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

L. Pesch; Jacobus J.W. van der Vegt

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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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.

Original language	Undefined
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 - Sept 2006
Event	4th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2006 - Egmond aan Zee, Netherlands Duration: 5 Sept 2006 → 8 Sept 2006 Conference number: 4

Publication series

Name
Publisher	TU Delft
Number	2

Conference

Conference	4th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2006
Abbreviated title	ECCOMAS ECFD
Country/Territory	Netherlands
City	Egmond aan Zee
Period	5/09/06 → 8/09/06

Keywords

METIS-238014
IR-65616
EWI-2772

Access to Document

http://proceedings.fyper.com/eccomascfd2006/htmlfiles/187.html

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 University of Technology. http://proceedings.fyper.com/eccomascfd2006/htmlfiles/187.html

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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.",

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year = "2006",

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booktitle = "Proceedings of the European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2006",

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Pesch, L & van der Vegt, JJW 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. Delft University of Technology, Delft, pp. -, 4th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2006, Egmond aan Zee, Netherlands, 5/09/06. <http://proceedings.fyper.com/eccomascfd2006/htmlfiles/187.html>

A space-time discontinuous Galerkin finite-element discretization of the Euler equations using entropy variables. / Pesch, L.; van der Vegt, Jacobus J.W.
Proceedings of the European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2006. ed. / P. Wesseling; E Onate; J. Periaux. Delft: Delft University of Technology, 2006. p. -.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - A space-time discontinuous Galerkin finite-element discretization of the Euler equations using entropy variables

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AU - van der Vegt, Jacobus J.W.

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PY - 2006/9

Y1 - 2006/9

N2 - 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.

AB - 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.

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KW - IR-65616

KW - EWI-2772

M3 - Conference contribution

SN - 90-9020970-0

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BT - Proceedings of the European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2006

A2 - Wesseling, P.

A2 - Onate, E

A2 - Periaux, J.

PB - Delft University of Technology

CY - Delft

T2 - 4th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2006

Y2 - 5 September 2006 through 8 September 2006

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