George Karniadakis received his S.M. (1984) and Ph.D. (1987) from Massachusetts Institute of Technology. He was appointed Lecturer in the Department of Mechanical Engineering at MIT in 1987 and subsequently he joined the Center for Turbulence Research at Stanford / Nasa Ames. He joined Princeton University as Assistant Professor in the Department of Mechanical and Aerospace Engineering and as Associate Faculty in the Program of Applied and Computational Mathematics. He was a Visiting Professor at Caltech (1993) in the Aeronautics Department. He joined Brown University as Associate Professor of Applied Mathematics in the Center for Fluid Mechanics on January 1, 1994. He became a full professor on July 1, 1996. He has been a Visiting Professor and Senior Lecturer of Ocean/Mechanical Engineering at MIT since September 1, 2000. He was Visiting Professor at Peking University (Fall 2007 & 2013). He is a Fellow of AAAS (2019), the Society for Industrial and Applied Mathematics (SIAM, 2010-), Fellow of the American Physical Society (APS, 2004-), Fellow of the American Society of Mechanical Engineers (ASME, 2003-) and Associate Fellow of the American Institute of Aeronautics and Astronautics (AIAA, 2006-). He received the SIAM/ACM Prize in Computational Science & Engineering (2021), the SIAM Ralf Kleinman Award (2015), CFD award (2007) and the inaugoral J Tinsley Oden Medal (2013) by the US Association in Computational Mechanics. His h-index is 109 and he has been cited over 55,500 times (see my google scholar citations). See complete CV here. You can also check out our Geneaology Tree (remember to zoom in!).
| Yu, Yue, Bargos, Fabiano F., You, Huaiqian, Parks, Michael L., Bittencourt, Marco L., Karniadakis, George E. "A partitioned coupling framework for peridynamics and classical theory: Analysis and simulations." Computer Methods in Applied Mechanics and Engineering, vol. 340, 2018, pp. 905-931. |
| Bonfiglio, Luca, Perdikaris, Paris, del Águila, Jose, Karniadakis, George E. "A probabilistic framework for multidisciplinary design: Application to the hydrostructural optimization of supercavitating hydrofoils." International Journal for Numerical Methods in Engineering, vol. 116, no. 4, 2018, pp. 246-269. |
| Tang YH, Zhang D, Karniadakis GE. "An atomistic fingerprint algorithm for learning ab initio molecular force fields." The Journal of Chemical Physics, vol. 148, no. 3, 2018, pp. 034101. |
| Li H, Lu L, Li X, Buffet PA, Dao M, Karniadakis GE, Suresh S. "Mechanics of diseased red blood cells in human spleen and consequences for hereditary blood disorders." Proceedings of the National Academy of Sciences, vol. 115, no. 38, 2018, pp. 9574-9579. |
| Chang HY, Yazdani A, Li X, Douglas KAA, Mantzoros CS, Karniadakis GE. "Quantifying Platelet Margination in Diabetic Blood Flow." Biophysical Journal, vol. 115, no. 7, 2018, pp. 1371-1382. |
| Papageorgiou DP, Abidi SZ, Chang HY, Li X, Kato GJ, Karniadakis GE, Suresh S, Dao M. "Simultaneous polymerization and adhesion under hypoxia in sickle cell disease." Proceedings of the National Academy of Sciences, vol. 115, no. 38, 2018, pp. 9473-9478. |
| Xu M, Papageorgiou DP, Abidi SZ, Dao M, Zhao H, Karniadakis GE. "A deep convolutional neural network for classification of red blood cells in sickle cell anemia." PLOS Computational Biology, vol. 13, no. 10, 2017, pp. e1005746. |
| Yazdani, Alireza, Li, He, Humphrey, Jay D., Karniadakis, George Em. "A General Shear-Dependent Model for Thrombus Formation." PLOS Computational Biology, vol. 13, no. 1, 2017, pp. e1005291. |
| Blumers, Ansel L., Tang, Yu-Hang, Li, Zhen, Li, Xuejin, Karniadakis, George E. "GPU-accelerated red blood cells simulations with transport dissipative particle dynamics." Computer Physics Communications, vol. 217, 2017, pp. 171-179. |
| Chang HY, Li X, Karniadakis GE. "Modeling of biomechanics and biorheology of red blood cells In type-2 diabetes mellitus." Biophysical Journal, vol. 113, no. 2, 2017, pp. 481-490. |
| Bian, Xin, Kim, Changho, Karniadakis, George Em. "111 years of Brownian motion." Soft Matter, vol. 12, no. 30, 2016, pp. 6331-6346. |
| Li, Zhen, Bian, Xin, Yang, Xiu, Karniadakis, George Em. "A comparative study of coarse-graining methods for polymeric fluids: Mori-Zwanzig vs. iterative Boltzmann inversion vs. stochastic parametric optimization." The Journal of Chemical Physics, vol. 145, no. 4, 2016, pp. 044102. |
| Witthoft, Alexandra, Yazdani, Alireza, Peng, Zhangli, Bellini, Chiara, Humphrey, Jay D., Karniadakis, George Em. "A discrete mesoscopic particle model of the mechanics of a multi-constituent arterial wall." J. R. Soc. Interface, vol. 13, no. 114, 2016, pp. 20150964. |
| Song, Fangying, Xu, Chuanju, Karniadakis, George Em. "A fractional phase-field model for two-phase flows with tunable sharpness: Algorithms and simulations." Computer Methods in Applied Mechanics and Engineering, vol. 305, 2016, pp. 376-404. |
| Bian, Xin, Deng, Mingge, Tang, Yu-Hang, Karniadakis, George Em. "Analysis of hydrodynamic fluctuations in heterogeneous adjacent multidomains in shear flow." Physical Review E, vol. 93, no. 3, 2016. |
| Li, Xuejin, Dao, Ming, Lykotrafitis, George, Karniadakis, George Em. "Biomechanics and biorheology of red blood cells in sickle cell anemia." Journal of Biomechanics, vol. 50, 2016, pp. 34-41. |
| Pivkin, Igor V., Peng, Zhangli, Karniadakis, George E., Buffet, Pierre A., Dao, Ming, Suresh, Subra. "Biomechanics of red blood cells in human spleen and consequences for physiology and disease." Proceedings of the National Academy of Sciences, vol. 113, no. 28, 2016, pp. 7804-7809. |
| Deng, Mingge, Li, Zhen, Borodin, Oleg, Karniadakis, George Em. "cDPD: A new dissipative particle dynamics method for modeling electrokinetic phenomena at the mesoscale." The Journal of Chemical Physics, vol. 145, no. 14, 2016, pp. 144109. |
| Yazdani, Alireza, Li, Xuejin, Karniadakis, George Em. "Dynamic and rheological properties of soft biological cell suspensions." Rheologica Acta, vol. 55, no. 6, 2016, pp. 433-449. |
| Zeng, Fanhai, Zhang, Zhongqiang, Karniadakis, George Em. "Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations." Journal of Computational Physics, vol. 307, 2016, pp. 15-33. |
| Yazdani, Alireza, Deng, Mingge, Caswell, Bruce, Karniadakis, George Em. "Flow in complex domains simulated by Dissipative Particle Dynamics driven by geometry-specific body-forces." Journal of Computational Physics, vol. 305, 2016, pp. 906-920. |
| Yu, Yue, Perdikaris, Paris, Karniadakis, George Em. "Fractional modeling of viscoelasticity in 3D cerebral arteries and aneurysms." Journal of Computational Physics, vol. 323, 2016, pp. 219-242. |
| Perdikaris P, Karniadakis GE. "Model inversion via multi-fidelity Bayesian optimization: a new paradigm for parameter estimation in haemodynamics, and beyond." Journal of The Royal Society Interface, vol. 13, no. 118, 2016. |
| Babaee, H., Perdikaris, P., Chryssostomidis, C., Karniadakis, G. E. "Multi-fidelity modelling of mixed convection based on experimental correlations and numerical simulations." Journal of Fluid Mechanics, vol. 809, 2016, pp. 895-917. |
| Perdikaris, Paris, Grinberg, Leopold, Karniadakis, George Em. "Multiscale modeling and simulation of brain blood flow." Physics of Fluids, vol. 28, no. 2, 2016, pp. 021304. |
| Tang, Yu-Hang, Li, Zhen, Li, Xuejin, Deng, Mingge, Karniadakis, George Em. "Non-Equilibrium Dynamics of Vesicles and Micelles by Self-Assembly of Block Copolymers with Double Thermoresponsivity." Macromolecules, vol. 49, no. 7, 2016, pp. 2895-2903. |
| Cho, H., Venturi, D., Karniadakis, G.E. "Numerical methods for high-dimensional probability density function equations." Journal of Computational Physics, vol. 305, 2016, pp. 817-837. |
| Lu, Lu, Li, Xuejin, Vekilov, Peter G., Karniadakis, George Em. "Probing the Twisted Structure of Sickle Hemoglobin Fibers via Particle Simulations." Biophysical Journal, vol. 110, no. 9, 2016, pp. 2085-93. |
| Yazdani A, Karniadakis GE. "Sub-cellular modeling of platelet transport in blood flow through microchannels with constriction." Soft Matter, vol. 12, no. 19, 2016, pp. 4339-51. |
| Perdikaris, Paris, Insley, Joseph A., Grinberg, Leopold, Yu, Yue, Papka, Michael E., Karniadakis, George Em. "Visualizing multiphysics, fluid-structure interaction phenomena in intracranial aneurysms." Parallel Computing, vol. 55, 2016, pp. 9-16. |
| Perdikaris P, Insley JA, Grinberg L, Yu Y, Papka ME, Karniadakis GE. "Visualizing multiphysics, fluid-structure interaction phenomena in intracranial aneurysms." Parallel Computing, vol. 55, 2016, pp. 9-16. |
| Zeng, Fanhai, Zhang, Zhongqiang, Karniadakis, George Em. "A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations." SIAM J. Sci. Comput., vol. 37, no. 6, 2015, pp. A2710-A2732. |
| Zheng, X., Babaee, H., Dong, S., Chryssostomidis, C., Karniadakis, G.E. "A phase-field method for 3D simulation of two-phase heat transfer." International Journal of Heat and Mass Transfer, vol. 82, 2015, pp. 282-298. |
| Zayernouri, Mohsen, Ainsworth, Mark, Karniadakis, George Em. "A unified Petrov–Galerkin spectral method for fractional PDEs." Computer Methods in Applied Mechanics and Engineering, vol. 283, 2015, pp. 1545-1569. |
| Lucor, D., Karniadakis, G. E. "Adaptive Generalized Polynomial Chaos for Nonlinear Random Oscillators." J. Fluid Mech., vol. 782, no. 2, 2015, pp. 300-332. |
| Zheng, Mengdi, Wan, Xiaoliang, Karniadakis, George Em. "Adaptive multi-element polynomial chaos with discrete measure: Algorithms and application to SPDEs." Applied Numerical Mathematics, vol. 90, 2015, pp. 91-110. |
| Zheng, M., X. Wan and G. E. Karniadakis. "Adaptive-multi-element polynomial chaos with discrete measure: Algorithms and application to SPDEs." Applied Numerical Mathematics, vol. 90, 2015, pp. 91-110. |
| Cho, H., Yang, X., Venturi, D., Karniadakis, G. E. "Algorithms for Propagating Uncertainty Across Heterogeneous Domains." SIAM J. Sci. Comput., vol. 37, no. 6, 2015, pp. A3030-A3054. |
| Deng, Mingge, Grinberg, Leopold, Caswell, Bruce, Karniadakis, George Em. "Effects of thermal noise on the transitional dynamics of an inextensible elastic filament in stagnation flow." Soft Matter, vol. 11, no. 24, 2015, pp. 4962-4972. |
| Zhang, Zheng, Yang, Xiu, Oseledets, Ivan V., Karniadakis, George E., Daniel, Luca. "Enabling High-Dimensional Hierarchical Uncertainty Quantification by ANOVA and Tensor-Train Decomposition." IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, vol. 34, no. 1, 2015, pp. 63-76. |
| Bian, Xin, Li, Zhen, Deng, Mingge, Karniadakis, George Em. "Fluctuating hydrodynamics in periodic domains and heterogeneous adjacent multidomains: Thermal equilibrium." Physical Review E, vol. 92, no. 5, 2015. |
| Zayernouri, Mohsen, Karniadakis, George Em. "Fractional spectral collocation methods for linear and nonlinear variable order FPDEs." Journal of Computational Physics, vol. 293, 2015, pp. 312-338. |
| Li, Zhen, Bian, Xin, Li, Xiantao, Karniadakis, George Em. "Incorporation of memory effects in coarse-grained modeling via the Mori-Zwanzig formalism." The Journal of Chemical Physics, vol. 143, no. 24, 2015, pp. 243128. |
| Li Z, Tang YH, Li X, Karniadakis GE. "Mesoscale modeling of phase transition dynamics of thermoresponsive polymers." Chem. Commun., vol. 51, no. 55, 2015, pp. 11038-11040. |
| Peng, Zhangli, Pivkin, Igor, Dao, Ming, Karniadakis, George. "Modeling Transmigration of Malaria Infected Red Blood Cells through Inter-Endothelial Slits in Human Spleens using Dissipative Particle Dynamics." Biophysical Journal, vol. 108, no. 2, 2015, pp. 458a. |
| Perdikaris, P., Venturi, D., Royset, J. O., Karniadakis, G. E. "Multi-fidelity modelling via recursive co-kriging and Gaussian–Markov random fields." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 471, no. 2179, 2015, pp. 20150018. |
| Bian, Xin, Li, Zhen, Karniadakis, George Em. "Multi-resolution flow simulations by smoothed particle hydrodynamics via domain decomposition." Journal of Computational Physics, vol. 297, 2015, pp. 132-155. |
| Tang, Yu-Hang, Kudo, Shuhei, Bian, Xin, Li, Zhen, Karniadakis, George Em. "Multiscale Universal Interface: A concurrent framework for coupling heterogeneous solvers." Journal of Computational Physics, vol. 297, 2015, pp. 13-31. |
| Zheng, M., and G. E. Karniadakis. "Numerical methods for SPDEs with tempered stable processes." SIAM J. Sci. Comp, 2015. |
| Cao, Wanrong, Zhang, Zhongqiang, Karniadakis, George Em. "Numerical Methods for Stochastic Delay Differential Equations Via the Wong--Zakai Approximation." SIAM J. Sci. Comput., vol. 37, no. 1, 2015, pp. A295-A318. |
| Bourguet, Rémi, Em Karniadakis, George, Triantafyllou, Michael S. "On the validity of the independence principle applied to the vortex-induced vibrations of a flexible cylinder inclined at 60°." Journal of Fluids and Structures, vol. 53, 2015, pp. 58-69. |
| Li, Xuejin, Du, E., Lei, Huan, Tang, Yu-Hang, Dao, Ming, Suresh, Subra, Karniadakis, George Em. "Patient-specific blood rheology in sickle-cell anaemia." Interface Focus, vol. 6, no. 1, 2015, pp. 20150065. |
| Kim, Changho, Borodin, Oleg, Karniadakis, George Em. "Quantification of sampling uncertainty for molecular dynamics simulation: Time-dependent diffusion coefficient in simple fluids." Journal of Computational Physics, vol. 302, 2015, pp. 485-508. |
| Lee, Seungjoon, Kevrekidis, Ioannis G, Karniadakis, George Em. "Resilient algorithms for reconstructing and simulating gappy flow fields in CFD." Fluid Dynamics Research, vol. 47, no. 5, 2015, pp. 051402. |
| Zhao, Xuan, Sun, Zhi-zhong, Karniadakis, George Em. "Second-order approximations for variable order fractional derivatives: Algorithms and applications." Journal of Computational Physics, vol. 293, 2015, pp. 184-200. |
| Karniadakis, George Em, Hesthaven, Jan S., Podlubny, Igor. "Special Issue on “Fractional PDEs: Theory, Numerics, and Applications”." Journal of Computational Physics, vol. 293, 2015, pp. 1-3. |
| Yildirim, B., Karniadakis, George Em. "Stochastic simulations of ocean waves: An uncertainty quantification study." Ocean Modelling, vol. 86, 2015, pp. 15-35. |
| Yu, Yue, Xie, Fangfang, Yan, Hongmei, Constantinides, Yiannis, Oakley, Owen, Karniadakis, George Em. "Suppression of vortex-induced vibrations by fairings: A numerical study." Journal of Fluids and Structures, vol. 54, 2015, pp. 679-700. |
| Li, Zhen, Yazdani, Alireza, Tartakovsky, Alexandre, Karniadakis, George Em. "Transport dissipative particle dynamics model for mesoscopic advection-diffusion-reaction problems." The Journal of Chemical Physics, vol. 143, no. 1, 2015, pp. 014101. |
| Zhang, Zhongqiang, Tretyakov, Michael V., Rozovskii, Boris, Karniadakis, George E. "Wiener Chaos Versus Stochastic Collocation Methods for Linear Advection-Diffusion-Reaction Equations with Multiplicative White Noise." SIAM Journal on Numerical Analysis, vol. 53, no. 1, 2015, pp. 153-183. |
