A MONOLITHIC DIVERGENCE-CONFORMING HDG SCHEME FOR A LINEAR FLUID-STRUCTURE INTERACTION MODEL

被引：4
作者：
FU, G. U. O. S. H. E. N. G. [1 ]
KUANG, W. E. N. Z. H. E. N. G. [1 ]
机构：
[1] Univ Notre Dame, Dept Appl & Computat Math & Stat, Notre Dame, IN 46556 USA
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 2022年 / 60卷 / 02期
基金：
美国国家科学基金会;
关键词：
divergence-conforming HDG; FSI; thick structure; block preconditioner; DISCONTINUOUS GALERKIN METHODS; PRECONDITIONERS; ALGORITHMS; FORMULATION;
D O I：
10.1137/20M1385950
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a novel monolithic divergence-conforming HDG scheme for a linear fluid-structure interaction 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 preconditioner.
引用
收藏
页码：631 / 658
页数：28
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