Discontinuous Galerkin Method for the Solution of Elasto-Dynamic and Fluid-Structure Interaction Problems

被引：0
|
作者：
Feistauer, Miloslav [1 ]
Hadrava, Martin [1 ]
Kosik, Adam [1 ,2 ]
Horacek, Jaromir [3 ]
机构：
[1] Charles Univ Prague, Fac Math & Phys, Sokolovska 83, Prague 18675 8, Czech Republic
[2] Univ Dortmund, LS 3,Vogelpothsweg 87, D-44277 Dortmund, Germany
[3] Acad Sci Czech Republ, Inst Thermomech, Vvi, Dolejskova 1402-5, Prague 18200 8, Czech Republic
来源：
NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS (ENUMATH 2015) | 2016年 / 112卷
关键词：
D O I：
10.1007/978-3-319-39929-4_16
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the numerical solution of dynamic elasticity by the discontinuous Galerkin (dG) method. We consider the linear and nonlinear St. Venant-Kirchhoff model. The dynamic elasticity problem is split into two systems of first order in time. They are discretized by the discontinuous Galerkin method in space and backward difference formula in time. The developed method is tested by numerical experiments. Then the method is combined with the space-time dG method for the solution of compressible flow in a time dependent domain and used for the numerical simulation of fluid-structure interaction.
引用
收藏
页码：155 / 163
页数：9
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