Partitioned but strongly coupled iteration schemes for nonlinear fluid-structure interaction

被引:85
作者
Matthies, HG [1 ]
Steindorf, J [1 ]
机构
[1] Tech Univ Braunschweig, Inst Comp Sci, D-38092 Braunschweig, Germany
关键词
D O I
10.1016/S0045-7949(02)00259-6
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We look at the computational procedure of computing the response of a coupled fluid-structure interaction problem. We use the so-called strong fluid-structure coupling-a totally implicit formulation. At each time step in an implicit formulation, new values for the solution variables have to be computed by solving a nonlinear system of equations, where we assume that we have solvers for the subproblems. This is often the case, when we have existing software to solve each subproblem separately, and want to couple both. We show how to solve the overall nonlinear system by using only the solvers for the subproblems. This is achieved not by considering the equilibrium equations, but the fixed-point problem resulting from the solution iteration for each of the subproblems. (C) 2002 Civil-Comp Ltd. and Elsevier Science Ltd. All tights reserved.
引用
收藏
页码:1991 / 1999
页数:9
相关论文
共 19 条
[1]  
ARTLICH S, 1995, NUMERICAL TREATMENT
[2]  
BARRET R, 2001, TEMPLATES SOLUTION L
[3]   A monolithical fluid-structure interaction algorithm applied to the piston problem [J].
Blom, FJ .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 167 (3-4) :369-391
[4]   AN APPROXIMATE NEWTON METHOD FOR COUPLED NONLINEAR-SYSTEMS [J].
CHAN, TF .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1985, 22 (05) :904-913
[5]  
CODINA R, 1996, ADV COMPUTATIONAL ME
[6]   AN ARBITRARY LAGRANGIAN-EULERIAN FINITE-ELEMENT METHOD FOR TRANSIENT DYNAMIC FLUID STRUCTURE INTERACTIONS [J].
DONEA, J ;
GUILIANI, S ;
HALLEUX, JP .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1982, 33 (1-3) :689-723
[7]   FLUID-STRUCTURE INTERACTION PROBLEMS IN BIO-FLUID MECHANICS - A NUMERICAL STUDY OF THE MOTION OF AN ISOLATED PARTICLE FREELY SUSPENDED IN CHANNEL FLOW [J].
DUBINI, G ;
PIETRABISSA, R ;
MONTEVECCHI, FM .
MEDICAL ENGINEERING & PHYSICS, 1995, 17 (08) :609-617
[8]  
ERRATE D, 1994, CR ACAD SCI I-MATH, V318, P275
[9]   Two efficient staggered algorithms for the serial and parallel solution of three-dimensional nonlinear transient aeroelastic problems [J].
Farhat, C ;
Lesoinne, M .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2000, 182 (3-4) :499-515
[10]  
GRANDMONT C., 1998, THESIS U PARIS 6, VVI