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

页码：631 / 658

页数：28

共 52 条

[1] Fully Computable a Posteriori Error Bounds for Hybridizable Discontinuous Galerkin Finite Element Approximations
Ainsworth, Mark
Fu, Guosheng
[J]. JOURNAL OF SCIENTIFIC COMPUTING, 2018, 77 (01) : 443 - 466
[2] Modular vs. non-modular preconditioners for fluid-structure systems with large added-mass effect
Badia, Santiago
Quaini, Annalisa
Quarteroni, Alfio
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2008, 197 (49-50) : 4216 - 4232
[3] An added-mass partition algorithm for fluid-structure interactions of compressible fluids and nonlinear solids
Banks, J. W.
Henshaw, W. D.
Kapila, A. K.
Schwendeman, D. W.
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 305 : 1037 - 1064
[4] Boffi D., 2013, MIXED FINITE ELEMENT, V44
[5] Iterative techniques for time dependent Stokes problems
Bramble, JH
Pasciak, JE
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1997, 33 (1-2) : 13 - 30
[6] A modular, operator-splitting scheme for fluid-structure interaction problems with thick structures
Bukac, M.
Canic, S.
Glowinski, R.
Muha, B.
Quaini, A.
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2014, 74 (08) : 577 - 604
[7] Bukac M., 2020, PREPRINT ARXIV200812
[8] BUNGARTZ H.-J, 2006, FLUID STRUCTURE INTE, V53
[9] Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility
Burman, Erik
Fernandez, Miguel A.
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2009, 198 (5-8) : 766 - 784
[10] SOME FAST 3D FINITE-ELEMENT SOLVERS FOR THE GENERALIZED STOKES PROBLEM
CAHOUET, J
CHABARD, JP
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1988, 8 (08) : 869 - 895

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