Numerical simulation of fluid-structure interaction problems with hyperelastic models: A monolithic approach

被引：17
作者：
Langer, Ulrich [1 ]
Yang, Huidong [1 ]
机构：
[1] Austrian Acad Sci, Johann Radon Inst Computat & Appl Math RICAM, Altenberger Str 69, A-4040 Linz, Austria
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2018年 / 145卷
关键词：
Fluid-structure interaction; Hyperelastic models; Monolithic approach; Algebraic multigrid method; Algebraic multilevel method; FINITE-ELEMENT FORMULATION; ALGORITHMS; PRECONDITIONERS; DISPLACEMENT; FRAMEWORK; SMOOTHERS; SOLVER; NEWTON; GMRES;
D O I：
10.1016/j.matcom.2016.07.008
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, we consider a monolithic approach to handle coupled fluid-structure interaction problems with different hyperelastic models in an all-at-once manner. We apply Newton's method in the outer iteration dealing with nonlinearities of the coupled system. We discuss preconditioned Krylov sub-space, algebraic multigrid and algebraic multilevel methods for solving the linearized algebraic equations. Finally, we compare the results of the monolithic approach with those of the corresponding partitioned approach that was studied in our previous work. (C) 2016 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：186 / 208
页数：23
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