Fluid-structure interaction with H(div)-conforming finite elements

被引：7
作者：
Neunteufel, Michael [1 ]
Schoberl, Joachim [1 ]
机构：
[1] Tech Univ Wien, Inst Anal & Sci Comp, Wiedner Hauptstr 8-10, A-1040 Vienna, Austria
来源：
COMPUTERS & STRUCTURES | 2021年 / 243卷
基金：
奥地利科学基金会;
关键词：
Fluid-structure interaction; Arbitrary Lagrangian Eulerian; Divergence free velocity; Hybrid discontinuous Galerkin; Hp finite element method; DISCONTINUOUS GALERKIN METHODS; STOKES SYSTEM; PART II; FLOW; HYBRIDIZATION; DEFORMATION; SIMULATION; EQUATIONS; ALE;
D O I：
10.1016/j.compstruc.2020.106402
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper a novel application of the (high-order) H(div)-conforming Hybrid Discontinuous Galerkin finite element method for monolithic fluid-structure interaction (FSI) is presented. The Arbitrary Lagrangian Eulerian (ALE) description is derived for H(div)-conforming finite elements including the Piola transformation, yielding exact divergence free fluid velocity solutions. The arising method is demonstrated by means of the benchmark problems proposed by Turek and Hron (2006). With hp-refinement strategies singularities and boundary layers are overcome leading to optimal spatial convergence rates. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：14
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