Robin-Robin preconditioned Krylov methods for fluid-structure interaction problems

被引：87

作者：

Badia, Santiago ^{[2
]}

Nobile, Fabio ^{[3
]}

Vergara, Christian ^{[1
]}

机构：

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

[2] Univ Politecn Cataluna, Int Ctr Numer Methods Engn CIMNE, ES-08034 Barcelona, Spain

[3] Politecn Milan, Dipartimento Matemat, MOX, I-20133 Milan, Italy

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2009年 / 198卷 / 33-36期

关键词：

Fluid-structure interaction; Partitioned procedures; Domain decomposition preconditioners; Robin boundary conditions; Added-mass effect; Hemodynamics; Enclosed fluid problems; ADVECTION-DIFFUSION EQUATIONS; FINITE-ELEMENT-METHOD; PARTITIONED PROCEDURES; ALGORITHMS; FACTORIZATION; FORMULATION; SOLVER;

D O I：

10.1016/j.cma.2009.04.004

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this work, we propose a Robin-Robin preconditioner combined with Krylov iterations for the solution of the interface system arising in fluid-structure interaction (FSI) problems. It can be seen as a partitioned FSI procedure and in this respect it generalizes the ideas introduced in [S. Badia, F. Nobile, C. Vergara, J. Comput. Phys. 227 (2008) 7027-7051]. We analyze the convergence of GMRES iterations with the Robin-Robin preconditioner on a model problem and compare its efficiency with some existing algorithms. The method is shown to be very efficient for many challenging fluid-structure interaction problems, such as those characterized by a large added-mass effect or by enclosed fluids. In particular, the possibility to solve balloon-type problems without any special treatment makes this algorithm very appealing compared to the computationally intensive existing approaches. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：2768 / 2784

页数：17

共 44 条

[1] Coercive domain decomposition algorithms for advection-diffusion equations and systems [J].

Alonso, A ;

Trotta, RL ;

Valli, A .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1998, 96 (01) :51-76

[2]

[Anonymous], 1996, Iterative Methods for Sparse Linear Systems

[3]

BADIA S, COUPLING BIOT UNPUB

[4] Modular vs. non-modular preconditioners for fluid-structure systems with large added-mass effect [J].

Badia, Santiago ;

Quaini, Annalisa ;

Quarteroni, Alfio .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2008, 197 (49-50) :4216-4232

[5] Splitting methods based on algebraic factorization for fluid-structure interaction [J].

Badia, Santiago ;

Quaini, Annalisa ;

Quarteroni, Alfio .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2008, 30 (04) :1778-1805

[6] Fluid-structure partitioned procedures based on Robin transmission conditions [J].

Badia, Santiago ;

Nobile, Fabio ;

Vergara, Christian .

JOURNAL OF COMPUTATIONAL PHYSICS, 2008, 227 (14) :7027-7051

[7] Isogeometric fluid-structure interaction: theory, algorithms, and computations [J].

Bazilevs, Y. ;

Calo, V. M. ;

Hughes, T. J. R. ;

Zhang, Y. .

COMPUTATIONAL MECHANICS, 2008, 43 (01) :3-37

[8] Isogeometric fluid-structure interaction analysis with applications to arterial blood flow [J].

Bazilevs, Y. ;

Calo, V. M. ;

Zhang, Y. ;

Hughes, T. J. R. .

COMPUTATIONAL MECHANICS, 2006, 38 (4-5) :310-322

[9] Stabilized explicit coupling for fluid-structure interaction using Nitsche's method [J].

Burman, Erik ;

Fernandez, Miguel A. .

COMPTES RENDUS MATHEMATIQUE, 2007, 345 (08) :467-472

[10] Added-mass effect in the design of partitioned algorithms for fluid-structure problems [J].

Causin, P ;

Gerbeau, JF ;

Nobile, F .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2005, 194 (42-44) :4506-4527

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