An Immersed Boundary Method Based on the L 2 -Projection Approach

In this paper we present a framework for Fluid-Structure Interaction simulations. Taking inspiration from the Immersed Boundary technique introduced by Peskin (J Comput Phys 10(2):252–271, 1972) we employ the finite element method for discretizing the equations of the solid structure and the finite difference method for discretizing the fluid flow. The two discretizations are coupled by using a volume based L2-projection approach to transfer elastic forces and velocities between the fluid and the solid domain. We present results for a Fluid–Structure Interaction benchmark which describes self-induced oscillating deformations of an elastic beam in a flow channel.

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