| Witthoft, Alexandra E., Filosa, Jessica A., Karniadakis, George E. "A Computational Model of Astrocyte Potassium Buffering and Bidirectional Signaling in the Neurovascular Unit." Biophysical Journal, vol. 106, no. 2, 2014, pp. 596a. |
| Zhang, Z., Tretyakov, M. V., Rozovskii, B., Karniadakis, G. E. "A Recursive Sparse Grid Collocation Method for Differential Equations with White Noise." SIAM J. Sci. Comput., vol. 36, no. 4, 2014, pp. A1652-A1677. |
| Z. Zhang, M. V. Tretyakov, B. Rozovskii and G. E. Karniadakis. "A recursive sparse grid collocation method for differential equations with white noise." vol. 36, no. 4, 2014, pp. A1652-A1677. |
| Dong, S., Karniadakis, G.E., Chryssostomidis, C. "A robust and accurate outflow boundary condition for incompressible flow simulations on severely-truncated unbounded domains." Journal of Computational Physics, vol. 261, 2014, pp. 83-105. |
| S. Dong, G. E. Karniadakis and C. Chryssotomidis. "A robust and accurate outflow boundary condition for incompressible flow simulations on severely-truncated unbounded domains." J. Comput. Phys., vol. 261, 2014, pp. 83-105. |
| Yu, Yue, Bittencourt, Marco L., Karniadakis, George Em. "A semi-local spectral/hp element solver for linear elasticity problems." International Journal for Numerical Methods in Engineering, vol. 100, no. 5, 2014, pp. 347-373. |
| Tang, Yu-Hang, Karniadakis, George Em. "Accelerating dissipative particle dynamics simulations on GPUs: Algorithms, numerics and applications." Computer Physics Communications, vol. 185, no. 11, 2014, pp. 2809-2822. |
| Perdikaris, Paris, Grinberg, Leopold, Karniadakis, George Em. "An Effective Fractal-Tree Closure Model for Simulating Blood Flow in Large Arterial Networks." Annals of Biomedical Engineering, vol. 43, no. 6, 2014, pp. 1432-1442. |
| Kim, C., and G. E. Karniadakis. "Brownian motion of a Rayleigh particle confined in a channel: A generalized Langevin equation approach." Journal of Statistical Physics, 2014, pp. 10.1077/s10955-014-1160-2. |
| Kim, Changho, Karniadakis, George Em. "Brownian Motion of a Rayleigh Particle Confined in a Channel: A Generalized Langevin Equation Approach." Journal of Statistical Physics, vol. 158, no. 5, 2014, pp. 1100-1125. |
| Deng, Mingge, Karniadakis, George Em. "Coarse-Grained Modeling of Protein Unfolding Dynamics." Multiscale Modeling & Simulation, vol. 12, no. 1, 2014, pp. 109-118. |
| Li, A., X. Bian, B. Caswell, and G. E. Karniadakis. "Construction of dissipative particle dynamics models for complex fluids via the Mori-Zwanzig fomulation." Soft Matter, vol. 10, no. 43, 2014, pp. 8659-8672. |
| Li, Zhen, Bian, Xin, Caswell, Bruce, Karniadakis, George Em. "Construction of dissipative particle dynamics models for complex fluids via the Mori–Zwanzig formulation." Soft Matter, vol. 10, no. 43, 2014, pp. 8659-8672. |
| Venturi, D., Karniadakis, G. E. "Convolutionless Nakajima-Zwanzig equations for stochastic analysis in nonlinear dynamical systems." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 470, no. 2166, 2014, pp. 20130754-20130754. |
| Zayernouri, Mohsen, Karniadakis, George Em. "Discontinuous Spectral Element Methods for Time- and Space-Fractional Advection Equations." SIAM J. Sci. Comput., vol. 36, no. 4, 2014, pp. B684-B707. |
| Deng, M., and G. E. Karniadakis. "Electrostatic correlations near charged planar surfaces." The Journal of Chemical Physics, vol. 141, no. 9, 2014. |
| Deng, Mingge, Em Karniadakis, George. "Electrostatic correlations near charged planar surfaces." The Journal of Chemical Physics, vol. 141, no. 9, 2014, pp. 094703. |
| Li, Zhen, Tang, Yu-Hang, Lei, Huan, Caswell, Bruce, Karniadakis, George Em. "Energy-conserving dissipative particle dynamics with temperature-dependent properties." Journal of Computational Physics, vol. 265, 2014, pp. 113-127. |
| Zayernouri, Mohsen, Karniadakis, George Em. "Exponentially accurate spectral and spectral element methods for fractional ODEs." Journal of Computational Physics, vol. 257, 2014, pp. 460-480. |
| Zayernouri, Mohsen, Karniadakis, George Em. "Fractional Spectral Collocation Method." SIAM J. Sci. Comput., vol. 36, no. 1, 2014, pp. A40-A62. |
| Perdikaris P, Karniadakis GE. "Fractional-order viscoelasticity in one-dimensional blood flow models." Annals of Biomedical Engineering, vol. 42, no. 5, 2014, pp. 1012-23. |
| Choi, Minseok, Sapsis, Themistoklis P., Karniadakis, George Em. "On the equivalence of dynamically orthogonal and bi-orthogonal methods: Theory and numerical simulations." Journal of Computational Physics, vol. 270, 2014, pp. 1-20. |
| Choi, M., T. Sapsis, and G. E. Karniadakis. "On the equivalence of dynamically orthogonal and dynamically bi-orthogonal methods: Theory and numerical simulations." SIAM J. Sci. Comp, vol. 270, 2014, pp. 1 - 20. |
| Peng, Zhangli, Li, Xuejin, Karniadakis, George, Dao, Ming. "Poster: Multiscale simulation of red blood cell tethering in a capillary." 67th Annual Meeting of the APS Division of Fluid Dynamics - Gallery of Fluid Motion, 2014. |
| Li, X., Peng, Z., Lei, H., Dao, M., Karniadakis, G. E. "Probing red blood cell mechanics, rheology and dynamics with a two-component multi-scale model." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 372, no. 2021, 2014, pp. 20130389-20130389. |
| Zayernouri, Mohsen, Cao, Wanrong, Zhang, Zhongqiang, Karniadakis, George Em. "Spectral and Discontinuous Spectral Element Methods for Fractional Delay Equations." SIAM J. Sci. Comput., vol. 36, no. 6, 2014, pp. B904-B929. |
| Cho, H., Venturi, D., Karniadakis, G. E. "Statistical analysis and simulation of random shocks in stochastic Burgers equation." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 470, no. 2171, 2014, pp. 20140080-20140080. |
| Zhang, Zheng, Yang, Xiu, Marucci, Giovanni, Maffezzoni, Paolo, Elfadel, Ibrahim Abe M., Karniadakis, George, Daniel, Luca. "Stochastic testing simulator for integrated circuits and MEMS: Hierarchical and sparse techniques." Proceedings of the IEEE 2014 Custom Integrated Circuits Conference, 2014. |
| Kim, Changho, Karniadakis, George Em. "Time Correlation Functions of Brownian Motion and Evaluation of Friction Coefficient in the Near-Brownian-Limit Regime." Multiscale Modeling & Simulation, vol. 12, no. 1, 2014, pp. 225-248. |
| Peng, Zhangli, Pivkin, Igor V., Li, Xuejin, Karniadakis, George E., Dao, Ming. "Two-Component Dissipative Particle Dynamics Model of Red Blood Cells." Biophysical Journal, vol. 106, no. 2, 2014, pp. 573a. |
| Peng, Zhangli, Pivkin, Igor, Karniadakis, George, Dao, Ming. "Video: Transmigration of a red blood cell through an interendothelial slit in the human spleen." 67th Annual Meeting of the APS Division of Fluid Dynamics - Gallery of Fluid Motion, 2014. |
| Choi, Minseok, Sapsis, Themistoklis P., Karniadakis, George Em. "A convergence study for SPDEs using combined Polynomial Chaos and Dynamically-Orthogonal schemes." Journal of Computational Physics, vol. 245, 2013, pp. 281-301. |
| Cho, H., Venturi, D., Karniadakis, G. E. "Adaptive Discontinuous Galerkin Method for Response-Excitation PDF Equations." SIAM J. Sci. Comput., vol. 35, no. 4, 2013, pp. B890-B911. |
| Lei, Huan, Fedosov, Dmitry A., Caswell, Bruce, Karniadakis, George Em. "Blood flow in small tubes: quantifying the transition to the non-continuum regime." J. Fluid Mech., vol. 722, 2013, pp. 214-239. |
| Bourguet, Rémi, Karniadakis, George Em, Triantafyllou, Michael S. "Distributed lock-in drives broadband vortex-induced vibrations of a long flexible cylinder in shear flow." J. Fluid Mech., vol. 717, 2013, pp. 361-375. |
| Venturi, D., Tartakovsky, D.M., Tartakovsky, A.M., Karniadakis, G.E. "Exact PDF equations and closure approximations for advective-reactive transport." Journal of Computational Physics, vol. 243, 2013, pp. 323-343. |
| Zayernouri, Mohsen, Karniadakis, George Em. "Fractional Sturm–Liouville eigen-problems: Theory and numerical approximation." Journal of Computational Physics, vol. 252, 2013, pp. 495-517. |
| Yu, Yue, Baek, Hyoungsu, Karniadakis, George Em. "Generalized fictitious methods for fluid–structure interactions: Analysis and simulations." Journal of Computational Physics, vol. 245, 2013, pp. 317-346. |
| Prempraneerach, P., Brizzolara, S., Karniadakis, G. E., Chryssostomidis, C. "Integrated simulation framework for crash back operation." 2013 IEEE Electric Ship Technologies Symposium (ESTS), 2013. |
| Cho, H., Venturi, D., Karniadakis, G.E. "Karhunen–Loève expansion for multi-correlated stochastic processes." Probabilistic Engineering Mechanics, vol. 34, 2013, pp. 157-167. |
| Peng, Z., Li, X., Pivkin, I. V., Dao, M., Karniadakis, G. E., Suresh, S. "Lipid bilayer and cytoskeletal interactions in a red blood cell." Proceedings of the National Academy of Sciences, vol. 110, no. 33, 2013, pp. 13356-13361. |
| Kim, Changho, Karniadakis, George Em. "Microscopic theory of Brownian motion revisited: The Rayleigh model." Physical Review E, vol. 87, no. 3, 2013. |
| Bourguet, Rémi, Karniadakis, George Em, Triantafyllou, Michael S. "Multi-frequency vortex-induced vibrations of a long tensioned beam in linear and exponential shear flows." Journal of Fluids and Structures, vol. 41, 2013, pp. 33-42. |
| Zhang, Zhongqiang, Yang, Xiu, Lin, Guang, Karniadakis, George Em. "Numerical solution of the Stratonovich- and Ito–Euler equations: Application to the stochastic piston problem." Journal of Computational Physics, vol. 236, 2013, pp. 15-27. |
| Prempraneerach, P., Angle, M. G., Kirtley, J. L., Karniadakis, G. E., Chryssostomidis, C. "Optimization of a z-source DC circuit breaker." Physical Review E, 2013. |
| Grinberg, Leopold, Fedosov, Dmitry A., Karniadakis, George Em. "Parallel multiscale simulations of a brain aneurysm." Journal of Computational Physics, vol. 244, 2013, pp. 131-147. |
| Bourguet, Rémi, Karniadakis, George Em, Triantafyllou, Michael S. "Phasing mechanisms between the in-line and cross-flow vortex-induced vibrations of a long tensioned beam in shear flow." Computers & Structures, vol. 122, 2013, pp. 155-163. |
| Lei H, Karniadakis GE. "Probing vasoocclusion phenomena in sickle cell anemia via mesoscopic simulations." Proceedings of the National Academy of Sciences, vol. 110, no. 28, 2013, pp. 11326-30. |
| Yang, Xiu, Karniadakis, George Em. "Reweighted minimization method for stochastic elliptic differential equations." Journal of Computational Physics, vol. 248, 2013, pp. 87-108. |
| Zayernouri, Mohsen, Park, Sang-Woo, Tartakovsky, Daniel M., Karniadakis, George Em. "Stochastic smoothed profile method for modeling random roughness in flow problems." Computer Methods in Applied Mechanics and Engineering, vol. 263, 2013, pp. 99-112. |
| Steinman, David A., Hoi, Yiemeng, Fahy, Paul, Morris, Liam, Walsh, Michael T., Aristokleous, Nicolas, Anayiotos, Andreas S., Papaharilaou, Yannis, Arzani, Amirhossein, Shadden, Shawn C., Berg, Philipp, Janiga, Gábor, Bols, Joris, Segers, Patrick, Bressloff, Neil W., Cibis, Merih, Gijsen, Frank H., Cito, Salvatore, Pallarés, Jordi, Browne, Leonard D., Costelloe, Jennifer A., Lynch, Adrian G., Degroote, Joris, Vierendeels, Jan, Fu, Wenyu, Qiao, Aike, Hodis, Simona, Kallmes, David F., Kalsi, Hardeep, Long, Quan, Kheyfets, Vitaly O., Finol, Ender A., Kono, Kenichi, Malek, Adel M., Lauric, Alexandra, Menon, Prahlad G., Pekkan, Kerem, Esmaily Moghadam, Mahdi, Marsden, Alison L., Oshima, Marie, Katagiri, Kengo, Peiffer, Véronique, Mohamied, Yumnah, Sherwin, Spencer J., Schaller, Jens, Goubergrits, Leonid, Usera, Gabriel, Mendina, Mariana, Valen-Sendstad, Kristian, Habets, Damiaan F., Xiang, Jianping, Meng, Hui, Yu, Yue, Karniadakis, George E., Shaffer, Nicholas, Loth, Francis. "Variability of Computational Fluid Dynamics Solutions for Pressure and Flow in a Giant Aneurysm: The ASME 2012 Summer Bioengineering Conference CFD Challenge." Journal of Biomechanical Engineering, vol. 135, no. 2, 2013, pp. 021016. |
| Venturi, D., Wan, X., Mikulevicius, R., Rozovskii, B. L., Karniadakis, G. E. "Wick-Malliavin approximation to nonlinear stochastic partial differential equations: analysis and simulations." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 469, no. 2158, 2013, pp. 20130001-20130001. |
| Baek, Hyoungsu, Karniadakis, George Em. "A convergence study of a new partitioned fluid–structure interaction algorithm based on fictitious mass and damping." Journal of Computational Physics, vol. 231, no. 2, 2012, pp. 629-652. |
| Yildirim, B., Karniadakis, George Em. "A hybrid spectral/DG method for solving the phase-averaged ocean wave equation: Algorithm and validation." Journal of Computational Physics, vol. 231, no. 14, 2012, pp. 4921-4953. |
| Zhang, Z., Rozovskii, B., Tretyakov, M. V., Karniadakis, G. E. "A Multistage Wiener Chaos Expansion Method for Stochastic Advection-Diffusion-Reaction Equations." SIAM J. Sci. Comput., vol. 34, no. 2, 2012, pp. A914-A936. |
| Yang, Xiu, Choi, Minseok, Lin, Guang, Karniadakis, George Em. "Adaptive ANOVA decomposition of stochastic incompressible and compressible flows." Journal of Computational Physics, vol. 231, no. 4, 2012, pp. 1587-1614. |
| Li, Xuejin, Popel, Aleksander S, Karniadakis, George Em. "Blood–plasma separation in Y-shaped bifurcating microfluidic channels: a dissipative particle dynamics simulation study." Phys. Biol., vol. 9, no. 2, 2012, pp. 026010. |
| Yu, Yue, Baek, Hyoungsu, Karniadakis, George Em. "CFD Challenge: Solutions Using the Spectral Element Solver NEKTAR." ASME 2012 Summer Bioengineering Conference, Parts A and B, 2012. |
| Li, Xuejin, Vlahovska, Petia M., Karniadakis, George Em. "Continuum- and particle-based modeling of shapes and dynamics of red blood cells in health and disease." Soft Matter, vol. 9, no. 1, 2012, pp. 28-37. |
| Venturi, Daniele, Karniadakis, George Em. "DIFFERENTIAL CONSTRAINTS FOR THE PROBABILITY DENSITY FUNCTION OF STOCHASTIC SOLUTIONS TO THE WAVE EQUATION." Int. J. UncertaintyQuantification, vol. 2, no. 3, 2012, pp. 195-213. |
| Zhang, Zhongqiang, Choi, Minseok, Karniadakis, George Em. "Error Estimates for the ANOVA Method with Polynomial Chaos Interpolation: Tensor Product Functions." SIAM J. Sci. Comput., vol. 34, no. 2, 2012, pp. A1165-A1186. |
| Yu, Yue, Baek, Hyoungsu, Bittencourt, Marco L., Karniadakis, George Em. "Mixed spectral/hp element formulation for nonlinear elasticity." Computer Methods in Applied Mechanics and Engineering, vol. 213-216, 2012, pp. 42-57. |
| Grinberg, Leopold, Deng, Mingge, Lei, Huan, Insley, Joseph A., Karniadakis, George Em. "Multiscale simulations of blood-flow." Proceedings of the 1st Conference of the Extreme Science and Engineering Discovery Environment on Bridging from the eXtreme to the campus and beyond - XSEDE '12, 2012. |
| Venturi, D., Karniadakis, G.E. "New evolution equations for the joint response-excitation probability density function of stochastic solutions to first-order nonlinear PDEs." Journal of Computational Physics, vol. 231, no. 21, 2012, pp. 7450-7474. |
