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A monolithic divergence-conforming HDG scheme for a linear fluid-structure interaction model

11/30/2020

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by Guosheng Fu, et al.

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We present a novel monolithic divergence-conforming HDG scheme for a linear fluid-structure interaction (FSI) problem with a thick structure. A pressure-robust optimal energy-norm estimate is obtained for the semidiscrete scheme. When combined with a Crank-Nicolson time discretization, our fully discrete scheme is energy stable and produces an exactly divergence-free fluid velocity approximation. The resulting linear system, which is symmetric and indefinite, is solved using a preconditioned MinRes method with a robust block algebraic multigrid (AMG) preconditioner.

Guosheng Fu
17 publications
Wenzheng Kuang
4 publications

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