MAE 7400

Finite Element Method for Fluid-Structure Interaction

Course Description

Course information provided by the Courses of Study 2019-2020.

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.

When Offered Fall (not offered every year).

Permission Note Graduate standing or permission of instructor; prerequisites are required for undergraduate students.
Prerequisites/Corequisites Prerequisite: MAE 3230 or CEE 3310, MAE 3280 or CEE 3720, MAE 4700 or CEE 5720.

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