| Lei H, Karniadakis GE. "Predicting the morphology of sickle red blood cells using coarse-grained models of intracellular aligned hemoglobin polymers." Soft Matter, vol. 8, no. 16, 2012, pp. 4507. |
| Deng, Mingge, Li, Xuejin, Liang, Haojun, Caswell, Bruce, Karniadakis, George Em. "Simulation and modelling of slip flow over surfaces grafted with polymer brushes and glycocalyx fibres." J. Fluid Mech., vol. 711, 2012, pp. 192-211. |
| Venturi, D., Choi, M., Karniadakis, G.E. "Supercritical quasi-conduction states in stochastic Rayleigh–Bénard convection." International Journal of Heat and Mass Transfer, vol. 55, no. 13-14, 2012, pp. 3732-3743. |
| Grinberg, Leopold, Insley, Joseph A., Fedosov, Dmitry A., Morozov, Vitali, Papka, Michael E., Karniadakis, George Em. "Tightly Coupled Atomistic-Continuum Simulations of Brain Blood Flow on Petaflop Supercomputers." Comput. Sci. Eng., vol. 14, no. 6, 2012, pp. 58-67. |
| Venturi, D., Sapsis, T. P., Cho, H., Karniadakis, G. E. "A computable evolution equation for the joint response-excitation probability density function of stochastic dynamical systems." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 468, no. 2139, 2011, pp. 759-783. |
| Grinberg, Leopold, Insley, Joseph A., Morozov, Vitali, Papka, Michael E., Karniadakis, George Em, Fedosov, Dmitry, Kumaran, Kalyan. "A new computational paradigm in multiscale simulations." Proceedings of 2011 International Conference for High Performance Computing, Networking, Storage and Analysis on - SC '11, 2011. |
| Insley, Joseph A., Grinberg, Leopold, Fedosov, Dmitry A., Morozov, Vitali, Caswell, Bruce, Papka, Michael E., Karniadakis, Geroge Em. "Blood flow." Proceedings of the 2011 companion on High Performance Computing Networking, Storage and Analysis Companion - SC '11 Companion, 2011. |
| Quinn DJ, Pivkin I, Wong SY, Chiam KH, Dao M, Karniadakis GE, Suresh S. "Combined simulation and experimental study of large deformation of red blood cells in microfluidic systems." Annals of Biomedical Engineering, vol. 39, no. 3, 2011, pp. 1041-50. |
| Insley, Joseph A., Grinberg, Leopold, Papka, Michael E., Karniadakis, George. "Electronic poster." Proceedings of the 2011 companion on High Performance Computing Networking, Storage and Analysis Companion - SC '11 Companion, 2011. |
| Bourguet, Rémi, Karniadakis, George E., Triantafyllou, Michael S. "Lock-in of the vortex-induced vibrations of a long tensioned beam in shear flow." Journal of Fluids and Structures, vol. 27, no. 5-6, 2011, pp. 838-847. |
| Arienti M, Pan W, Li X, Karniadakis G. "Many-body dissipative particle dynamics simulation of liquid/vapor and liquid/solid interactions." The Journal of Chemical Physics, vol. 134, no. 20, 2011, pp. 204114. |
| Fedosov, Dmitry A., Lei, Huan, Caswell, Bruce, Suresh, Subra, Karniadakis, George E. "Multiscale Modeling of Red Blood Cell Mechanics and Blood Flow in Malaria." PLOS Computational Biology, vol. 7, no. 12, 2011, pp. e1002270. |
| Pan W, Fedosov DA, Caswell B, Karniadakis GE. "Predicting dynamics and rheology of blood flow: A comparative study of multiscale and low-dimensional models of red blood cells." Microvascular Research, vol. 82, no. 2, 2011, pp. 163-70. |
| Fedosov DA, Pan W, Caswell B, Gompper G, Karniadakis GE. "Predicting human blood viscosity in silico." Proceedings of the National Academy of Sciences, vol. 108, no. 29, 2011, pp. 11772-7. |
| Baek, Hyoungsu, Karniadakis, George Em. "Sub-iteration leads to accuracy and stability enhancements of semi-implicit schemes for the Navier–Stokes equations." Journal of Computational Physics, vol. 230, no. 12, 2011, pp. 4384-4402. |
| Lei, Huan, Fedosov, Dmitry A., Karniadakis, George Em. "Time-dependent and outflow boundary conditions for Dissipative Particle Dynamics." Journal of Computational Physics, vol. 230, no. 10, 2011, pp. 3765-3779. |
| BOURGUET, REMI, KARNIADAKIS, GEORGE E., TRIANTAFYLLOU, MICHAEL S. "Vortex-induced vibrations of a long flexible cylinder in shear flow." J. Fluid Mech., vol. 677, 2011, pp. 342-382. |
| Bourguet R, Modarres-Sadeghi Y, Karniadakis GE, Triantafyllou MS. "Wake-body resonance of long flexible structures is dominated by counterclockwise orbits." Phys. Rev. Lett., vol. 107, no. 13, 2011, pp. 134502. |
| Fedosov DA, Caswell B, Karniadakis GE. "Wall shear stress-based model for adhesive dynamics of red blood cells in malaria." Biophysical Journal, vol. 100, no. 9, 2011, pp. 2084-93. |
| Pan W, Caswell B, Karniadakis GE. "A low-dimensional model for the red blood cell." Soft Matter, vol. 6, no. 18, 2010, pp. 4366. |
| Grinberg, L., Karniadakis, G.E. "A new domain decomposition method with overlapping patches for ultrascale simulations: Application to biological flows." Journal of Computational Physics, vol. 229, no. 15, 2010, pp. 5541-5563. |
| Fedosov DA, Caswell B, Popel AS, Karniadakis GE. "Blood flow and cell-free layer in microvessels." Microcirculation (New York, N.Y. : 1994), vol. 17, no. 8, 2010, pp. 615-28. |
| Lei, Huan, Caswell, Bruce, Karniadakis, George Em. "Direct construction of mesoscopic models from microscopic simulations." Physical Review E, vol. 81, no. 2, 2010. |
| Gerritsma, Marc, van der Steen, Jan-Bart, Vos, Peter, Karniadakis, George. "Dynamics of Self-Assembled Chaining in Magnetorheological Fluids." Langmuir, vol. 20, no. 22, 2010, pp. 8333-8363. |
| Yang, Xiu, Venturi, Daniele, Chen, Changsheng, Chryssostomidis, Chryssostomos, Karniadakis, George Em. "EOF-based constrained sensor placement and field reconstruction from noisy ocean measurements: Application to Nantucket Sound." J. Geophys. Res., vol. 115, no. C12, 2010. |
| Grinberg, Leopold, Karniadakis, George Em. "Extrapolation-Based Acceleration of Iterative Solvers: Application to Simulation of 3D Flows." Communications in Computational Physics, 2010. |
| Baek, H., Jayaraman, M. V., Richardson, P. D., Karniadakis, G. E. "Flow instability and wall shear stress variation in intracranial aneurysms." Journal of The Royal Society Interface, vol. 7, no. 47, 2010, pp. 967-988. |
| Luo, Xian, Beskok, Ali, Karniadakis, George Em. "Modeling electrokinetic flows by the smoothed profile method." Journal of Computational Physics, vol. 229, no. 10, 2010, pp. 3828-3847. |
| Anor T, Grinberg L, Baek H, Madsen JR, Jayaraman MV, Karniadakis GE. "Modeling of blood flow in arterial trees." Wiley interdisciplinary reviews. Systems biology and medicine, vol. 2, no. 5, 2010, pp. 612-23. |
| Foo, Jasmine, Karniadakis, George Em. "Multi-element probabilistic collocation method in high dimensions." Journal of Computational Physics, vol. 229, no. 5, 2010, pp. 1536-1557. |
| Fedosov, Dmitry A., Caswell, Bruce, Karniadakis, George Em. "Multiscale Modeling of Blood Flow in Cerebral Malaria." ASME 2010 First Global Congress on NanoEngineering for Medicine and Biology, 2010. |
| Lei, Huan, Caswell, Bruce, Karniadakis, George Em. "Publisher's Note: Direct construction of mesoscopic models from microscopic simulations [Phys. Rev. E 81 , 026704 (2010)]." Physical Review E, vol. 81, no. 2, 2010. |
| VENTURI, DANIELE, WAN, XIAOLIANG, KARNIADAKIS, GEORGE EM. "Stochastic bifurcation analysis of Rayleigh–Bénard convection." J. Fluid Mech., vol. 650, 2010, pp. 391. |
| Fedosov, Dmitry A., Caswell, Bruce, Karniadakis, George Em. "Systematic coarse-graining of spectrin-level red blood cell models." Computer Methods in Applied Mechanics and Engineering, vol. 199, no. 29-32, 2010, pp. 1937-1948. |
| Prempraneerach, P., Hover, F.S., Triantafyllou, M.S., Karniadakis, G.E. "Uncertainty quantification in simulations of power systems: Multi-element polynomial chaos methods." Reliability Engineering & System Safety, vol. 95, no. 6, 2010, pp. 632-646. |
| Baek, Hyoungsu, Jayaraman, Mahesh V., Richardson, Peter D., Karniadakis, George Em. "Wall Shear Stress Fluctuations due to Flow Instability in Intracranial Aneurysms." ASME 2010 Summer Bioengineering Conference, Parts A and B, 2010. |
| Fedosov DA, Caswell B, Karniadakis GE. "Coarse-grained red blood cell model with accurate mechanical properties, rheology and dynamics." 2007 29th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, vol. 2009, 2009, pp. 4266-9. |
| Grinberg, Leopold, Yakhot, Alexander, Karniadakis, George Em. "Direct numerical simulation of transient turbulence in a stenosed carotid artery." Proceedings of the Sixth International Symposium On Turbulence, Heat and Mass Transfer, 2009. |
| Pivkin I, Richardson P, Karniadakis G. "Effect of red blood cells on platelet aggregation." IEEE Eng. Med. Biol. Mag., vol. 28, no. 2, 2009, pp. 32-7. |
| Yildirim, B., Chryssostomidis, C., Karniadakis, G.E. "Efficient sensor placement for ocean measurements using low-dimensional concepts." Ocean Modelling, vol. 27, no. 3-4, 2009, pp. 160-173. |
| Liu, D., Keaveny, E.E., Maxey, M.R., Karniadakis, G.E. "Force-coupling method for flows with ellipsoidal particles." Journal of Computational Physics, vol. 228, no. 10, 2009, pp. 3559-3581. |
| Grinberg L, Anor T, Madsen JR, Yakhot A, Karniadakis GE. "Large-scale simulation of the human arterial tree." Clinical and experimental pharmacology & physiology, vol. 36, no. 2, 2009, pp. 194-205. |
| Anor, Tomer, Grienberg, Leopold, Madsen, Joseph R, Karniadakis, George E. "Large-scale simulation of the human cranial arterial tree: utility in hydrocephalus." Cerebrospinal Fluid Research, vol. 6, no. Suppl 1, 2009, pp. S48. |
| Foo J, Sindi S, Karniadakis GE. "Multi-element probabilistic collocation for sensitivity analysis in cellular signalling networks." IET systems biology, vol. 3, no. 4, 2009, pp. 239-254. |
| Grinberg, L., Pekurovsky, D., Sherwin, S.J., Karniadakis, G.E. "Parallel performance of the coarse space linear vertex solver and low energy basis preconditioner for spectral/hp elements." Parallel Computing, vol. 35, no. 5, 2009, pp. 284-304. |
| Lin, G., Karniadakis, G. E. "Sensitivity analysis and stochastic simulations of non-equilibrium plasma flow." International Journal for Numerical Methods in Engineering, vol. 80, no. 6â7, 2009, pp. 738-766. |
| Li, Xuejin, Pivkin, Igor V., Liang, Haojun, Karniadakis, George Em. "Shape Transformations of Membrane Vesicles from Amphiphilic Triblock Copolymers: A Dissipative Particle Dynamics Simulation Study." Macromolecules, vol. 42, no. 8, 2009, pp. 3195-3200. |
| Grinberg L, Anor T, Cheever E, Madsen JR, Karniadakis GE. "Simulation of the human intracranial arterial tree." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 367, no. 1896, 2009, pp. 2371-86. |
| Luo, Xian, Maxey, Martin R., Karniadakis, George Em. "Smoothed profile method for particulate flows: Error analysis and simulations." Journal of Computational Physics, vol. 228, no. 5, 2009, pp. 1750-1769. |
| Wan, Xiaoliang, Karniadakis, George Em. "Solving elliptic problems with non-Gaussian spatially-dependent random coefficients." Computer Methods in Applied Mechanics and Engineering, vol. 198, no. 21-26, 2009, pp. 1985-1995. |
| Baek, H., Karniadakis, G.E. "Suppressing vortex-induced vibrations via passive means." Journal of Fluids and Structures, vol. 25, no. 5, 2009, pp. 848-866. |
| Baek, H., Karniadakis, G. E., Jayaraman, M. V. "Temporal variation of wall shear stress on the aneurysms in the supraclinoid internal carotid artery." 2009 IEEE 35th Annual Northeast Bioengineering Conference, 2009. |
| Fedosov, Dmitry A., Karniadakis, George Em. "Triple-decker: Interfacing atomistic–mesoscopic–continuum flow regimes." Journal of Computational Physics, vol. 228, no. 4, 2009, pp. 1157-1171. |
| Pivkin, Igor V., Karniadakis, George Em. "Accurate Coarse-Grained Modeling of Red Blood Cells." Phys. Rev. Lett., vol. 101, no. 11, 2008. |
| Fedosov, Dmitry A., Em Karniadakis, George, Caswell, Bruce. "Dissipative particle dynamics simulation of depletion layer and polymer migration in micro- and nanochannels for dilute polymer solutions." The Journal of Chemical Physics, vol. 128, no. 14, 2008, pp. 144903. |
| Dong, S., Triantafyllou, G. S., Karniadakis, G. E. "Elimination of Vortex Streets in Bluff-Body Flows." Phys. Rev. Lett., vol. 100, no. 20, 2008. |
| Pan, Wenxiao, Fedosov, Dmitry A., Karniadakis, George Em, Caswell, Bruce. "Hydrodynamic interactions for single dissipative-particle-dynamics particles and their clusters and filaments." Physical Review E, vol. 78, no. 4, 2008. |
| Papaioannou, G.V., Yue, D.K.P., Triantafyllou, M.S., Karniadakis, G.E. "On the effect of spacing on the vortex-induced vibrations of two tandem cylinders." Journal of Fluids and Structures, vol. 24, no. 6, 2008, pp. 833-854. |
| Prempraneerach, P., Hover, F.S., Triantafyllou, M.S., Chryssostomidis, C., Karniadakis, G.E. "Sensitivity analysis and low-dimensional stochastic modeling of shipboard Integrated Power Systems." 2008 IEEE Power Electronics Specialists Conference, 2008. |
| PREMPRANEERACH, PRADYA, HOVER, FRANZ S., TRIANTAFYLLOU, MICHAEL S., MCCOY, TIMOTHY J., CHRYSSOSTOMIDIS, CHRYSSOSTOMOS, KARNIADAKIS, GEORGE E. "Sensitivity Analysis of the Shipboard Integrated Power System." Naval Engineers J, vol. 120, no. 1, 2008, pp. 109-121. |
| Pan, W., Pivkin, I. V., Karniadakis, G. E. "Single-particle hydrodynamics in DPD: A new formulation." EPL (Europhysics Letters), vol. 84, no. 1, 2008, pp. 10012. |
| Luo, Xian, Maxey, Martin R., Karniadakis, George E. "Smoothed Profile Method for Particulate Two-Phase Flow." Volume 1: Symposia, Parts A and B, 2008. |
| VENTURI, DANIELE, WAN, XIAOLIANG, KARNIADAKIS, GEORGE EM. "Stochastic low-dimensional modelling of a random laminar wake past a circular cylinder." J. Fluid Mech., vol. 606, 2008. |
| Prempraneerach, P., Kirtley, J., Chryssostomidis, C., Triantafyllou, M.S., Karniadakis, G.E. "Stochastic modeling of integrated power system coupled to hydrodynamics in the all-electric ship." 2008 International Symposium on Power Electronics, Electrical Drives, Automation and Motion, 2008. |
| Lin, G., Su, C.-H., Karniadakis, G.E. "Stochastic modeling of random roughness in shock scattering problems: Theory and simulations." Computer Methods in Applied Mechanics and Engineering, vol. 197, no. 43-44, 2008, pp. 3420-3434. |
| Lin, Guang, Karniadakis, George. "Stochastic Simulations and Sensitivity Analysis of Plasma Flow." 46th AIAA Aerospace Sciences Meeting and Exhibit, 2008. |
| Foo, Jasmine, Wan, Xiaoliang, Karniadakis, George Em. "The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications." Journal of Computational Physics, vol. 227, no. 22, 2008, pp. 9572-9595. |
| Fedosov, Dmitry A., Pivkin, Igor V., Karniadakis, George Em. "Velocity limit in DPD simulations of wall-bounded flows." Journal of Computational Physics, vol. 227, no. 4, 2008, pp. 2540-2559. |
| Yakhot A, Anor T, Karniadakis GE. "A reconstruction method for gappy and noisy arterial flow data." IEEE transactions on medical imaging, vol. 26, no. 12, 2007, pp. 1681-97. |
| Baek, Hyoungsu, Jayaraman, Mahesh V., Karniadakis, George Em. "Distribution of WSS on the Internal Carotid Artery With an Aneurysm: A CFD Sensitivity Study." Volume 2: Biomedical and Biotechnology Engineering, 2007. |
| Climent, Eric, Yeo, Kyongmin, Maxey, Martin R., Karniadakis, George E. "Dynamic Self-Assembly of Spinning Particles." Journal of Fluids Engineering, vol. 129, no. 4, 2007, pp. 379. |
| Lin, Guang, Su, Chau-Hsing, Karniadakis, George. "Effects of Random Roughness and Scattering of Shock Waves." 45th AIAA Aerospace Sciences Meeting and Exhibit, 2007. |
| Grinberg, L., Karniadakis, G. E. "Hierarchical spectral basis and Galerkin formulation using barycentric quadrature grids in triangular elements." Journal of Engineering Mathematics, vol. 56, no. 3, 2007, pp. 289-306. |
| Boghosian, Bruce, Coveney, Peter, Dong, Suchuan, Finn, Lucas, Jha, Shantenu, Karniadakis, George, Karonis, Nicholas. "NEKTAR, SPICE and Vortonics: using federated grids for large scale scientific applications." Cluster Computing, vol. 10, no. 3, 2007, pp. 351-364. |
| Lin, Guang, Su, Chau-Hsing, Karniadakis, George Em. "Random Roughness Enhances Lift in Supersonic Flow." Phys. Rev. Lett., vol. 99, no. 10, 2007. |
| Dahl, J. M., Hover, F. S., Triantafyllou, M. S., Dong, S., Karniadakis, G. E. "Resonant Vibrations of Bluff Bodies Cause Multivortex Shedding and High Frequency Forces." Phys. Rev. Lett., vol. 99, no. 14, 2007. |
| Insley, Joseph A., Papka, Michael E., Dong, Suchuan, Karniadakis, George, Karonis, Nicholas T. "Runtime Visualization of the Human Arterial Tree." IEEE Transactions on Visualization and Computer Graphics, vol. 13, no. 4, 2007, pp. 810-821. |
| Lin, Guang, Wan, Xiaoliang, Su, Chau-hsing, Karniadakis, George. "Stochastic Computational Fluid Mechanics." Comput. Sci. Eng., vol. 9, no. 2, 2007, pp. 21-29. |
| Foo, Jasmine, Yosibash, Zohar, Karniadakis, George Em. "Stochastic simulation of riser-sections with uncertain measured pressure loads and/or uncertain material properties." Computer Methods in Applied Mechanics and Engineering, vol. 196, no. 41-44, 2007, pp. 4250-4271. |
| Kirby, Robert M., Yosibash, Zohar, Karniadakis, George Em. "Towards stable coupling methods for high-order discretization of fluid–structure interaction: Algorithms and observations." Journal of Computational Physics, vol. 223, no. 2, 2007, pp. 489-518. |
| XU, JIN, DONG, SUCHUAN, MAXEY, MARTIN R., KARNIADAKIS, GEORGE E. "Turbulent drag reduction by constant near-wall forcing." J. Fluid Mech., vol. 582, 2007, pp. 79. |
| DONG, S., KARNIADAKIS, G. E., EKMEKCI, A., ROCKWELL, D. "A combined direct numerical simulation–particle image velocimetry study of the turbulent near wake." J. Fluid Mech., vol. 569, 2006, pp. 185. |
| Lin, Guang, Karniadakis, George Em. "A discontinuous Galerkin method for two-temperature plasmas." Computer Methods in Applied Mechanics and Engineering, vol. 195, no. 25-28, 2006, pp. 3504-3527. |
| Symeonidis, Vasileios, Karniadakis, George Em. "A family of time-staggered schemes for integrating hybrid DPD models for polymers: Algorithms and applications." Journal of Computational Physics, vol. 218, no. 1, 2006, pp. 82-101. |
| Wan, Xiaoliang, Karniadakis, George Em. "A sharp error estimate for the fast Gauss transform." Journal of Computational Physics, vol. 219, no. 1, 2006, pp. 7-12. |
| Richardson, P. D., Pivkin, I. V., Karniadakis, G. E., Laidlaw, D. H. "Blood Flow at Arterial Branches: Complexities to Resolve for the Angioplasty Suite." Automata, Languages and Programming, 2006, pp. 538-545. |
| Pivkin IV, Karniadakis GE. "Controlling density fluctuations in wall-bounded dissipative particle dynamics systems." Phys. Rev. Lett., vol. 96, no. 20, 2006, pp. 206001. |
| Papaioannou GV, Yue DK, Triantafyllou MS, Karniadakis GE. "Evidence of holes in the Arnold tongues of flow past two oscillating cylinders." Phys. Rev. Lett., vol. 96, no. 1, 2006, pp. 014501. |
| Gunes, Hasan, Sirisup, Sirod, Karniadakis, George Em. "Gappy data: To Krig or not to Krig?." Journal of Computational Physics, vol. 212, no. 1, 2006, pp. 358-382. |
| Dong, S., Karonis, N.T., Karniadakis, G.E. "Grid solutions for biological and physical cross-site simulations on the TeraGrid." Proceedings 20th IEEE International Parallel & Distributed Processing Symposium, 2006. |
| Wan, Xiaoliang, Karniadakis, George Em. "Long-term behavior of polynomial chaos in stochastic flow simulations." Computer Methods in Applied Mechanics and Engineering, vol. 195, no. 41-43, 2006, pp. 5582-5596. |
| Lin, Guang, Su, Chau-Hsing, Karniadakis, George. "Modeling Random Roughness in Supersonic Flow Past a Wedge." 44th AIAA Aerospace Sciences Meeting and Exhibit, 2006. |
| Wan, Xiaoliang, Karniadakis, George Em. "Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures." SIAM J. Sci. Comput., vol. 28, no. 3, 2006, pp. 901-928. |
| Boghosian, B., Coveney, P., Suchuan Dong, None, Finn, L., Jha, S., Karniadakis, G., Karonis, N. "NEKTAR, SPICE and Vortonics: Using Federated Grids for Large Scale Scientific Applications." 2006 IEEE Challenges of Large Applications in Distributed Environments, 2006. |
| Lin, Guang, Grinberg, Leopold, Karniadakis, George Em. "Numerical studies of the stochastic Korteweg-de Vries equation." Journal of Computational Physics, vol. 213, no. 2, 2006, pp. 676-703. |
| Lin, G., Su, C.-H., Karniadakis, G.E. "Predicting shock dynamics in the presence of uncertainties." Journal of Computational Physics, vol. 217, no. 1, 2006, pp. 260-276. |
| Anor, T., Sosna, J., Yakhot, A., Karniadakis, G., Libson, E. "Reconstruction of a 4D heart from CT images." Journal of Biomechanics, vol. 39, 2006, pp. S406. |
| Symeonidis V, Karniadakis GE, Caswell B. "Schmidt number effects in dissipative particle dynamics simulation of polymers." The Journal of Chemical Physics, vol. 125, no. 18, 2006, pp. 184902. |
| Dong, Suchuan, Insley, Joseph, Karonis, Nicholas T., Papka, Michael E., Binns, Justin, Karniadakis, George. "Simulating and visualizing the human arterial system on the TeraGrid." Future Generation Computer Systems, vol. 22, no. 8, 2006, pp. 1011-1017. |
| Karniadakis, George Em, Hesthaven, Jan S. "Spectral interpolation in non-orthogonal domains: algorithms and applications." Journal of Engineering Mathematics, vol. 56, no. 3, 2006, pp. 201-202. |
| WAN, X., KARNIADAKIS, G. E. "Stochastic heat transfer enhancement in a grooved channel." J. Fluid Mech., vol. 565, 2006, pp. 255. |
| PAPAIOANNOU, GEORGIOS V., YUE, DICK K. P., TRIANTAFYLLOU, MICHAEL S., KARNIADAKIS, GEORGE E. "Three-dimensionality effects in flow around two tandem cylinders." J. Fluid Mech., vol. 558, 2006, pp. 387. |
| Karniadakis, George Em, Glimm, James. "Uncertainty quantification in simulation science." Journal of Computational Physics, vol. 217, no. 1, 2006, pp. 1-4. |
| Keaveny, Eric E., Pivkin, Igor V., Maxey, Martin, Em Karniadakis, George. "A comparative study between dissipative particle dynamics and molecular dynamics for simple- and complex-geometry flows." The Journal of Chemical Physics, vol. 123, no. 10, 2005, pp. 104107. |
| Pivkin, Igor V., Karniadakis, George Em. "A new method to impose no-slip boundary conditions in dissipative particle dynamics." Journal of Computational Physics, vol. 207, no. 1, 2005, pp. 114-128. |
| Symeonidis, V., Karniadakis, G.E., Caswell, B. "A Seamless Approach to Multiscale Complex Fluid Simulation." Comput. Sci. Eng., vol. 7, no. 3, 2005, pp. 39-46. |
| Wan, Xiaoliang, Karniadakis, George Em. "An adaptive multi-element generalized polynomial chaos method for stochastic differential equations." Journal of Computational Physics, vol. 209, no. 2, 2005, pp. 617-642. |
| Wan, Xiaoliang, Karniadakis, George Em. "Beyond Wiener–Askey Expansions: Handling Arbitrary PDFs." J Sci Comput, vol. 27, no. 1-3, 2005, pp. 455-464. |
| Suchuan Dong, None, Karniadakis, G.E., Karonis, N.T. "Cross-Site Computations on the TeraGrid." Comput. Sci. Eng., vol. 7, no. 5, 2005, pp. 14-23. |
| Symeonidis, Vasileios, Em Karniadakis, George, Caswell, Bruce. "Dissipative Particle Dynamics Simulations of Polymer Chains: Scaling Laws and Shearing Response Compared to DNA Experiments." Phys. Rev. Lett., vol. 95, no. 7, 2005. |
| Dong, S., Karniadakis, G.E. "DNS of flow past a stationary and oscillating cylinder at." Journal of Fluids and Structures, vol. 20, no. 4, 2005, pp. 519-531. |
| Sirisup, Sirod, Karniadakis, George Em, Xiu, Dongbin, Kevrekidis, Ioannis G. "Equation-free/Galerkin-free POD-assisted computation of incompressible flows." Journal of Computational Physics, vol. 207, no. 2, 2005, pp. 568-587. |
| Kirby, Robert M., Karniadakis, George Em. "Selecting the Numerical Flux in Discontinuous Galerkin Methods for Diffusion Problems." J Sci Comput, vol. 22-23, no. 1-3, 2005, pp. 385-411. |
| Pivkin, I. V., Hueso, E., Weinstein, R., Laidlaw, D. H., Swartz, S., Karniadakis, G. E. "Simulation and Visualization of Air Flow Around Bat Wings During Flight." Lecture Notes in Computer Science, 2005, pp. 689-694. |
| Wan, Xiaoliang, Karniadakis, George Em. "Simulation of Heat Transfer With Uncertainty." Heat Transfer: Volume 4, 2005. |
| Maxey, M.R., Dong, S., Xu, J., Karniadakis, G.E. "Simulations for Microbubble Drag Reduction (MBDR) at High Reynolds Numbers." 2005 Users Group Conference (DOD-UGC'05), 2005. |
| Liu, D, Maxey, M R, Karniadakis, G E. "Simulations of dynamic self-assembly of paramagnetic microspheres in confined microgeometries." J. Micromech. Microeng., vol. 15, no. 12, 2005, pp. 2298-2308. |
| Dong, Suchuan, Xu, Jin, Maxey, Martin, Karniadakis, George. "Slippery Issues in Microbubble Drag Reduction." 43rd AIAA Aerospace Sciences Meeting and Exhibit, 2005. |
| Sirisup, S., Karniadakis, G.E. "Stability and accuracy of periodic flow solutions obtained by a POD-penalty method." Physica D: Nonlinear Phenomena, vol. 202, no. 3-4, 2005, pp. 218-237. |
| Lin, Guang, Su, Chau-Hsing, Karniadakis, George. "Stochastic Solvers for the Euler Equations." 43rd AIAA Aerospace Sciences Meeting and Exhibit, 2005. |
| Xiu, D., Sherwin, S. J., Dong, S., Karniadakis, G. E. "Strong and Auxiliary Forms of the Semi-Lagrangian Method for Incompressible Flows." J Sci Comput, vol. 25, no. 1, 2005, pp. 323-346. |
| Xiu, D., Sherwin, S. J., Dong, S., Karniadakis, G. E. "Strong and auxiliary forms of the semi-Lagrangian method for incompressible flows." J Sci Comput, vol. 25, no. 1-2, 2005, pp. 323-346. |
| Lucor, D., Foo, J., Karniadakis, G.E. "Vortex mode selection of a rigid cylinder subject to VIV at low mass-damping." Journal of Fluids and Structures, vol. 20, no. 4, 2005, pp. 483-503. |
| Sirisup, S., Karniadakis, G.E. "A spectral viscosity method for correcting the long-term behavior of POD models." Journal of Computational Physics, vol. 194, no. 1, 2004, pp. 92-116. |
| Sirisup, S., Karniadakis, G.E., Saelim, N., Rockwell, D. "DNS and experiments of flow past a wired cylinder at low Reynolds number." European Journal of Mechanics - B/Fluids, vol. 23, no. 1, 2004, pp. 181-188. |
| Dong, Suchuan, Karniadakis, George Em. "Dual-level parallelism for high-order CFD methods." Parallel Computing, vol. 30, no. 1, 2004, pp. 1-20. |
| Liu, Dong, Maxey, Martin, Karniadakis, George. "Dynamic Self-Assembly in Confined Micro-Domains." Fluids Engineering, 2004. |
| Sobel, J.S., Forsberg, A.S., Laidlaw, D.H., Zeleznik, R.C., Keefe, D.F., Pivkin, I., Karniadakis, G.E., Richardson, P., Swartz, S. "Feature article - Particle flurries synoptic 3d pulsatile flow visualization." IEEE Comput. Grap. Appl., vol. 24, no. 2, 2004, pp. 76-85. |
| Dong, S., Lucor, D., Karniadakis, G.E. "Flow past a stationary and moving cylinder: DNS at Re=10,000." 2004 Users Group Conference (DOD_UGC'04), 2004. |
| Lucor, D., Su, C.-H., Karniadakis, G. E. "Generalized polynomial chaos and random oscillators." International Journal for Numerical Methods in Engineering, vol. 60, no. 3, 2004, pp. 571-596. |
| Lucor, Didier, Su, Chau-Hsing, Karniadakis, George Em. "Karhunen-Loeve Representation of Periodic Second-Order Autoregressive Processes." Automata, Languages and Programming, 2004, pp. 827-834. |
| Liu, D, Maxey, M, Karniadakis, G E. "Modeling and optimization of colloidal micro-pumps." J. Micromech. Microeng., vol. 14, no. 4, 2004, pp. 567-575. |
| Dong, Suchuan, Karniadakis, George. "Multilevel Parallelization Models for High-Order CFD." 42nd AIAA Aerospace Sciences Meeting and Exhibit, 2004. |
| Dong, Suchuan, Karniadakis, George Em. "Multilevel Parallelization Models in CFD." Journal of Aerospace Computing, Information, and Communication, vol. 1, no. 6, 2004, pp. 256-268. |
| Lucor, Didier, Karniadakis, George Em. "Noisy Inflows Cause a Shedding-Mode Switching in Flow Past an Oscillating Cylinder." Phys. Rev. Lett., vol. 92, no. 15, 2004. |
| Lucor, Didier, Karniadakis, George Em. "Predictability and uncertainty in flow–structure interactions." European Journal of Mechanics - B/Fluids, vol. 23, no. 1, 2004, pp. 41-49. |
| Weinstein, R., Hueso, E., Pivkin, I., Swartz, S., Laidlaw, D. H., Karniadakis, G., Breuer, K. "Simulation and visualization of flow around bat wings during flight." ACM SIGGRAPH 2004 Posters on - SIGGRAPH '04, 2004. |
| Dong, Suchuan, Liu, Dong, Maxey, Martin R, Karniadakis, George Em. "Spectral distributed Lagrange multiplier method: algorithm and benchmark tests." Journal of Computational Physics, vol. 195, no. 2, 2004, pp. 695-717. |
| Wan, Xiaoliang, Xiu, Dongbin, Karniadakis, George Em. "Stochastic Solutions for the Two-Dimensional Advection-Diffusion Equation." SIAM J. Sci. Comput., vol. 26, no. 2, 2004, pp. 578-590. |
| Xiu, Dongbin, Karniadakis, George Em. "Supersensitivity due to uncertain boundary conditions." International Journal for Numerical Methods in Engineering, vol. 61, no. 12, 2004, pp. 2114-2138. |
| Pivkin, Igor, Yang, Nicholas, Richardson, Peter, Karniadakis, George, Laidlaw, David. "Visualization of blood platelets in a virtual environment." ACM SIGGRAPH 2004 Posters on - SIGGRAPH '04, 2004. |
| Hueso, E., Pivkin, I., Swartz, S., Laidlaw, D.H., Karniadakis, G., Breuer, K. "Visualization of Vortices in Simulated Airflow around Bat Wings During Flight." IEEE Visualization 2004, 2004. |
| Sirisup, S., Karniadakis, G. E., Yang, Y., Rockwell, D. "Wave-structure interaction: simulation driven by quantitative imaging." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 460, no. 2043, 2004, pp. 729-755. |
| VENTURI, DANIELE, KARNIADAKIS, GEORGE EM. "Gappy data and reconstruction procedures for flow past a cylinder." J. Fluid Mech., vol. 519, 1999, pp. 315-336. |
PUBLICATION LIST, GEORGE KARNIADAKIS
(* indicates a PhD student supervised by George Karniadakis)
A. Books/Chapters in Books/General
1. G.E. Karniadakis, A. Beskok* and N. Aluru, “Microflows and Nanoflows: Fundamentals and Simulation, Springer 2005.
2. G.E. Karniadakis and R.M. Kirby*, “Parallel Scientific Computing in C++ and MPI”, Cambridge University Press, March 2003.
3. G.E. Karniadakis and A. Beskok*, “Microflows: Fundamentals and Simulation”, Springer, 2001. (first textbook/monograph in this field).
