A Newton method using exact jacobians for solving fluid-structure coupling

被引:216
作者
Fernández, MA
Moubachir, M
机构
[1] Ecole Polytech Fed Lausanne, IACS, CH-1015 Lausanne, Switzerland
[2] Inst Natl Rech Informat & Automat, OPALE, F-06902 Sophia Antipolis, France
关键词
fluid-structure interaction; Navier-Stokes equations; ALE formulation; full coupled schemes; Newton methods; shape sensitivity analysis; haemodynamics;
D O I
10.1016/j.compstruc.2004.04.021
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper aims at introducing a partitioned Newton based method for solving nonlinear coupled systems arising in the numerical approximation of fluid-structure interaction problems. We provide a method which characteristic lies in the use of exact cross jacobians evaluation involving the shape derivative of the fluid state with respect to solid motion perturbations. Numerical tests based on an implementation inside a 3D fluid-structure interaction code show how the exactness of the cross jacobians computation guarantee the overall convergence of the Newton's loop. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:127 / 142
页数:16
相关论文
共 41 条
[1]  
[Anonymous], 2004, THESIS ECOLE POLYTEC
[2]  
ARTLICH S, 1995, NOTES NUMERICAL FLUI, V51, P1
[3]  
BATHE KJ, IN PRESS FINITE ELEM
[4]   UNSTEADY EULER AIRFOIL SOLUTIONS USING UNSTRUCTURED DYNAMIC MESHES [J].
BATINA, JT .
AIAA JOURNAL, 1990, 28 (08) :1381-1388
[5]   On the computational efficiency and implementation of block-iterative algorithms for nonlinear coupled problems [J].
Cervera, M ;
Codina, R ;
Galindo, M .
ENGINEERING COMPUTATIONS, 1996, 13 (06) :4-&
[6]  
Ciarlet P. G., 1988, STUDIES MATH ITS APP, V20, DOI DOI 10.1016/S0168-2024(08)70061-4
[7]  
Ciarlet P.G., 1988, Mathematical Elasticity Volume I: Three-Dimensional Elasticity, V20
[8]   Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions [J].
Deparis, S ;
Fernández, MA ;
Formaggia, L .
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2003, 37 (04) :601-616
[9]  
DEPARIS S, UNPUB GMRES BASED PR
[10]  
DERVIEUX A, 2003, FLUID STRUCTURE INTE, P3