Fluid structure interaction, interface-driven flows, environmental and ecological fluid mechanics, biomechanics, analytical and numerical solution of partial differential equations, optimization, etc.
We are a group of theorists interested in understanding problems involving mechanics, with application to a wide array of fields. Our goal is to develop simple but quantitatively accurate descriptions for classical phenomena in idealized problems drawing inspiration from energy, environment and biology. We use a combination of theoretical analysis, desktop computation and table-top experiments to obtain insight into these phenomena.
Our approach to research makes heavy use of approximations under the rigorous justification provided by asymptotics and perturbation methods. This approximation allows us to retain the essential physics underlying the phenomena, while ignoring extraneous effects. These simplified mathematical models are then solved using, sometimes custom designed, computational techniques. The process of developing and implementing the computational methods itself plays a central role in elucidating the physics, because we typically do not seek an all-purpose computational method, but one tuned towards the particular asymptotic regime under consideration.
Human Frontier Science Program Young Investigator Award.
Lectureship in Applied Mathematics, Harvard University.
Geophysical Fluid Dynamics Summer Program Fellowship, Woods Hole Institute of Oceanography.
Primary Meeting: M W F 11:00 am - 11:50 am Barus & Holley 159
Aims to give mechanical engineering students a deeper and more thorough grounding in principles and basic applications. Topics include review of the conservation principles; inviscid flow; viscous flow, including aerodynamics lubrication theory; laminar boundary layers; wave motions and wave drag. Lectures, assignments, computational projects, and laboratory.
Prerequisites: ENGN 0720 and 0810.
Instructor: Shreyas Mandre
Undergraduate level ENGN 0720 Minimum Grade of S and Undergraduate level ENGN 0810 Minimum Grade of S or Graduate Student PreReq WAIVE
ENGN 0810 - Fluid Mechanics. Fall 2016.
ENGN 1860 - Advanced Fluid Mechanics. Spring 2014, Spring 2016.
ENGN 2912J - Asymptotic and Perturbation Methods. Fall 2015.