4. G.E. Karniadakis & S.J. Sherwin*, “Spectral/hp Element Methods for CFD,” Oxford University Press, New York, 1999. (first monograph in this field); second edition, Oxford, 2005; third edition, 2013.
5. L. Grinberg*, M. Deng, A. Yakhot and G.E. Karniadakis, “Window Proper Orthogonal Decomposition: Application to Continuum and Atomistic Data”, Reduced Order Methods for Modeling and Computational Reduction, Springer, vol. 9, eds. A. Quarteroni and G. Rozza, p. 275, 2014.
6. D.A. Fedosov*, I.V. Pivkin, W. Pan*, M. Dao, B. Caswell and G.E., Karniadakis, “Multiscale modeling of hematologic disorders”, in Modeling of Physiological Flows edited by D. Ambrosi, A. Quarteroni and G. Rozza, Springer, Milan, Italy, 2011.
7. I.V. Pivkin*, B. Caswell and G.E. Karniadakis, “Dissipative Particle Dynamics”, Chapter 2 in Reviews in Computational Chemistry, Vol. 27, edited by Kenny B. Lipkowitz, John Wiley & Sons, Inc., 2011.
8. D.A. Fedosov*, B. Caswell and G.E., Karniadakis, “Dissipative particle dynamics modeling of red blood cells”, in Computational Hydrodynamics of Capsules and Biological Cells, edited by C. Pozrikidis, CRC Press, Boca Raton, FL, 2010.
9. N. Aluru and G.E. Karniadakis, “Numerical simulation of microflows and nanoflows”, Chapter 3 in Micro/Nano Technology Systems for Biomedical Applications, edited by C.-M. Ho, Oxford University Press, 2010.
10. X. Wan and G.E. Karniadakis, “Adaptive numerical solutions of stochastic differential equations”, Computer Mathematics & its Applications (1994-2005), pp. 561-573, 2006.
11. “Spectral Interpolation in Non-Orthogonal Domains: Algorithms and Applications”, special issue of Journal of Engineering Mathematics, guest editor (co-editor: Jan Hesthaven).
12. “Uncertainty Quantification in Simulation Science”, special issue of Journal of Computational Physics, vol. 217, no. 1, 2006, guest editor (co-editor: James Glimm).
13. V. Symeonidis*, G.E. Karniadakis and B. Caswell, “Simulation of _-phage DNA in microchannels using dissipative particle dynamics, Bulletin of the Polsih Academy of Sciences, vol. 53 (4), pp. 395-403, 2005.
14. D. Xiu* and G.E. Karniadakis, “Generalized polynomial chaos: Performance evaluation and applications”, chapter in Dynamic Data Driven Applications Simulations (DDDAS), editor F. Darema, Kluwer, 2004.
15. R.M. Kirby* and G.E. Karniadakis, “Spectral Element and hp Methods”, Encyclopedia of Computational Mechanics, John Wiley & Sons Ltd, 2004.
16. G.E. Karniadakis and K.-S. Choi, “Mechanisms on transverse motions in turbulent wall flows”, Annual Review of Fluid Mechanics, vol. 35, 45-62, 2003.
17. G.E. Karniadakis, “Quantifying Uncertainty in CFD”, Managing Editor of special issue of J. Fluids Engineering, March 2002.
18. R.M. Kirby* and G.E. Karniadakis, “Under-Resolution and Diagnostics in Turbulent Simulations of Complex-Geometry Flows”, Turbulent Flow Computations, Kluwer, 2002.
19. R.M. Kirby*, G.E. Karniadakis, O. Mikulchenko and K. Mayaram, “Integrated Simulation for MEMS: Coupling Flow-Structure-Thermal-Electrical Domains”, Chapter 5, The MEMS Handbook, CRC Press.
20. “Spectral, Spectral Element and hp Methods for CFD”, guest editor of C.M.A.M.E., (co-editors: M. Ainsworth and C. Bernardi), vol. 175.
21. “Discontinuous Galerkin Methods: Theory Computation and Applications”, (editors: B. Cockburn, G.E. Karniadakis and C.-W. Shu), Springer-Verlag, February 2000.
22. G.E. Karniadakis and R.D. Henderson*, “Spectral Element Methods for Incompressible Flows”, chapter 29 in Handbook of Fluid Dynamics, edited by R.W. Johnson, CRC Press, 1998.
23. G.E. Karniadakis, “Towards a numerical error bar in CFD,” Editorial Article, J. Fluids Engineering, March 1995. 24. G.E. Karniadakis & S.A. Orszag, “Nodes, Modes, and Flow Codes,” Physics Today, p. 34-42, March 1993.
25. G.E. Karniadakis & S.A. Orszag, “Some novel aspects of spectral methods,” Algorithmic Trends in Computational Fluid Dynamics,” eds. M.Y. Hussaini, A. Kumar, M.D. Salas, p. 245, Springer-Verlag, 1993.
26. G.E. Karniadakis, S.A. Orszag, E.M. Ronquist and A.T. Patera, “Spectral element and lattice gas methods for incom-
pressible fluid dynamics,” chapter 8 in Incompressible Fluid Dynamics, eds. M.D. Gunzburger and R.A. Nicolaides, Cambridge University Press, 1993.
27. R.D. Henderson* & G.E. Karniadakis, “A hybrid spectral element-finite difference method for parallel computers,” p. 221, Unstructured Scientific Computation on Scalable Multi- Processors, ed. P. Mehrotra, J. Saltz, and R. Voigt, M.I.T. Press, 1992.
28. G.E. Karniadakis & S.A. Orszag, “Parallel spectral computations of complex engineering flows,” chapter 9 in Supercomputing in Engineering Analysis, New Generation Computing, ed. H. Adeli, 1990.
B. Articles in Refereed Journals
Fractional and Stochastic PDEs/Uncertainty Quantification
1. Zheng M.* and G.E. Karniadakis. “Numerical methods for SPDEs with tempered stable processes”, SIAM J. Sci. Comp., accepted, 2015.
2. Zheng M.*, X. Wan*, and GE Karniadakis. “Aaptive-multi-element polynomial chaos with discrete measure: Algorithms and application to SPDEs”, Applied Numerical Mathematics, 90, 91-110, 2015.
3. Choi M.*, T. Sapsis, and G.E. Karniadakis, “On the equivalence of dynamically orthogonal and dynamically biorthogonal methods: Theory and numerical simulations”, Journal of Computational Physics, 270, 1-20, 2014.
4. M. Zayernouri, W. Cao, Z. Zhang, G. E. Karniadakis, “Spectral and Discontinuous Spectral Element Methods for Fractional Delay Equations”, SIAM J. Sci. Comput., 36 (6), B904B929, 2014.
5. Z. Zhang*, M.V. Tretyakov, B. Rozovskii and G.E. Karniadakis, “A recursive sparse grid collocation method for differential equations with white noise”, SIAM J. Sci. Comput. 36(4), A1652-A1677, 2014.
6. M. Zayernouri* and G.E. Karniadais, “Discontinuous spectral element methods for time-and space-fractional advection equations”, SIAM J. Sci. Comput. 36(4), B684-B707, 2014.
7. D. Venturi and G.E. Karniadakis, “Convolutionless Nakajima-Zwanzig equations for stochastic analysis in nonlinear dynamical systems”, Proc. R. Soc. A, 470, 20130754, 2014.
8. D. Venturi, X. Wan, R. Mikulevicius, B. Rozovskii and G.E. Karniadakis, “Wick-Malliavin approximation to nonlinear stochastic PDEs: Analysis and Simulation”, Proc. R. Soc. A, 34:157-167, 2014.
9. M. Zayernouri* and G.E. Karniadakis, “Fractional spectral collocation methods”, SIAM J. Sci. Comput. 36(1):A40-A62, 2014.
10. M. Zayernouri* and G.E. Karniadakis, “Exponentially accurate spectral and spectral element methods for fractional ODEs”, J. Comput. Phys., 247:460-480, 214.
11. M. Choi*, T. Sapsis and G.E. Karnidakis, “A convergence study for SPDEs using combined polynomial chaos and dynamically-orthogonal schemes,” J. Comp. Phys. 245, 281-301, 2013.
12. M. Zayernouri* and G.E. Karniadakis, “Fractional Sturm-Liouville eigen-problems: Theory and numerical approximation”, J. Comp. Phys., 252, 495-517, 2013.
13. H. Cho, D. Venturi and G.E. Karniadakis, “Karhunen-Loeve expansion for multi-correlated processes”, Probabilistic Engineering Mechanics, 34:157-167, 2013.
14. H. Cho, D. Venturi and G.E. Karniadakis, “Adaptive discontinuous Galerkin method for response-excitation PDF equations”, SIAM J. Sci. Comput., vol. 35(4), pp. B890-B911, 2013.
15. M. Zayernouri, S-W. Park, D.M. Tartakovsky and G.E. Karniadakis, “Stochastic smoothed profile method for modeling random roughness in flow problems”, Comput. Methods Appl. Mech. Engrg., vol. 263, pp. 99-112, 2013.
16. D. Venturi, D.M. Tartakovsky, A.M. Tartakovsky and G.E. Karniadakis, “Exact PDF equations and closure approximations for advective-reactive transport”, J. Comp. Phys., vol. 243, pp. 323-343, 2013.
17. X. Yang and G.E. Karniadakis, “Reweighted l1 minimization method for stochastic elliptic differential equations”, J.Comp. Phys., vol.i 248, pp. 87-108, 2013.
18. Z. Zhang, X. Yang, G. Lin and G.E. Karniadakis, “Numerical solution of the Stratonovich- and Ito-Euler equations: Application to the stochastic piston problem”, J. Comp. Phys., vol. 236, pp. 15-27, 2013.
19. Z. Zhang*, B. Rosvoskii, M.V. Tretyakov and G.E. Karniadakis, “A multi-stage Wiener chaos expansion method for stochastic advection-diffusion reaction equations”, SIAM J. Sci. Comput., 34(2), A914-A936, 2012.
20. D. Venturi and G.E. Karniadakis, “New evolution equations for the joint response-excitation probability density function of stochastic solutions to first-order nonlinear PDEs”, J. Comp. Phys., vol. 231, pp. 7450-7474, 2012.
21. D. Venturi, T. Sapsis, H. Cho and G.E. Karniadakis, “ A computable evolution equation for the joint response-excitation probability density function of stochastic dynamical systems”, Proc. Roy. Soc. A, vol. 468, pp. 759-783, 2012.
22. Z. Zhang*, M. Choi* and G.E. Karniadakis, “Error estimates for the ANOVA method with polynomial chaos interpolation: Tensor product functions”, SIAM J. Sci. Comp., vol. 34(2), pp. A1165-A1186, 2012.
23. D. Venturi, M. Choi* and G.E. Karniadakis, “Supercritical quasi-continuum states in stochastic Rayleigh-Bernard convection”, Int. J. Heat & Mass Transfer, vol. 55, pp. 3732-3743, 2012.
24. X. Yang*, M. Choi* and G. Lin and G.E. Karniadakis, “Adaptive ANOVA decomposition of stochastic incompressible and compressible flows”, J. Comp. Phys., vol. 231, pp. 1587-1614, 2012.
25. D. Venturi and G. E. Karniadakis, “Differential constraints for the probability density function of stochastic solutions to the wave equation”, International Journal for Uncertainty tainty Quantification, vol. 2(3), pp. 195-213, 2012.
26. M. Gerritsma, J-B. van der Steen, P. Vos and G.E. Karniadakis, “Time-dependent generalized polynomial chaos”, J. Comput. Phys., 229:8333-8363, 2010.
27. P. Prempraneerach, F. Hover, M. Triantafyllou, and G.E. Karniadakis, “Uncertainty quantification in simulations of power systems: Multi-element polynomial chaos methods”, Reliability Engineering and System Safety, vol. 95, pp. 632-646, 2010.
28. J. Foo* and G.E. Karniadakis, “Multi-element probabilistic collocation method in high dimensions”, J. Comp. Phys., vol. 229(5), pp. 1536-1557, 2010.
29. D. Venturi, X. Wan and G.E. Karniadakis, “Stochastic bifurcation analysis of Rayleigh-Benard convection”, J. Fluid Mech., vol. 650, pp. 391-413, 2010.
30. G. Lin* and G.E. Karniadakis, “Sensitivity analysis and stochastic simulations of non-equilibriun plasma flow”, Int. J. Num. Meth. Engng., vol. 80, pp. 738-766, 2009.
31. X. Wan*, B. Rozovskii and G.E. Karniadakis, “A stochastic modeling methodology based on weghted Wiener chaos and Malliavin calculus”, Proc. Nat. Acad. Sciences, vol. 106, no. 34, pp. 14189-14194, 2009.
32. G. Lin*, C.-H. Su and G.E. Karniadakis, “Stochastic modeling of random roughness in shock scattering problems: Theory and simulations”, Computer Methods in Applied Mechanics and Engineering, vol. 197, pp. 3420-3434, 2008.
33. X. Wan* and G.E. Karniadakis, “Error control in multi-element generalized polynomial chaos method for elliptic problems with random coefficients”, Communication in Computational Physics, vol. 5, pp. 793-820, 2009.
34. X. Wan* and G.E. Karniadakis, “Solving elliptic problems with non-Gaussian spatially-dependent random coefficients: algorithms, error analysis and applications”, Comput. Methods Appl. Mech. Engr., vol. 198, pp. 1985-1995, 2009.
35. J. Foo*, X. Wan* and G.E. Karniadakis, “The multi-element probabilistic collocation method: error analysis and simulation”, J. Comp. Phys., vol. 227, pp. 9572-9595, 2008.
36. D. Venturi, X. Wan and G.E. Karniadakis, “Stochastic low dimensional modeling of random laminar wake past a circular cylinder”, Journal of Fluid Mechanics, vol. 606, pp. 339-367, 2008.
37. G. Lin, X. Wan, C.-H. Su and G.E. Karniadakis, “Stochastic fluid mechanics”, IEEE Computing in Science and Engineering (CiSE), vol. 9, pp. 21-29, 2007.
38. G. Lin*, C.-H. Su and G.E. Karniadakis, “Random roughness enhances lift in supersonic flow”, Phys. Rev. Let., vol 99, (10), 104501, 2007.
39. J. Foo*, Z. Yosibash and G.E. Karniadakis, “Stochastic simulation of riser-sections with uncertain measured pressure loads and/or uncertain material properties”, Comput. Methods Appl. Mech. Engr., vol. 196, pp. 4250-4271, 2007.
40. G. Lin*, C.-H. Su and G.E. Karniadakis, “Predicting shock dynamics in the presence of uncertainties, J. Comp. Phys., vol. 217, pp. 260-276, 2006.
41. X. Wan* and G.E. Karniadakis, “Stochastic heat transfer enhancement in a grooved channel”, J. Fluid Mech., vol. 565, pp. 255-278, 2006.
42. X. Wan* and G.E. Karniadakis, “Beyond Wiener-Askey expansions: Handling arbitrary PDFs”, Journal of Scientific Computing, vol. 27, pp. 455-464, 2006.
43. X. Wan* and G.E. Karniadakis, “Multi-element generalized polynomial chaos for arbitrary probability measures”, SIAM Journal of Scientific Computing, vol. 28(3), pp. 901-928, 2006.
44. X. Wan* and G.E. Karniadakis, “Long-term behavior of polynomial chaos in stochastic flow simulations”, Comput. Methods Appl. Mech. Engrg., vol. 195, pp. 5528-5596, 2006.
45. H. Gunes, S. Sirisup* and G.E. Karniadakis, “Gappy data: To Krig or not to Krig?”, Journal of Computational Physics, vol. 212(1), pp. 358-382, 2006.
46. G. Lin*, L. Grinberg and G.E. Karniadakis, “Numerical studies of the stochastic Korteweg de Vries equation”, Journal of Computational Physics, vol. 213(2), pp. 676-703, 2006.
47. X. Wan* and G.E. Karniadakis, “An adaptive multi-element generalized polynomial chaos method for stochastic differential equations”, J. Comp. Phys., vol. 209(2), pp. 617-642, 2005.
48. X. Wan*, D. Xiu* and G.E. Karniadakis, “Stochastic solutions for the two-dimensional advection-diffusion equation”, SIAM J. Sci. Comput., vol. 26(2), pp. 578-590, 2004.
49. D. Lucor* and G.E. Karniadakis, “Adaptive generalized polynomial chaos for nonlinear random oscillators”, SIAM J. Sci. Comput., vol. 26(2), pp. 720-735, 2004.
50. D. Xiu* and G.E. Karniadakis, “Supersensitivity due to uncertain boundary conditions”, Int. J. Num. Meth. Eng.’, vol. 61, pp. 2114-2138, 2004.
51. G. Lin*, C.-H. Su and G.E. Karniadakis, “The stochastic piston problem”, Proc. National Academy of Sciences, vol. 101, pp. 15840-15845, 2004.
52. D. Lucor* and G.E. Karniadakis, “Noisy inflows cause a shedding-mode switching in flow past an oscillating cylinder”, Phys. Rev. Lett., vol. 92(15), 154501, 2004. (featured on the cover).
53. D. Venturi and G.E. Karniadakis, “Gappy data and reconstruction procedures for flow past cylinder”, J. Fluid Mech., vol. 519, pp. 315-336, 2004.
54. D. Lucor*, C.-H. Su and G.E. Karniadakis, “Generalized polynomial chaos and random oscillators”, Int. J. Num. Meth. Eng., vol. 60(3), pp. 571-596, 2004.
55. D. Lucor* and G.E. Karniadakis, “Predictability and uncertainty in flow-structure interactions”, European Journal of Mechanics B/Fluids, vol. 23, pp. 41-49, 2004.
