A monolithic divergence-conforming HDG scheme for a linear fluid-structure interaction model
Numerical Analysis
2020-12-02 v1 Numerical Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.2012.00128,
title = {A monolithic divergence-conforming HDG scheme for a linear fluid-structure interaction model},
author = {Guosheng Fu and Wenzheng Kuang},
journal= {arXiv preprint arXiv:2012.00128},
year = {2020}
}
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26 pages