Fluid-Structure Interaction via an Adaptive Finite Element Immersed Boundary Method

Daniele Boffi, Luca Heltai, Lucia Gastaldi, Charles S. Peskin

Abstract


The immersed boundary (IB) method is a mathematical formulation for fluid-structure interaction problems,
where immersed incompressible visco-elastic bodies or boundaries interact with an incompressible fluid.

The original numerical scheme associated to the IB method requires a smoothed approximation of the Dirac
delta distribution to link the moving Lagrangian domain with the fixed Eulerian one.

We present an adaptive version of the finite element immersed boundary method, where the Dirac delta
distribution is treated in a variational way, eliminating the need to approximate it.

[DOI: 10.1685 / CSC06022] About DOI

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DOI: http://dx.doi.org/10.1685/




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