56. D. Lucor*, D. Xiu*, C.-H. Su and G.E. Karniadakis, “Predictability and uncertainty in CFD”, Int. J. Num. Meth. Fluids, vol. 43(5), pp. 485-505, 2003.
57. D. Xiu* and G.E. Karniadakis, “Modeling uncertainty in flow simulations via generalized polynomial chaos”, J. Comp. Phys., vol. 187, pp. 137-167, 2003.
58. D. Xiu* and G.E. Karniadakis, “A new stochastic approach to transient heat conduction modeling with uncertainty”, Int. J. Heat & Mass Transfer, vol. 46, pp. 4681-4693, 2003.
59. D. Xiu* and G.E. Karniadakis, “Modeling uncertainty in flow simulations via Generalized Polynomial Chaos”, J. Comp. Phys., vol. 187, pp. 137-167, 2003.
60. D. Xiu* and G.E. Karniadakis, “The Wiener-Askey Polynomial Chaos for stochastic differential equations”, SIAM Journal of Scientific Computing, vol 24, no. 2, pp. 619-644, 2002.
61. D. Xiu*, D. Lucor*, C.-H. Su and G.E. Karniadakis, “Stochastic modeling of flow-structure interactions using Generalized Polynomial Chaos”, J. Fluids Engineering, vol. 124, pp. 51-59, 2002.
62. M. Jardak*, C.-H. Su and G.E. Karniadakis, “Spectral Polynomial Chaos solutions of the stochastic advection equation”, J. Sci. Comp., vol. 17, pp. 319-338, 2002.
63. D. Xiu* and G.E. Karniadakis, “Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos”, Comput. Methods Appl. Mech. Engrg., vol. 191, pp. 4927-4948, 2002.
Spectral Element and DG Methods
1. S. Dong, G.E. Karniadakis and C. Chryssostomidis, “A robust and accurate outflow boundary condition for incompressible flow simulations on severely-truncated unbounded domains”, J. Comput. Phys., 261:83-105, 2014.
2. Y. Yue*, H. Baek* and G.E. Karniadakis, “Generalied fictitious methods for fluid-structure interactions: Analysis and simulations”, J. Comp. Phys., vol. 245, 317-346, 2013.
3. H. Baek* and G.E. Karniadakis, “A convergence study of a new partitioned fluid-structure interaction algorithm based on fictitious mass and damping”, J. Comp. Phys., vol. 231(2), 629-652, 2012.
4. B. Yildirim* and G.E. Karniadakis, “A hybrid spectral/DG method for solving the phase-averaged ocean wave equation: Algorithm and validation”, J. Comp. Phys., vol. 231, pp. 4921-4953, 2012.
5. Y. Yue*, H. Baek*, M.L. Bittencourt and G.E. Karniadakis, “Mixed spectral/hp element formulation for nonlinear elasticity”, Computer Methods in Applied Mechanics and Engineering, vol. 213-216, pp. 42-57, 2012.
6. H. Baek* and G.E. Karniadakis, “Sub-iteration leads to accuracy and stability enhancements of semi-implicit schemes for the Navier-Stokes equations”, J. Comp. Phys., vol. 230, pp. 4384-4402, 2011.
7. X. Luo*, A. Beskok and G.E. Karniadakis, “ Modeling electrokinetic flows by the smoothed profile method”, J. Comp. Phys., vol. 229, pp. 3828-3847, 2010.
8. X. Luo*, M. Maxey and G.E. Karniadakis, “Smoothed Profile Method for Particulate Flows: Error Analysis and Simulations”, J. Comp. Phys., vol. 228, pp. 1750-1769, 2009.
9. L. Grinberg* and G.E. Karniadakis, “Hierarchical spectral basis and Galerkin formulation using barycentric quadrature grids in triangular elements”, Journal of Engineering Mathematics, 56(3), 289-306, 2007.
10. R.M. Kirby*, Z. Yosibash and G.E. Karniadakis, “Towards stable coupling methods for high-order discretization of fluid-structure interaction: Algorithms and observations”, J. Comp. Phys., vol. 223, pp. 489-518, 2007.
11. X. Wan* and G.E. Karniadakis, “A sharp error estimate for the fast Gauss transform”, J. Comp. Phys., vol. 219, pp. 7-12, 2006.
12. G. Lin* and G.E. Karniadakis, “A discontinuous Galerkin method for two-temperature plasmas”, Comput. Methods Appl. Mech. Engrg., vol. 195, pp. 3504-3527, 2006.
13. R.M. Kirby* and G.E. Karniadakis, “Selecting the numerical flux in discontinuous Galerkin methods for diffusion problems”, Journal of Scientific Computing, vols. 22-23 (1-3), pp. 385-411, 2005.
14. D. Xiu*, S.J. Sherwin, S. Dong and G.E. Karniadakis, “Strong and auxiliary forms of the semi-Lagrangian method for incompressible flows”, Journal of Scientific Computing, vol. 25, pp 323-346, 2005.
15. S. Dong, D. Liu*, M.R. Maxey and G.E. Karanidakis, “Spectral distributed Lagrange multiplier method: Algorithm and benchmark tests”, Journal of Computational Physics, vol. 195, pp. 695-717, 2004.
16. R.M. Kirby* and G.E. Karniadakis, “De-aliasing on non-uniform grids: algorithms and applications, J. Comp. Phys., vol. 191, pp. 249-264, 2003.
17. D. Liu*, M. Maxey and G.E. Karniadakis, “A fast method for particulate microflows”, J. Microelectromechanical Systems, vol. 11(6), pp. 691-702, 2002.
18. R.M. Kirby* and G.E. Karniadakis, “Coarse resolution turbulence simulations using SVV-LES”, J. Fluids Eng., vol. 177, p. 133, 2002.
19. J.Xu*, D. Xiu* and G.E. Karniadakis, “A Semi-Lagrangian method for turbulence simulations using mixed spectral discretizations”, J. Sci. Comp., vol. 17, pp. 585-597, 2002.
20. C. Evangelinos*, D. Lucor*, C.-H. Su and G.E. Karniadakis, “Flow-induced vibrations of non-linear cables, Part I: Models and Algorithms”, Int. J. Num. Meth. Engin., vol. 55, pp. 535-556, 2002.
21. R.M. Kirby*, G.E. Karniadakis, O. Mikulchenko and K. Mayaram, “An integrated simulator for coupled domain problems in MEMS”, J. Microelectromechanical Systems, vol. 10(3), pp. 379-399, 2001.
22. D. Xiu* and G.E. Karniadakis, “A semi-Lagrangian high-order method for Navier-Stokes equations”, J. Comp. Phys., vol. 172, pp. 658-684, 2001.
23. G.S. Karamanos and G.E. Karniadakis, “A spectral vanishing viscosity method for large-eddy simulations”, J. Comp. Phys., vol. 162, pp. 22-50, 2000.
24. J. Trujillo* and G.E. Karniadakis, “A penalty method for the vorticity-velocity formulation”, J. Comp. Phys., vol. 149, pp. 32-58, 1999.
25. R.M. Kirby*, T.C. Warburton*, I. Lomtev* and G.E. Karniadakis, “A discontinuous Galerkin spectral/hp method on hybrid grids”, J. Appl. Num. Math., vol. 33, pp. 393-405, 1999.
26. I. Lomtev*, R.M. Kirby*, and G.E. Karniadakis, “A discontinuous Galerkin ALE method for compressible viscous flows in moving domains”, J. Comp. Phys., vol. 155, pp. 128-159, 1999.
27. T.C. Warburton* and G.E. Karniadakis, “A discontinous Galerkin method for the viscous MHD equations”, J. Comp.Phys., vol. 152, pp. 608-641, 1999.
28. T.C. Warburton*, I. Lomtev*, Y. Du*, S.J. Sherwin*, and G.E. Karniadakis, “Galerkin and discontinuous Galerkin spectral/hp methods”, Comp. Meth. Appl. Mech. Engr., vol. 175, pp. 343-359, 1999.
29. T.C. Warburton*, S.J. Sherwin* and G.E. Karniadakis, “Basis functions for triangular and quadrilateral high-order elements”, SIAM J. Scientific Computing, vol. 20(5), pp. 1671-1695, 1999.
30. I. Lomtev*, and G.E. Karniadakis, “A discontinuous Galerkin method for the Navier-Stokes equations”, Int. J. Num. Meth. Fluids, vol. 29, pp. 587-603, 1999.
31. I. Lomtev*, C.B. Quillen and G.E. Karniadakis, “Spectral/hp methods for viscous compressible flows on unstructured 2D meshes”, J. Comp. Phys., vol. 144, pp. 325-357, 1998.
32. S.J. Sherwin*, T.C. Warburton*, and G.E. Karniadakis, “Spectral/hp methods for elliptic problems on hybrid grids”, Contemporary Mathematics, vol. 218, p. 191-215, 1998.
33. S.J. Sherwin* and G.E. Karniadakis, “Tetrahedral hp finite elements: Algorithms and flow simulations,” J. Comp. Phys., vol. 124, p. 14, 1996.
34. D. Pathria & G.E. Karniadakis, “Spectral element methods for elliptic problems in non-smooth domains,” J. Comp. Phys., vol. 122, p. 83, 1995.
35. S.J. Sherwin* and G.E. Karniadakis, “A triangular spectral element method; Applications to the incompressible Navier-Stokes equations,” C.M.A.M.E., vol. 123, p. 189, 1995.
36. S.J. Sherwin* and G.E. Karniadakis, “A new triangular and tetrahedral basis for high-order finite element methods,” Int. J. Num. Meth. Eng., vol. 38, p. 3775, 1995.
37. R.D. Henderson* and G.E. Karniadakis, “Unstructured spectral element methods for simulation of turbulent flows,” J. Comp. Phys., vol. 122 p. 191, 1995.
38. J. Giannakouros* and G.E. Karniadakis, “A spectral element-FCT method for the compressible Euler equations,” J. Comp. Phys., vol 115, p. 65, 1994.
39. J. Giannakouros*, D. Sidilkover & G.E. Karniadakis, “Spectral element-FCT method for the one- and two-dimensional Euler equations,” C.M.A.M.E., vol. 116, p. 113, 1994; also in ICOSAHOM, p. 113, (eds. C. Bernardi & Y. Maday), North Holland, 1992.
40. D. Sidilkover & G.E. Karniadakis, “Non-oscillatory spectral element Chebyshev method for shock wave calculations,” Proc. 5th Conf. on Domain Decomposition Methods, SIAM, 1991, also in J. Comp. Phys., vol. 107, p. 10, 1993.
41. G.E. Karniadakis, M. Israeli & S.A. Orszag, “High-order splitting methods for the incompressible Navier-Stokes equations,” J. Comp. Phys., vol. 97, p.414, 1991.
42. R.D. Henderson* & G.E. Karniadakis, “Hybrid spectral element-low order methods for incompressible flows,” J. Sci. Comp., vol. 6, No. 2, p. 79, 1991.
43. J. Giannakouros* & G.E. Karniadakis, “Spectral element-FCT method for scalar hyperbolic laws,” Proc. 3rd Int. Conf. on Hyperb. Problems, vol. 1, p. 446, 1990 (also in Int. J. Num. Meth. Fluids, 14, p.707, 1992).
44. G.E. Karniadakis, “Spectral element-Fourier methods for incompressible turbulent flows,” C.M.A.M.E., vol. 80, p. 362, 1990. (also in Proc. ICOSAHOM’89 Conf., Como, 1989).
45. A.G. Tomboulides*, M. Israeli & G.E. Karniadakis, “Efficient removal of boundary- divergence errors in time-splitting methods,” J. Sci. Comp., vol. 4, p. 291, 1989.
46. G.E. Karniadakis, “Spectral element simulations of laminar and turbulent flows in complex geometries,” Appl. Num. Math., vol. 6, p. 85, 1989.
47. N.K. Ghaddar, G.E. Karniadakis & A.T. Patera, “A conservative isoparametric spectral element method for forced convection: Application to fully developed flow in periodic geometries,” Num. Heat Transfer, vol., 9, p.277, 1986.
Biomedical/Multiscale/Microfluidic Modeling
1. Deng M* and GE Karniadakis. “Electrostatic correlations near charged planar surfaces”, The Journal of Chemical Physics 141(9):094703. DOI: 10.1063/1.4894053, 2014.
2. Li Z, X Bian, B Caswell, and GE Karniadakis. “Construction of dissipative particle dynamics models for complex fluids via the Mori-Zwanzig formulation”, Soft Matter, 10 (43), 8659-8672. DOI: 10.1039/C4SM01387E, 2014.
3. Kim C* and GE Karniadakis. “Brownian motion of a Rayleigh particle confined in a channel: A generalized Langevin equation approach”, Journal of Statistical Physics, 10.1007/s10955-014-1160-2, 2014.
4. X. Li, Y.-H. Tang*, H. J. Liang, and G.E. Karniadakis, “Large-scale dissipative particle dynamics simulations of self-assembled amphiphilic systems”, Chem. Commun. 2014, 50, 8306-8308.
5. C. Kim* and G.E. Karniadakis, “Time correlation functions of Brownian motion and evaluation of friction coefficient in the near-Brownian-limit regime”, Multiscale Model. Simul., vol. 12, 225-248, 2014.
6. X. Li, Z. Peng, H. Lei*, M. Dao and G.E. Karniadakis, “Probing red cell mechanics, rheology and dynamics with a two-component multiscale model”, Phil. Trans. Royal Society A, 372, 20130389, 2014.
7. M. Deng* and G.E. Karniadakis,“Coarse-grained modeling of protein unfolding dynamics”, Multiscale Model. Simul., vol. 12, pp. 109-118, 2014.
8. P. Perdikaris* and G.E. Karniadakis, “Fractional-order viscoelasticity in one-dimensional blood flow models”, Annals of Biomedical Engineering, vol. 42(5), pp. 1012-1023, 2014.
9. D. Fedosov*, M. Dao, G.E. Karniadakis and S. Suresh, “Computational biorheology of human blood flow in health and disease”, Annals of Biomedical Engineering, 42:368-387, 2014.
10. Z. Li, Y. Tang*, H. Lei*, B. Caswell and G.E. Karniadakis, “Energy-conserving dissipative particle dynamics with temperature-dependent properties”, J. Comp. Phys., 265:113-127, 2014.
11. A. Witthoft*, J.A. Filosa and G.E. Karniadakis, “Potassium buffering in the neurovascular unit: Models and sensitivity analysis,” Biophysical Journal, 105, 2046-2054, 2013.
12. Z. Peng, X. Li, I. Pivkin, M. Dao, G.E. Karniadakis, and S. Suresh “Lipid bi-layer and cytoskeletal interactions in a red blood cell”, Proc. Nat. Acad. Sciences, 110(33):13356-61, 2013.
13. X. Li, P. Vlahovska and G.E. Karniadakis, Continuum- and particle-based modeling of shapes and dynamics of red cells in health and disease”, Soft Matter, 9:28-37, 2013.
14. H. Lei*, B. Caswell and G.E. Karniadakis, “Blood flow in small tubes: Quantifying the transition to the non-Newtonian regime”, J. Fluid Mechanics, 722:214-239, 2013.
15. H. Lei* and G.E. Karniadakis, “Probing vaso-occlusion phenomena in sickle cell anemia via mesoscopic simulations”, Proc. Nat. Acad. Sciences, 110(28):11326-30, 2013.
16. L. Grinberg, D.A. Fedosov and G.E. Karniadakis, “Parallel multiscale simulations of a brain aneurysm”, J. Comp. Phys., 244, 131-147, 2013.
17. H. Lei* and G.E. Karniadakis, “Probing vaso-occlusion phenomena in sickle cell anemia via mesoscopic simulations”, Proc. Nat. Acad. Sciences, 110(28):11326-30, 2013.
18. C. Kim* and G.E. Karniadakis, “Microscopic theory of Brownian motion revisted: The Rayleigh model”, Phys. Rev. E, vol. 87, 032129, 2013.
19. M. Deng*, X. Li, H. Liang, B. Caswell and G.E. Karniadakis, “Simulation and modeling of slip flow over surface grafted with polymer brushes and glycocalyx fibers”, J. Fluid Mech., vol. 711, 192-211, 2012.
20. X. Li, B. Caswell and G.E. Karniadakis, “Effect of chain chirality on the self-assembly of sickle hemoglobin”, Biophys. J., vol. 103, pp. 1130-1140, 2012.
21. D.A. Steinman et al., “Variability of Computational Fluid Dynamics Solutions for pressure and flow in a giant aneurysm: The ASME 2012 Summer Bioengineering Conference CFD Challenge”, J. Biomechanical Engineering, 135(2):021016-1:13
22. X. Li, A. Popel and G.E. Karniadakis, “Blood-plasma separation in Y-shaped bifurcating microfluidic channels: A dissipative particle dynamics simulation study”, Physical Biology, vol. 9, p. 026010, 2012.
23. H. Lei* and G.E. Karniadakis, “Predicting the morphology of sickle red blood cells using coarse-grained models of intracellular aligned hemologobin polymers”, Soft Matter, vol. 8, p. 4507-4516, 2012.
24. H. Lei* and G.E. Karniadakis, “Quantifying the rheological and hemodynamic characteristics of sickle cell anemia”, Biophysical Journal, vol. 102, pp. 185-194, 2012.
25. D. Fedosov*, B. Caswell, G. Karniadakis, “Wall shear stress-based method for adhesive dynamics of red blood cells in malaria”, Biophysical Journal, vol. 100, pp. 2084-2093, 2011.
