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

被引：6

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.

引用

页数：14

共 50 条

[21] Modal analysis of fluid-structure interaction problems with pressure-based fluid finite elements for industrial applications
Sigrist, Jean-Francois
INTERNATIONAL JOURNAL OF MULTIPHYSICS, 2007, 1 (01) : 123 - 149
[22] An H(div)-Conforming Finite Element Method for the Biot Consolidation Model
Zeng, Yuping
Cai, Mingchao
Wang, Feng
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2019, 9 (03) : 558 - 579
[23] Investigation into the fluid-structure interaction of a hydraulically damped rubber mount on the basis of finite element analysis
Wang, L-R
Wang, J-C
Lu, Z-H
Hagiwara, I.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART D-JOURNAL OF AUTOMOBILE ENGINEERING, 2009, 223 (D3) : 327 - 342
[24] H(div) conforming methods for the rotation form of the incompressible fluid equations
Chen, Xi
Drapaca, Corina
CALCOLO, 2020, 57 (04)
[25] Permanent fluid-structure interaction with non-conforming interfaces in fast transient dynamics
Casadei, F
Potapov, S
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2004, 193 (39-41) : 4157 - 4194
[26] A low-order divergence-free H(div)-conforming finite element method for Stokes flows
Li, Xu
Rui, Hongxing
IMA JOURNAL OF NUMERICAL ANALYSIS, 2022, 42 (04) : 3711 - 3734
[27] A MONOLITHIC DIVERGENCE-CONFORMING HDG SCHEME FOR A LINEAR FLUID-STRUCTURE INTERACTION MODEL
FU, G. U. O. S. H. E. N. G.
KUANG, W. E. N. Z. H. E. N. G.
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 60 (02) : 631 - 658
[28] Fluid-Structure Interaction
Ohayon, Roger
PROCEEDINGS OF THE 8TH INTERNATIONAL CONFERENCE ON STRUCTURAL DYNAMICS, EURODYN 2011, 2011, : 53 - 59
[29] Fluid-structure interaction for non-conforming interfaces based on a dual mortar formulation
Kloeppel, Thomas
Popp, Alexander
Kuettler, Ulrich
Wall, Wolfgang A.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2011, 200 (45-46) : 3111 - 3126
[30] Finite element analysis of fluid-structure interaction for the design of MAV aerodynamic shape
Yu, Y.
Yang, Q.
Wang, X.
COMPUTERS & FLUIDS, 2013, 76 : 50 - 57

← 1 2 3 4 5 →