Applied Math And Analysis Seminar
Monday, February 23, 2009, 4:30pm, 119 Physics
Yoichiro Mori (University of Minnesota, School of Mathematics)
Convergence Proof of a Stokes Flow Immersed Boundary Method

Abstract:

The immersed boundary method is a popular method for computations in fluid-structure interaction problems. It is characterized by the use of an Eulerian grid for the fluid domain and a Lagrangian grid for the elastic structure, and the use of regularized dirac delta functions to establish communication between the two grids. In this talk, I will outline a convergence proof for a stationary Stokes flow immersed boundary problem. Computational results are presented to demonstrate that the error estimates obtained are close to optimal. I will end with a discussion of open problems.

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