Improved shock-capturing of Jameson's scheme for the Euler equations

J.W. van der Burg; J.G.M. Kuerten; P.J. Zandbergen

doi:10.1002/fld.1650150603

Improved shock-capturing of Jameson's scheme for the Euler equations

J.W. van der Burg, J.G.M. Kuerten, P.J. Zandbergen

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Abstract

It is known that Jameson's scheme is a pseudo-second-order-accurate scheme for solving discrete conservation laws. The scheme contains a non-linear artificial dissipative flux which is designed to capture shocks. In this paper, it is shown that the, shock-capturing of Jameson's scheme for the Euler equations can be improved by replacing the Lax-Friedrichs' type of dissipative flux with Roe's dissipative flux. This replacement is at a moderate expense of the calculation time.

Original language	English
Pages (from-to)	649-671
Journal	International journal for numerical methods in fluids
Volume	15
Issue number	6
DOIs	https://doi.org/10.1002/fld.1650150603
Publication status	Published - 1992

Keywords

Conservation laws
Runge-Kutta
Multigrid

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title = "Improved shock-capturing of Jameson's scheme for the Euler equations",

abstract = "It is known that Jameson's scheme is a pseudo-second-order-accurate scheme for solving discrete conservation laws. The scheme contains a non-linear artificial dissipative flux which is designed to capture shocks. In this paper, it is shown that the, shock-capturing of Jameson's scheme for the Euler equations can be improved by replacing the Lax-Friedrichs' type of dissipative flux with Roe's dissipative flux. This replacement is at a moderate expense of the calculation time.",

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author = "{van der Burg}, J.W. and J.G.M. Kuerten and P.J. Zandbergen",

year = "1992",

doi = "10.1002/fld.1650150603",

language = "English",

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journal = "International journal for numerical methods in fluids",

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T1 - Improved shock-capturing of Jameson's scheme for the Euler equations

AU - van der Burg, J.W.

AU - Kuerten, J.G.M.

AU - Zandbergen, P.J.

PY - 1992

Y1 - 1992

N2 - It is known that Jameson's scheme is a pseudo-second-order-accurate scheme for solving discrete conservation laws. The scheme contains a non-linear artificial dissipative flux which is designed to capture shocks. In this paper, it is shown that the, shock-capturing of Jameson's scheme for the Euler equations can be improved by replacing the Lax-Friedrichs' type of dissipative flux with Roe's dissipative flux. This replacement is at a moderate expense of the calculation time.

AB - It is known that Jameson's scheme is a pseudo-second-order-accurate scheme for solving discrete conservation laws. The scheme contains a non-linear artificial dissipative flux which is designed to capture shocks. In this paper, it is shown that the, shock-capturing of Jameson's scheme for the Euler equations can be improved by replacing the Lax-Friedrichs' type of dissipative flux with Roe's dissipative flux. This replacement is at a moderate expense of the calculation time.

KW - Conservation laws

KW - Runge-Kutta

KW - Multigrid

U2 - 10.1002/fld.1650150603

DO - 10.1002/fld.1650150603

M3 - Article

VL - 15

SP - 649

EP - 671

JO - International journal for numerical methods in fluids

JF - International journal for numerical methods in fluids

SN - 0271-2091

IS - 6

ER -

Improved shock-capturing of Jameson's scheme for the Euler equations

Abstract

Keywords

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