Fluid-structure partitioned procedures based on Robin transmission conditions

被引：204

作者：

Badia, Santiago ^{[1
]}

Nobile, Fabio ^{[2
]}

Vergara, Christian ^{[2
,3
]}

机构：

[1] Univ Politecn Cataluna, CIMNE, ES-08034 Barcelona, Spain

[2] Politecn Milan, MOX, Dipartimento Matemat F Brioschi, I-20133 Milan, Italy

[3] Univ Bergamo, Dept Informat Technol & Math Methods, I-24044 Dalmine, BG, Italy

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2008年 / 227卷 / 14期

关键词：

fluid-structure interaction; partitioned procedures; transmission conditions; Robin boundary conditions; added-mass effect; hemodynamics;

D O I：

10.1016/j.jcp.2008.04.006

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this article we design new partitioned procedures for fluid-structure interaction problems, based on Robin-type transmission conditions. The choice of the coefficient in the Robin conditions is justified via simplified models. The strategy is effective whenever an incompressible fluid interacts with a relatively thin membrane, as in hemodynamics applications. We analyze theoretically the new iterative procedures on a model problem, which represents a simplified blood-vessel system. In particular, the Robin-Neumann scheme exhibits enhanced convergence properties with respect to the existing partitioned procedures. The theoretical results are checked using numerical experimentation. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：7027 / 7051

页数：25

共 20 条

[1] [Anonymous], 2000, EUR J COMPUT MECH
[2] [Anonymous], 2001, First MIT Conference on Computational Fluid and Solid Mechanics, DOI [10.1016/b978-008043944-0/50907-0, DOI 10.1016/B978-008043944-0/50907-0]
[3] [Anonymous], 2004, THESIS ECOLE POLYTEC
[4] Splitting methods based on algebraic factorization for fluid-structure interaction
Badia, Santiago
Quaini, Annalisa
Quarteroni, Alfio
[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2008, 30 (04) : 1778 - 1805
[5] FINITE-ELEMENT ANALYSIS OF INCOMPRESSIBLE AND COMPRESSIBLE FLUID-FLOWS WITH FREE SURFACES AND STRUCTURAL INTERACTIONS
BATHE, KJ
ZHANG, H
WANG, MH
[J]. COMPUTERS & STRUCTURES, 1995, 56 (2-3) : 193 - 213
[6] Added-mass effect in the design of partitioned algorithms for fluid-structure problems
Causin, P
Gerbeau, JF
Nobile, F
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2005, 194 (42-44) : 4506 - 4527
[7] Fluid-structure algorithms based on Steklov-Poincare operators
Deparis, Simone
Discacciati, Marco
Fourestey, Gilles
Quarteroni, Alfio
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2006, 195 (41-43) : 5797 - 5812
[8] AN ARBITRARY LAGRANGIAN-EULERIAN FINITE-ELEMENT METHOD FOR TRANSIENT DYNAMIC FLUID STRUCTURE INTERACTIONS
DONEA, J
GUILIANI, S
HALLEUX, JP
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1982, 33 (1-3) : 689 - 723
[9] A projection semi-implicit scheme for the coupling of an elastic structure with an incompressible fluid
Fernandez, M. A.
Gerbeau, J. -F.
Grandmont, C.
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2007, 69 (04) : 794 - 821
[10] A Newton method using exact jacobians for solving fluid-structure coupling
Fernández, MA
Moubachir, M
[J]. COMPUTERS & STRUCTURES, 2005, 83 (2-3) : 127 - 142

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