MAE 7400

Finite Element Method for Fluid-Structure Interaction

Course Description

Course information provided by the 2019-2020 Catalog.

We review the basis of finite element analysis (FEA), such as shape function construction and the continuous Galerkin method. The initial focus will be on FEA for the convection-diffusion equation, streamline upwind Petrov-Galerkin formulation, FEA for the Stokes problem and the Navier-Stokes equations, and variational multiscale method. We then introduce the weak formulation of structural mechanics, the arbitrary Lagrangian-Eulerian technique, and provide an overview of interface-capturing methods for fluid-structure interaction. If time allows, we will cover generalized-alpha time integration schemes, coupled boundary conditions for lumped-parameter networks, and specialized iterative methods for incompressible flows with an emphasis on cardiovascular applications.

Prerequisites/Corequisites Prerequisite: MAE 3230 or CEE 3310, MAE 3280 or CEE 3720, MAE 4700 or CEE 5720.

Permission Note Graduate standing or permission of instructor; prerequisites are required for undergraduate students.

When Offered Fall (not offered every year).

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