A Normal Mode Stability Analysis of Numerical Interface Conditions for Fluid/Structure Interaction

作     者：J.W.Banks B.Sjogreen 

作者机构：Center for Applied Scientific ComputingLawrence Livermore National LaboratoryLivermoreCA 94551USA 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2011年第10卷第7期

页      面：279-304页

核心收录：

学科分类：07[理学] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 070101[理学-基础数学] 

基　　金：supported by Lawrence Livermore National Laboratory under the auspices of the U.S.Department of Energy through contract number DE-AC52-07NA27344 

主　　题：Finite difference method normal mode analysis fluid/structure interaction compressible fluid interface condition 

摘      要：In multi physics computations where a compressible fluid is coupled with a linearly elastic solid,it is standard to enforce continuity of the normal velocities and of the normal stresses at the interface between the fluid and the *** a numerical scheme,there are many ways that velocity-and stress-continuity can be enforced in the discrete *** paper performs a normal mode stability analysis of the linearized problem to investigate the stability of different numerical interface conditions for a model problem approximated by upwind type finite difference *** analysis shows that depending on the ratio of densities between the solid and the fluid,some numerical interface conditions are stable up to the maximal CFL-limit,while other numerical interface conditions suffer from a severe reduction of the stable *** paper also presents a new interface condition,obtained as a simplified characteristic boundary condition,that is proved to not suffer from any reduction of the stable *** experiments in one space dimension show that the new interface condition is stable also for computations with the non-linear Euler equations of compressible fluid flow coupled with a linearly elastic solid.