Space-time discontinuous Galerkin method for dynamics of solids

被引:4
作者
Aksoy, H. G. [1 ]
Senocak, E. [1 ]
机构
[1] Istanbul Tech Univ, Dept Engn Mech, TR-34437 Istanbul, Turkey
来源
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 2008年 / 24卷 / 12期
关键词
finite element method; discontinuous Galerkin; wave propagation;
D O I
10.1002/cnm.1075
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this study, a space-time discontinuous Galerkin formulation is derived for dynamic analysis of solids. Numerical implementation of proposed formulation is presented, and numerical examples are provided for shock wave propagation problems. Numerical results are compared with that of the known exact solutions of the problems and numerical results obtained from a commercial finite element code. The proposed space-time discontinuous Galerkin formulation is found to be robust and Successful in modelling transient problems, i.e. shock wave propagation problems. Copyright (C) 2007 John Wiley & Sons, Ltd.
引用
收藏
页码:1887 / 1907
页数:21
相关论文
共 29 条
[1]   A space-time discontinuous Galerkin method for linearized elastodynamics with element-wise momentum balance [J].
Abedi, R. ;
Petracovici, B. ;
Haber, R. B. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2006, 195 (25-28) :3247-3273
[2]   Space-time discontinuous Galerkin method for linear elastodynamics [J].
Aksoy, H. G. ;
Senocak, E. .
JOURNAL OF AEROSPACE ENGINEERING, 2007, 20 (02) :128-131
[3]  
Aksoy H G, 2004, P EARTH SPAC 2004 EN, P532
[4]  
*ANSYS INC, 1999, ANSYS REF MAN
[5]  
Bauchau OA, 1999, INT J NUMER METH ENG, V45, P693, DOI 10.1002/(SICI)1097-0207(19990630)45:6<693::AID-NME596>3.0.CO
[6]  
2-D
[7]  
BAUMANM CE, 1997, THESIS U TEXAS AUSTI
[8]   Conservation properties of a time FE method - part II: Time-stepping schemes for non-linear elastodynamics [J].
Betsch, P ;
Steinmann, P .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2001, 50 (08) :1931-1955
[9]   Iterative solutions for implicit Time Discontinuous Galerkin methods applied to non-linear elastodynamics [J].
Bonelli, A ;
Bursi, OS .
COMPUTATIONAL MECHANICS, 2003, 30 (5-6) :487-498
[10]   SPACE-TIME ELEMENTS FOR THE SHOCK-WAVE PROPAGATION PROBLEM [J].
CELLA, A ;
LUCCHESI, M ;
PASQUINELLI, G .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1980, 15 (10) :1475-1488