26. D. Fedosov*, H. Lei*, B. Caswell, S. Suresh and G.E. Karniadakis, “Multiscale modeling of red blood cell mechanics and blood flow in malaria”, PLoS Computational Biology, vol. 7 (12), pp. 1-13, 2011.
27. D. Fedosov*, W. Pan*, B. Caswell, G. Gompper and G.E. Karniadakis, “Predicting human blood viscosity in silico”, Proc. Nat. Acad. Sciences, vol. 108, pp. 11772-11777, 2011.
28. W. Pan*, D. Fedosov*, B. Caswell, and G.E. Karniadakis, “Predicting dynamics and rheology of blood flow: A comparative study of multiscale and low-dimensional models of red blood cells”, Microvascular Research, vol. 82, pp. 163-170, 2011.
29. H. Lei*, D. Fedosov* and G.E. Karniadakis, “Time-dependent and outflow boundary conditions for Dissipative Particle Dynamics”, J. Comp. Phys., vol. 230, pp. 3765-3779, 2011.
30. M. Arienti, W. Pan*, X. Li, and G.E. Karniadakis, “Many-body dissipative particle dynamics simulation of liquid/vapor and liquid/solid interactions”, J. Chem. Phys., vol. 134, p. 204114, 2011.
31. D. Fedosov*, B. Caswell, S. Suresh and G.E. Karniadakis, “Quantifying the biophysical characteristics of Plasmododiumfalciparum -parasitized red blood cells in microcirculation, Proc. Nat. Acad. Sciences, vol. 108, pp. 35-39, 2011.
32. D. Quinn, I. Pivkin, S.Y. Yong, K.-H. Chiam, M. Dao, G.E. Karniadakis and S. Suresh, “Combined simulation and experimental study of large deformation of red blood cells in microfluidic systems”, Annals of Biomedical Engineering, vol. 39(3), pp. 1041-1050, 2011.
33. T. Anor, L. Grinberg*, H. Baek, M. Jayraman, J.R. Madsen and G.E. Karniadakis, “Modeling of blood flow in arterial trees”, Wiley Interdisciplinary Reviews: Systems Biology and Medicine, vol. 2, pp. 612-623, 2010.
34. L. Grinberg*, E. Cheever*, T. Anor, J.R. Madsen and G.E. Karniadakis, “Modeling blood flow circulation in intracranial arterial networks: A comparative 3D/1D simulation study”, Annals of Biomedical Engineering, vol. 39, pp. 297-309, 2010.
35. H. Baek*, M.V. Jayaraman, P.D. Richardson and G.E. Karniadakis, “Flow instability and wall shear stress variation in intracranial aneurysms”, J. of the Royal Society Interface, vol. 7, pp. 967-988, 2010.
36. D. Fedosov*, B. Caswell, A. Popel and G.E. Karniadakis, “Blood flow and cell-free layer in microvessels”, Microcirculation, vol. 17 (8), pp. 615-628, 2010.
37. L. Grinberg* and G.E. Karniadakis, “Extrapolation-based acceleration of iterative solvers: Application to simulation of 3D flows”, Commun. Comput. Phys., vol. 9, pp. 607-626, 2011.
38. W. Pan*, B. Caswell and G.E. Karniadakis, “A low-dimensional model for the red blood cell”, Soft Matter, vol. 6, pp. 4366-4376, 2010.
39. D. Fedosov*, B. Caswell and G.E. Karniadakis, “Systematic coarse-graining of spectrin-level red blood cell models, Computer Methods in Applied Mechanics and Engineering, vol. 199, pp. 1937-1948, 2010.
40. D. Fedosov*, B. Caswell and G.E. Karniadakis, “A multiscale red blood cell model with accurate mechanics, rheology and dynamics, Biophysical Journal, vol. 98, pp. 1-11, 2010.
41. H. Lei*, B. Caswell and G.E. Karniadakis, “Direct construction of mesoscopic models from microscopic simulations”, Phys. Rev. E, vol. 81(2), 026704, 2010.
42. W. Pan*, B. Caswell and G.E. Karniadakis, “Rheology, Microstructure and Migration in Brownian Colloidal Suspensions”, Langmuir, vol. 26(1), pp. 133-142, 2010.
43. H. Baek*, M.V. Jayaraman and G.E. Karniadakis, “Wall shear stress and pressure distribution on aneurysms and infundibulae in the posterior communicating artery bifurcation”, Annals of Biomedical Engineering, Vol. 37, No. 12, pp. 2469-2487, 2009.
44. I. Pivkin*, P. Richardson and G.E. Karniadakis, “Effect of red blood cells on platelet aggregation”, IEEE Engineering in Medicine & Biology Magazine, vol. 28(2), 32-37, March-April 2009.
45. L. Grinberg*, A. Yakhot and G.E. Karniadakis, “Analyzing transient turbulence in a stenosed artery by Proper Orthogonal Decomposition”, Annals of Biomedical Engineering, vol. 37(1), pp. 2200-2217, 2009.
46. X. Li, I. Pivkin*, H. Liang and G.E. Karniadakis, “Shape transformations of membrane vesicles from amphiphilic triblock copolymers: A Dissipative Particle Dynamics simulation study”, Macromolecules, vol. 42, pp. 3195-3200, 2009.
47. J. Foo*, S. Sindi and G.E. Karniadakis, “Multi-element probabilistic collocation for sensitivity analysis in cellular signaling networks”, IET Systems Biology, vol. 3 (4), pp. 239-254, 2009.
48. D. Fedosov* and G.E. Karniadakis, “Triple-Decker: Interfacing atomistic-mesoscopic-continuum flow regimes”, J. Comp. Phys., vol. 228, pp. 1157-1171, 2009.
49. L. Grinberg*, T. Anor, E. Cheeve, J. R. Madsen and G. E. Karniadakis, “Simulation of the Human Intracranial Arterial Tree, Philosophical Transactions of the Royal Society A”, vol. 367, pp. 2371-2386, 2009.
50. W. Pan*, D.A. Fedosov*, B. Caswell and G.E. Karniadakis, “Hydrodynamic interactions for single dissipative-particle-dynamics particles and their clusters and filaments,” Phys. Rev. E, vol. 78, 046706, 2008.
51. W. Pan*, I.V. Pivkin* and G.E. Karniadakis, “Single-particle hydrodynamics in DPD: A new formulation,” EuroPhysics Letters, vol. 84, 10012, 2008.
52. L. Grinberg* and G.E. Karniadakis, “Outflow boundary conditions for arterial networks with multiple outlets”, Annals of Biomedical Engineering, vol. 36 (9), pp. 1496-1514, 2008.
53. L. Grinberg*, T. Anor, J.R. Madsen, A. Yakhot and G.E. Karniadakis, “Large-Scale Simulation of the Human Arterial Tree”, Clinical and Experimental Pharmacology and Physiology, published on-line July 2008.
54. I. Pivkin* and G.E. Karniadakis, “Accurate coarse-grained modeling of red blood cells”, Phys. Rev. Let., vol. 101(11), 118105, 2008.
55. D. Fedosov*, G.E. Karniadakis and B. Caswell, “Dissipative particle dynamics simulation of depletion layer and polymer migration in micro- and nanochannels for dilute polymer solutions”, J. Chem. Phys., vol. 128, pp. 144903-14, 2008.
56. D. Fedosov*, I. Pivkin* and G.E. Karniadakis, “Velocity limit in DPD simulations of wall-bounded flows”, J. Comp. Phys., vol. 227, pp. 2540-2559, 2008.
57. A. Yakhot, T. Amor and G.E. Karniadakis, “A reconstruction method for gappy and noisy arterial flow data”, IEEE Transactions on Medical Imaging, vol. 26, No. 12, pp. 1681-1697, 2007.
58. I. Pivkin*, P.D. Richardson and G.E. Karniadakis, “Blood flow velocity effects and role of activation delay time on growth and form of platelet thrombi”, Proc. Nat. Acad. Sci., USA, vol. 103, no. 46, 17164, 2006.
59. P.D. Richardson, I. Pivkin*, G.E. Karniadakis, and D.H. Laidlaw “Blood flow at arterial branches: Complexities to resolve at the angioplasty suite”, Lecture Notes in Computer Science, vol. 3993, pp. 538-545, 2006.
60. V. Symeonidis*, G.E. Karniadakis and B. Caswell, “Schmidt number effects in dissipative particle dynamics simulation of polymers”, J. Chem. Phys., vol. 125, 184902, 2006.
61. I. Pivkin* and G.E. Karniadakis, “Controlling density fluctuations in wall-bounded dissipative particle dynamics systems”, Phys. Rev. Let., vol 96 (20), 206001, 2006.
62. V. Symeonidis* and G.E. Karniadakis, “A family of time-staggered schemes for integrating hybrid DPD models for polymers: Algorithms and applications”, J. Comp. Phys., vol. 218, pp. 82-101, 2006.
63. I. Pivkin* and G.E. Karniadakis, “Coarse-graining limits in open and wall-bounded DPD systems”, J. Chem. Phys., vol. 124, 184101, 2006.
64. E. Keaveny, I. Pivkin*, M.R. Maxey and G.E. Karniadakis, “A comparative study between dissipative particle dynamics and molecular dynamics for simple- and complex-geometry flows”, J. Chem. Phys., vol. 123, p. 104-107, 2005.
65. V. Symeonidis*, G.E. Karniadakis and B. Caswell, “Dissipative particle dynamics simulations of polymer chains: Scaling laws and shearing response compared to DNA experiments”, Phys. Rev. Lett., vol 95, 076001, 2005.
66. I. Pivkin*, P.D. Richardson, D.H. Laidlaw and G.E. Karniadakis, “Combined effects of pulsatile flow and dynamic curvature on wall shear stress in a coronary artery bifurcation model”, J. Biomechanics, vol. 38, pp. 1283-1290, 2005.
67. I. Pivkin* and G.E. Karniadakis, “A new method to impose no-slip boundary conditions in dissipative particle dynamics”, J. Comp. Phys., vol. 207, pp. 114-128, 2005.
68. V. Symeonidis*, G.E. Karniadakis and B. Caswell, “A seamless approach to multiscale complex fluid simulation”, Computing in Science & Engineering, pp. 39-46, May/June 2005.
69. A. Beskok* and G.E. Karniadakis, “A model for flows in channels, pipes and ducts at micro- and nano-scales”, J. Microscale Thermophysical Engineering, vol. 3, pp. 43-77, 1999.
70. A. Beskok*, G.E. Karniadakis and W. Trimmer, “Rarefaction and compressibility effects in gas microflows, J. Fluids Engineering, vol. 118, p. 448, 1996.
71. S.J. Sherwin*, G.E. Karniadakis & S.A. Orszag, “Numerical simulation of the ion etching process,” J. Comp. Phys., vol. 110, p. 373, 1994.
72. A. Beskok* and G.E. Karniadakis, “Simulation of heat and momentum transfer in complex micro-geometries,” J. Thermophys. and Heat Transfer, vol. 8, no. 4, p. 647, 1994.
73. M.K. Sharp, R. D. Kamm, A.H. Shapiro, E. Kimmel & G.E. Karniadakis, “Dispersion in a curved tube during oscillatory flow,” J. Fluid Mech., vol. 223, p. 537, 1991.
74. S.J. Sherwin*, E. Barough, G.E. Karniadakis & S.A. Orszag, “Modeling of multilayer etching processes,” J. of Vacuum Science and Technology, vol. 11, p. 1310, 1993.
Fluid Mechanics
1. R. Bourguet, G.E. Karniadakis and M.S. Triantafyllou, “Multi-frequency vortex-induced vibrations of a long tensioned beam in linear and exponential shear flows”, J. Fluids and Structures, 41(8):33-42, 2013.
2. R. Bourguet, G.E. Karniadakis and M.S. Triantafyllou, “Distributed lock-in drives broadband vortex-induced vibrations of a long flexible cylinder in shear flow”, J. Fluid Mech., vol. 717, pp. 361-375, 2013.
3. R. Bourguet, G.E. Karniadakis and M.S. Triantafyllou, “Phasing mechanisms between the in-line and cross-flow vortex-induced vibrations of a long tensioned beam in shear flow”, Computers and Structures, 122(6):155-163, 2013.
4. R. Bourguet, Y. Modarres-Sadeghi, G.E. Karniadakis and M.S. Triantafyllou, “Wake-body resonance of long flexible structures is dominated by counter-clockwise orbits”, Phys. Rev. Lett., vol. 107, 134502, 2011.
5. R. Bourguet, G.E. Karniadakis and M.S. Triantafyllou, “Lock-in of the vortex-induced vibrations of a long tensioned beam in shear flow”, J. Fluids & Structures, vol. 27, pp. 838-847, 2011.
6. R. Bourguet, G.E. Karniadakis and M.S. Triantafyllou, “Vortex-induced vibrations of a long flexible cylinder in shear flow”, J. Fluid Mech., vol. 667, pp. 342-382, 2011.
7. H. Baek* and G.E. Karniadakis, Suppressing vortex-induced vibrations via passive means, J. Fluids & Structures, vol. 25(5), pp. 848-866, 2009.
8. D. Liu*, E. Keaveny, M.R. Maxey and G.E. Karniadakis, “Force coupling method for flows with ellipsoidal particles”, J. Comp. Phys., vol. 228, pp. 3559-3581, 2009.
9. S. Dong, G.S. Triantafyllou and G.E. Karniadakis, “Elimination of vortex streets in bluff-body flows”, Phys. Rev. Let., vol 100, 204501, 2008.
10. J.M. Dahl, F.S. Hover, M.S. Triantafyllou, S. Dong and G.E. Karniadakis, “Resonant vibrations of bluff bodies cause multivortex shedding and high frequency forces”, Phys. Rev. Let., vol 99, (14), 144503, 2007.
11. J. Xu*, S. Dong, M.R. Maxey and G.E. Karniadakis, “Turbulent drag reduction by constant near-wall forcing”, J. Fluid Mech., vol. 582, pp. 79-101, 2007.
12. E. Climent, K. Yeo, M.R. Maxey and G.E. Karniadakis, “Dynamic self-assembly of spinning particles”, J. Fluids Engin., vol. 129, pp. 379-387, 2007.
13. G.V. Papaioannou, D.K.P. Yue, M.S. Triantafyllou and G.E. Karniadakis, “Three-dimensionality effects in flow around two tandem cylinders”, J. Fluid Mech., vol. 558, pp. 387-413, 2006.
14. G.V. Papaioannou, D.K.P. Yue, M.S. Triantafyllou and G.E. Karniadakis, “Evidence of holes in the Arnoldi tongues in flow past two oscillating cylinders”, Phys. Rev. Lett., vol 96, 014501, 2006.
15. S. Dong, G.E. Karniadakis, A. Ekmekci and D. Rockwell, “A combined DNS-PIV study of the turbulent near-wake”, J. Fluid Mech., vol. 569, pp. 185-207, 2006.
16. D. Lucor*, J. Foo*, and G.E. Karniadakis, “Vortex mode selection of a rigid cylinder subject to VIV at low mass-damping”, Journal of Fluids & Sructures, vol. 20(4), pp. 483-503, 2005.
17. S. Dong and G.E. Karniadakis, “DNS of flow past a stationary and oscillating cylinder at Re = 10000”, Journal of Fluids & Structures, vol. 20(4), pp. 519-531, 2005.
18. D. Liu*, M.R. Maxey and G.E. Karniadakis, “Simulations of dynamic self-assembly of paramagnetic microspheres in confined microgeometries”, Journal of Micromechanics and Microengineering, vol. 15, pp. 2298-2308, 2005.
19. E. Climent, M.R. Maxey and G.E. Karniadakis, “Dynamics of self-assembled chaining in magnetorheological fluids”, Langmuir, vol. 20(2), pp. 507-513, 2004.
20. D. Liu*, M.R. Maxey and G.E. Karniadakis, “Modeling and optimization of colloidal micro-pumps”, Journal of Micromechanics and Microengineering, vol. 14, pp. 567-575, 2004. (Top 3% of downloads across all IOP journals.)
21. S. Sirisup*, G.E. Karniadakis, N. Saelim and D. Rockwell, “DNS and experiments of flow past a wired cylinder at low Reynolds number”, European Journal of Mechanics B/Fluids, vol. 23, pp. 181-188, 2004.
22. D. Lucor* and G.E. Karniadakis, “Effects of Oblique inflow in vortex-induced vibrations”, Flow, Turbulence and Combustion, vol. 71, pp. 375-389, 2003.
23. X. Ma*, V. Symeonidis* and G.E. Karniadakis, “A spectral vanishing viscosity method for stabilizing viscoelastic flows”, J. Non-Newtonian Fluid Mechanics, vol. 115, pp. 125-155, 2003.
24. J. Xu*, S. Dong, M.R. Maxey and G.E. Karniadakis, “Direct numerical simulation of turbulent channel flow with bubbles”, Contemporary Mathematics, vol. 329, pp. 347-354, 2003.
25. J. Xu*, M. Maxey and G.E. Karniadakis, “Numerical simulation of turbulent drag reduction using micro-bubbles”, J. Fluid Mech., vol. 468, pp. 271-281, 2002.
26. D. Lucor*, C. Evangelinos*, L. Imas and G.E. Karniadakis, “Flow-induced vibrations of non-linear cables, Part II: Simulations”, Int. J. Num. Meth. Engin., vol. 55, pp. 557-571, 2002.
27. Y. Du*, V. Symeonidis* and G.E. Karniadakis, “Drag reduction in wall-bounded turbulence via a transverse traveling wave”, J. Fluid Mech., vol. 457, pp. 1-34, 2002.
