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Space-time Discontinuous Galerkin Method Based on a New Generalized Flux Vector Splitting Method for Multi-dimensional Nonlinear Hyperbolic Systems

P.A. Trapper1, P.Z. Bar-Yoseph2
Department of Civil, Environmental & Geomatic Engineering, ETH Zurich - Swiss Federal Institute of Technology, Zurich, Switzerland.
Faculty of Mechanical Engineering, Technion - Israel Institute of Technology, Haifa, Israel.

Computer Modeling in Engineering & Sciences 2014, 103(1), 19-47. https://doi.org/10.3970/cmes.2014.103.019

Abstract

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.

Keywords

Space-Time Finite Element Method, Discontinuous Galerkin, Flux Vector Splitting, Elastodynamics, Hyperbolic Partial Differential Equations, Eulerian Formulation.

Cite This Article

Trapper, P., Bar-Yoseph, P. (2014). Space-time Discontinuous Galerkin Method Based on a New Generalized Flux Vector Splitting Method for Multi-dimensional Nonlinear Hyperbolic Systems. CMES-Computer Modeling in Engineering & Sciences, 103(1), 19–47.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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