A space-time discontinuous Galerkin finite-element discretization of the Euler equations using entropy variables


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Pesch, Lars and Vegt van der, Jaap J.W. (2006) A space-time discontinuous Galerkin finite-element discretization of the Euler equations using entropy variables. In: European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2006, 5-8 Sep 2006, Egmond aan Zee, The Netherlands.

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Abstract:A method to numerically solve the Euler equations for fluids with general equations of state is presented. It is based on a formulation solving the conservation equations for either pressure primitive variables or entropy variables, instead of the commonly used conservation variables. We use a space-time discontinuous Galerkin finite-element discretization, which yields a highly local, potentially higher-order scheme. The algorithm is applied to test cases for compressible fluids to demonstrate its capabilities and the performance of the different variable sets.
Item Type:Conference or Workshop Item
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Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/65616
Official URL:http://proceedings.fyper.com/eccomascfd2006/htmlfiles/187.html
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