28. D. Lucor*, L. Imas and G.E. Karniadakis, “Vortex displocations and force distribution of long flexible cylinders subjected to sheared flows”, J. Fluids & Structures, vol. 15, pp. 641-650, 2001.
29. Y. Du* and G.E. Karniadakis, “Suppresing wall turbulence by means of a transverse traveling wave”, Science, vol. 288, pp. 1230-1234, 2000.
30. X. Ma*, G.-S. Karamanos* and G.E. Karniadakis, “Dynamics and low-dimensionality in the turbulent near-wake”, J. Fluid Mech., vol. 410, pp. 29-65, 2000.
31. C. Evangelinos*, D. Lucor* and G.E. Karniadakis, “DNS-derived force distribution on flexible cylinders subject to vortex-induced vibration”, J. Fluid Mech., vol. 14(3), pp. 429-440, 2000.
32. G.E. Karniadakis, “Simulating turbulence in complex geometries”, Fluid Dynamics Research, vol. 24 (6), pp. 343-362, 1999.
33. C. Evangelinos* and G.E. Karniadakis, “Dynamics and flow structures in the turbulent wake of rigid and flexible cylinders subject to vortex-induced vibrations”, J. Fluid Mech., vol. 400, pp. 91-124, 1999.
34. D.J. Newman* and G.E. Karniadakis, “Simulations of flow past a freely vibrating cable,” J. Fluid Mech., vol. 344, p. 95, 1997.
35. C.H. Crawford* and G.E. Karniadakis, “Reynolds stress analysis of EMHD-controlled wall turbulence, Part I: Stream-wise forcing, Phys. Fluids, vol. 9(3), 1997.
36. D.J. Newman* and G.E. Karniadakis, “Simulations of flow over a flexible cable: A comparison of forced and flow-induced vibrations,” J. Fluids & Structures, vol. 10, p. 439, 1996.
37. L. Kaiktsis, G.E. Karniadakis and S.A. Orszag, “Unsteadiness and convective instabilities in flow over a backward-facing step,” J. Fluid Mech., vol. 321, p. 157, 1996.
38. G.E. Karniadakis and G.L. Brown, “Vorticity transport in modeling three-dimensional unsteady shear flows,” Phys. Fluids, vol 7(4), p. 688, 1995.
39. D. Chu* & G.E. Karniadakis, “A direct numerical simulation of laminar and turbulent flow over riblet-mounted surfaces,” J. Fluid Mech., vol. 250, p.1, 1993.
40. M.V. Zagarola, A.J. Smits & G.E. Karniadakis, “Heat transfer enhancement in transitional channel flow,” J. Wind Engineering & Industrial Aerodynamics, vol. 49, p. 257, 1993.
41. D. Chu*, R.D. Henderson* & G.E. Karniadakis, “Parallel spectral element-Fourier simulation of turbulence over riblet-mounted surfaces,” Theor. & Comput. Fluid Dynamics, vol. 3, p.219, 1992.
42. A.G. Tomboulides*, G.S. Triantafyllou & G.E. Karniadakis, “A new mechanism of period doubling in free shear flows,” Phys. Fluids, vol. 4 (7), p. 1329, 1992.
43. G.E. Karniadakis & G.S. Triantafyllou, “Three-dimensional dynamics and transition to turbulence in the wake of bluff objects,” J. Fluid Mech., vol. 238, p. 1, 1992.
44. P.F. Batcho* & G.E. Karniadakis, “Chaotic transport in two- and three-dimensional flow past a cylinder,” Phys. Fluids, vol. 3(5), p. 1051, 1991.
45. D. Barkley, G.E. Karniadakis, I.G. Kevrekidis, A.J. Smits & Z.H. Shen, “Chaotic advection in a complex annular geometry,” Phys. Fluids, vol. 3(5), p. 1063, 1991.
46. L. Kaiktsis*, G.E. Karniadakis & S.A. Orszag, “Onset of three-dimensionality, equilibria, and early transition in flow over a backward-facing step,” J. Fluid Mech., vol. 231, p. 501, 1991.
47. P.F. Batcho*, G.E. Karniadakis & S.A. Orszag, “Numerical investigation of the spreading of self-excited stratified jets,” ASME Symp. on Unsteady Flows, Toronto, 1990, also in J.Fluids & Structures, vol. 5, p. 681-700, 1991.
48. G.S. Triantafyllou & G.E. Karniadakis, “Computational reducibility of unsteady viscous flows,” Phys. Fluids, vol. 2, p. 653, 1990.
49. G.E. Karniadakis & G.S. Triantafyllou, “Frequency selection and asymptotic states in laminar wakes,” J. Fluid Mech., vol. 199, p. 447, 1989.
50. G.E. Karniadakis & G.S. Triantafyllou, “The crisis of transport measures in chaotic flow past a cylinder,” Phys. Fluids, vol. 4, p. 628, 1989.
51. G.E. Karniadakis, B.B. Mikic & A.T. Patera, “Transport enhancement by flow destabilization: Reynolds’ analogy revisited,” J. Fluid Mech., vol. 192, p. 365, 1988.
52. G.E. Karniadakis, “Numerical simulation of forced convection heat transfer from a cylinder in crossflow,” Int. J. Heat & Mass Transfer, vol. 31, p. 107, 1988.
Low-Dimensional Modeling
1. X. Yang*, D. Venturi, C. Cheng, C. Chryssostomidis and G.E. Karniadakis, “EOF-based constrained sensor placement and field reconstruction from noisy ocean measurements: Application to Nantucket Sound”, J. Geophys. Res. Oceans, vol. 115, C12072, 2010.
2. B. Yildirim*, C. Chryssostomidis and G.E. Karniadakis, “Efficient Sensor Placement for Ocean Measurements using Low-dimensional Concepts”, Ocean Modelling, vol. 27, pp. 160-173, 2009.
3. S. Sirisup*, G.E. Karniadakis, D. Xiu and I.G. Kevrekidis, “Equation-free/Galerkin-free POD-assisted computation of incompressible flows”, Journal of Computational Physics, vol. 207(2), pp. 568-587, 2005.
4. S. Sirisup*, G.E. Karniadakis, “Stability and accuracy of periodic flow solutions obtained by a POD-penalty method”, Physica D, vol. 202, pp. 218-237, 2005.
5. S. Sirisup*, G.E. Karniadakis, “A spectral viscosity method for correcting the long-term behavior of POD models”, J. Comp. Phys., vol. 194, pp. 92-116, 2004.
6. S. Sirisup*, G.E. Karniadakis, Y. Yang and D. Rockwell, “Wave-structure interaction: simulation driven by quantitative imaging”, Proc. R. Soc. Lond. A, vol. 460, pp. 729-755, 2004.
7. X. Ma*, G.E. Karniadakis, H. Park and M. Gharib, “DPIV-Driven simulation: A new computational paradigm”, Proc. Royal Soc. A, vol. 459, pp. 547-565, 2003.
8. X. Ma*, G.E. Karniadakis, H. Park and M. Gharib, “DPIV/T-Driven convective heat transfer simulation”, Int. J. Heat & Mass Transfer, vol. 45, pp. 3517-3527, 2002.
9. X. Ma* and G.E. Karniadakis, “A low-dimensional model for simulating 3D cylinder flow”, J. Fluid Mech., vol. 458, pp. 181-190, 2002.
10. A.K. Bangia, P.F. Batcho*, I.G. Kevrekidis and G.E. Karniadakis, “Unsteady 2D flows in complex geometries: Comparative bifurcation studies with global eigenfunction expansions,” SIAM J. Sci. Stat. Comp., vol. 18, p. 775, 1997.
11. P. F. Batcho* & G.E. Karniadakis, “Generalized Stokes eigenfunctions: A new trial basis for the incompressible Navier-Stokes equations,” J. Comp. Phys., vol 115, p. 121, 1994.
12. A.E. Deane, I.G. Kevrekidis, G.E. Karniadakis & S.A. Orszag, “Low-dimensional models for complex geometry flows: Application to grooved channels and circular cylinders,” Phys. Fluids, vol. 3(10), p. 2337, 1991.
Parallel Computing
1. Y.-H. Tang and G.E. Karniadakis, “Accelerating Dissipative Particle Dynamics Simulations on GPUs: Algorithms, Numerics and Applications”, Comput. Phys. Commun., 185, 2809-2822, 2014.
2. L. Grinberg, D. Fedosov and G. E. Karniadakis, “Parallel multiscale simulations of a brain aneurysm”, Journal of Computational Physics, 244:131-147, 2013.
3. L. Grinberg, J. Insley , D. Fedosov, V. Morozov, M. Papka and G. E. Karniadakis, “Tightly Coupled Atomistic-continuum Simulations of Brain Blood Flow on Petaflop Supercomputers, Computing in Science and Engineering”, vol. 14(6), p. 58-67, 2012.
4. L. Grinberg* and G.E. Karniadakis, “A new domain decomposition method with overlapping patches for ultrascale simulations: Application to biological flows”, J. Comp. Phys., vol. 229, pp. 5541-5563, 2010.
5. L. Grinberg*, D. Pekurovsky, S. Sherwin and G. E. Karniadakis, “Parallel performance of the coarse space linear vertex solver and low energy basis preconditioner for spectral/hp elements”, Parallel Computing, vol. 35, pp. 284-304, 2009.
6. L. Grinberg* and G.E. Karniadakis, “A scalable domain decomposition method for ultra-parallel arterial flow simulations”, Commun. Comput. Phys., vol. 4, pp. 1151-1169, 2008.
7. S. Dong, J. Insley, N.T. Karonis, M. Papka, J. Binns and G.E. Karniadakis. “Simulating and visualizing the human arterial system on the TeraGrid”, Future Generation Computer Systems, The International Journal of Grid Computing: Theory, Methods and Applications, vol. 22, pp. 1011- 1017, 2006.
8. S. Dong, G.E. Karniadakis and N. Karonis, “Cross-Site Computations on the TeraGrid”, Computing in Science & Engineering, vol. 7(5), 14-23, 2005.
9. S. Dong and G.E. Karniadakis, “Dual-level parallelism for high-order CFD methods”, Parallel Computing, vol. 30(1), pp. 1-20, 2004. (Ten most downloaded articles in Parallel Computing).
10. S. Dong and G.E. Karniadakis, “Multilevel parallelization models in CFD”, Journal of Aerospace Computing, Information and Communication, vol. 1, pp. 256-268, 2004.
11. J.S. Sobel, A.S. Forsberg, D.H. Laidlaw, R.C. Zelesnik, D.F. Keefe, I. Pivkin*, G.E. Karniadakis, P. Richardson and S. Swartz, “Particle Flurries”, IEEE Computer Graphics and Applications, vol. 24(2), pp. 76-85, 2004.
12. S. Dong and G.E. Karniadakis, “P-refinement and P-threads”, Comput. Methods Appl. Mech. Engrg., vol. 192, pp. 191-2201, 2003.
13. C. Evangelinos*, S.J. Sherwin and G.E. Karniadakis, “Parallel DNS algorithms on unstructured grids”, Comp. Meth. Appl. Mech. Engr., vol. 184, pp. 401-425, 2000.
14. C. Evangelinos* and G.E. Karniadakis, “Parallel CFD Benchmarks on Cray Computers,” Parallel Algorithms and Applications, vol. 9, p. 273, 1996, also in Proc. Int. Conf. Parallel Algorithms, October 1995, Wuhan, China (invited presentation).
15. C.H. Crawford*, C. Evangelinos*, D.J. Newman* and G.E. Karniadakis, “Parallel benchmarks of turbulence in complex geometries,” Computers and Fluids, vol. 25, p. 677, 1996, also in Proc. Parallel CFD’95, June 26-29, 1995, Pasadena, CA.
16. P. Fischer, L.W. Ho, G.E. Karniadakis, E.M. Ronquist & A.T. Patera, “Recent advances in parallel spectral element simulation of unsteady incompressible flows,” Comp. & Structures, vol. 30, p. 217, 1988.
| Year | Degree | Institution |
|---|---|---|
| 1987 | PhD | Massachusetts Institute of Technology |
| 1984 | MS | Massachusetts Institute of Technology |
SIAM/ACM Prize on Computational Science and Engineering
SIAM's 2015 Ralph E. Kleinman Award
2015 MCS Wiederhielm Award
US Association of Computational Mechanics, (inaugural) J. Tinsley Oden Medal, 2013.
US Association of Computational Mechanics, 2007 Computational Fluid Dynamics award.
Fellow of the Society for Applied and Industrial Mathematics
(SIAM), 2010-.
Fellow of the American Physical Society (APS), 2004-.
Fellow of the American Society of Mechanical Engineers (ASME), 2003-.
Associate Fellow of the American Institute of Aeronautics and Astronautics (AIAA), 2006-.
17th Robert Bruce Wallace Lecture award, MIT, 2003.
Rheinstein junior faculty award, Princeton University, 1992.
DOE/SCIDAC vizualization award, 2011, (with ANL researchers).
Finalist, Gordon Bell Prize, Supercomputing'11, (with Grinberg, Morozov, et al.).
Best poster in Supercomputing'08 (with L. Grinberg, J. Cazes) on``A Scalable Domain Decomposition Method for Ultra-Parallel Arterial Flow Simulation, SC08, Austin, TX, November 2008.
Member of the APS Cyberfluids Committee (2008 - 2010).
Member of Scientific Committee of the annual SIAM conference (2004).
Scientific Committee of International Conference on Tranport Phenomena in Micro and Nanodevices, (2004).
Member of Scientific Committee of FIV2004/FIV2008 conferences (2004/2008).
Member of Scientific Committee of BBVIV3 Conference on Wakes 2002/2005.
Member of Scientific Committee of IUTAM Conference on Unsteady Flows 2002.
Member of Scientific Committee of FEM in Flow Problems 2000.
Member of Scientific Committee of IUTAM Conference on Wakes 2000.
Member of Scientific Committee of ICOSAHOM, 1998 - present.
Member of Scientific Committee of 1st-3nd AFOSR Conferences on DNS/LES, 1997, 1999, 2001.
Member of Scientific Committee of 11th International Parallel Processing Symposium, 1997.
Member of Scientific Committee of 2nd International Colloquium on Bluff Body Aerodynamics and Applications, Melbourne, 1992.
Member of the Editorial Board for the Computational Fluid Dynamics Journal, 1992-.
Member of the Editorial Board for the International Journal of Computational Engineering Science, 2005- .
Member of the Editorial Board for Communications in Computational Physics, 2005-.
Associate Editor of Acta Mechanica Sinica, 2004 - .
Member of the Editorial Board for International Journal for Uncertainty Quantification, 2010-.
Member of the Editorial Board for Computer Methods in Applied Mechanics and Engineering (CMAME), 2010-.
Associate Editor of Journal of Computational Physics, 2006-.
Associate Editor of J. Fluids Engineering, 1993-96; 2000-2003.
Member and chairman of the Peer Review Board of NSF (PSC/NCSA) supercomputing Centers, 1993-96.
Member of the Users Advisory Board for Supercomputing: NCSA, 1998-;
PSC; 2000-; NPACI Allocations Committee: 2001- .
Member and chair of the Teragrid NSF panel 2000-04.
Member of the WTEC panel to evaluate the status of computational science, 2007-2008.
Member of the Editorial Board of M2AN (Mathematical Modeling and Numerical Analysis), 2008-2012.
Chief Organizer of ICOSAHOM'04, June 2004 (with Gottlieb, Shu & Hestahven).
Organizer of Symposium on Microfluidics, WCCM V, July 2002 (with N. Aluru).
Organizer of Symposium on Instability/Transition, IUTAM, April 2002.
Organizer of Symposium on Microfluidics, AIAA, January 2001 (with A. Beskok).
Organizer of Symposium on FEM & LES, FEM 2000, April 2000, Austin, TX.
Organizer of 'International Symposium of Discontinuous Galerkin Methods', May 24-26, 1999, Newport, RI (with C.-W. Shu and B. Cockburn).
Organizer of Symposium on 'High-Order Methods for Compressible Flow Calculations', SIAM Conference, Stanford University, July 1997 (with C.-W. Shu).
Organizer of ONR Workshop on 'Flow/Wave-Structure Interactions', Brown University, June 1997 (with T.F. Swean).
Organizer of Symposium on 'HP/Spectral finite elements in computational mechanics' ICES'95, July 30-August 3, 1995, Mauna Lani, Hawaii, (with B. Guo).
Organizer of International Symposium on 'Parallel Computing for Multi-phase Flows', ASME, Chicago, November 1994 (with S. Kim and M. Vernon).
Organizer of Symposium on 'Spectral Methods and Applications', 2nd U.S. National Congress on Computational Mechanics, Washington, D.C., August 1993.
Organizer of Symposium on 'High-Order Schemes for Shock Wave Calculations', SIAM Conference, July 1993 (with C.-W. Shu).
Organizer of Symposium on Theoretical and Computational Fluid Dynamics, 29th Annual Meeting of the Society of Engineering Science at UCSD, La Jolla, September 1992 (with C. Pozrikidis and Y. Kevrekidis).
Organizer of Symposium on 'Parallel Aspects of High-Order Method', ICOSAHOM, Montpellier, June 1992.
Organizer of DARPA-ONERA USA-French Conference on 'Wavelets and Turbulence', Princeton, June 1991.
| APMA 2070 - Deep Learning for Scientists & Engineers |
| APMA 2550 - Numerical Solution of Partial Differential Equations I |
| APMA 2560 - Numerical Solution of Partial Differential Equations II |
| APMA 2580A - Computational Fluid Dynamics |
| ENGN 2912V - Deep Learning for Scientists and Engineers |
