### 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.

Original language | Undefined |
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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 |

Pages | - |

Number of pages | 8 |

ISBN (Print) | 90-9020970-0 |

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 |

### Publication series

Name | |
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Publisher | TU Delft |

Number | 2 |

### Conference

Conference | 4th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2006 |
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Abbreviated title | ECCOMAS ECFD |

Country | Netherlands |

City | Egmond aan Zee |

Period | 5/09/06 → 8/09/06 |

### Keywords

- METIS-238014
- IR-65616
- EWI-2772

## Cite this

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.