Space-time discontinuous galerkin method based on a new generalized flux vector splitting method for multi-dimensional nonlinear hyperbolic systems

被引：0
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作者：
Trapper, P.A. [1 ]
Bar-Yoseph, P.Z. [2 ]
机构：
[1] Department of Civil Environmental and Geomatic Engineering, ETH Zurich, Swiss Federal Institute of Technology, Zurich, Switzerland
[2] Faculty of Mechanical Engineering, Technion - Israel Institute of Technology, Haifa, Israel
来源：
CMES - Computer Modeling in Engineering and Sciences | 2014年 / 103卷 / 01期
关键词：
Finite element method - Vector spaces - Galerkin methods - Nonlinear equations;
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摘要：
The space-time discontinuous Galerkin method for multi-dimensional nonlinear hyperbolic systems is enhanced with a generalized technique for splitting a flux vector that is not limited to the homogeneity property of the flux. This technique, based on the flux's characteristic decomposition, extends the scope of the method's applicability to a wider range of problems, including elastodynamics. The method is used for numerical solution of a number of representative problems based on models of vibrating string and vibrating rod that involve the propagation of a sharp front through the solution domain. Copyright © 2014 Tech Science Press.
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页码：19 / 47
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