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

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

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

L. Pesch
, J.J.W. van der Vegt

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	English
Title of host publication	Proceedings ECCOMAS CFD 2006
Subtitle of host publication	European Conference on Computational Fluid Dynamics, September 5-8, 2006 Egmond aan Zee, The Netherlands
Editors	P. Wesseling, E Onate, J. Periaux
Place of Publication	Delft
Publisher	Delft University of Technology
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

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

Euler equations
Discontinuous Galerkin
Compressible/Incompressible fluids
Entropy variables
Equation of state

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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 ECCOMAS CFD 2006: European Conference on Computational Fluid Dynamics, September 5-8, 2006 Egmond aan Zee, The Netherlands Delft University of Technology.

Pesch, L. ; van der Vegt, J.J.W. / A space-time discontinuous Galerkin finite-element discretization of the Euler equations using entropy variables. Proceedings ECCOMAS CFD 2006: European Conference on Computational Fluid Dynamics, September 5-8, 2006 Egmond aan Zee, The Netherlands. editor / P. Wesseling ; E Onate ; J. Periaux. Delft : Delft University of Technology, 2006.

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

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.",

keywords = "Euler equations, Discontinuous Galerkin, Compressible/Incompressible fluids, Entropy variables, Equation of state",

author = "L. Pesch and \{van der Vegt\}, J.J.W.",

year = "2006",

month = sep,

language = "English",

isbn = "90-9020970-0",

editor = "P. Wesseling and E Onate and J. Periaux",

booktitle = "Proceedings ECCOMAS CFD 2006",

publisher = "Delft University of Technology",

address = "Netherlands",

note = "4th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2006, ECCOMAS ECFD ; Conference date: 05-09-2006 Through 08-09-2006",

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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 ECCOMAS CFD 2006: European Conference on Computational Fluid Dynamics, September 5-8, 2006 Egmond aan Zee, The Netherlands. Delft University of Technology, Delft, 4th European Conference on Computational Fluid Dynamics, ECCOMAS ECFD 2006, Egmond aan Zee, Netherlands, 5/09/06.

A space-time discontinuous Galerkin finite-element discretization of the Euler equations using entropy variables. / Pesch, L.; van der Vegt, J.J.W.
Proceedings ECCOMAS CFD 2006: European Conference on Computational Fluid Dynamics, September 5-8, 2006 Egmond aan Zee, The Netherlands. ed. / P. Wesseling; E Onate; J. Periaux. Delft: Delft University of Technology, 2006.

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

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

AU - Pesch, L.

AU - van der Vegt, J.J.W.

N1 - Conference code: 4

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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 - Discontinuous Galerkin

KW - Compressible/Incompressible fluids

KW - Entropy variables

KW - Equation of state

M3 - Conference contribution

SN - 90-9020970-0

BT - Proceedings 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

ER -

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

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