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.
|Title of host publication||Proceedings of the European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2006|
|Editors||P. Wesseling, E Onate, J. Periaux|
|Place of Publication||Delft|
|Publisher||Delft University of Technology|
|Number of pages||8|
|Publication status||Published - Sep 2006|
|Event||4th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2006 - Egmond aan Zee, Netherlands|
Duration: 5 Sep 2006 → 8 Sep 2006
Conference number: 4
|Conference||4th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2006|
|Abbreviated title||ECCOMAS ECFD|
|City||Egmond aan Zee|
|Period||5/09/06 → 8/09/06|
Pesch, L., & van der Vegt, J. J. W. (2006). A space-time discontinuous Galerkin finite-element discretization of the Euler equations using entropy variables. In P. Wesseling, E. Onate, & J. Periaux (Eds.), Proceedings of the European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2006 (pp. -). Delft: Delft University of Technology.