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.
机构:
Univ Fed Rio Grande do Sul, Grad Program Civil Engn PPGEC, BR-90035190 Porto Alegre, RS, BrazilUniv Fed Rio Grande do Sul, Grad Program Civil Engn PPGEC, BR-90035190 Porto Alegre, RS, Brazil
Braun, Alexandre Luis
Awruch, Armando Miguel
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机构:
Univ Fed Rio Grande do Sul, Grad Program Civil Engn PPGEC, BR-90035190 Porto Alegre, RS, BrazilUniv Fed Rio Grande do Sul, Grad Program Civil Engn PPGEC, BR-90035190 Porto Alegre, RS, Brazil
机构:
Penn State Univ, Appl Res Lab, Fluids & Struct Mech Off, State Coll, PA 16804 USAPenn State Univ, Appl Res Lab, Fluids & Struct Mech Off, State Coll, PA 16804 USA
Campbell, R. L.
Paterson, E. G.
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机构:
Penn State Univ, Appl Res Lab, Fluids & Struct Mech Off, State Coll, PA 16804 USAPenn State Univ, Appl Res Lab, Fluids & Struct Mech Off, State Coll, PA 16804 USA
机构:
Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA
Louisiana State Univ, Ctr Computat & Technol, Baton Rouge, LA 70803 USALouisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA
Brenner, Susanne C.
Cesmelioglu, Aycil
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机构:
Oakland Univ, Dept Math & Stat, Rochester, MI 48309 USALouisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA
Cesmelioglu, Aycil
Cui, Jintao
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机构:
Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R ChinaLouisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA
Cui, Jintao
Sung, Li-Yeng
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机构:
Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA
Louisiana State Univ, Ctr Computat & Technol, Baton Rouge, LA 70803 USALouisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA