Euler multigrid calculations using a gas-kinetic scheme

Kun Xu; Luigi Martinelli; Antony Jameson

Euler multigrid calculations using a gas-kinetic scheme

Kun Xu, Luigi Martinelli, Antony Jameson

Research output: Contribution to conference › Paper › peer-review

Abstract

Starting from the BGK model [1], anew gas-kinetic scheme is developed for computing steady state solutions to the Euler equations. The discretization has been implemented in a well developed multi-grid time-stepping algorithm, and it has been applied to the solution of typical transonic, flow over two dimensional airfoils. The gas-kinetic formulation used in this work exhibits some similarities with classical discretizations obtained by flux-vector splitting and flux-difference splitting, as well as the SLIP (Symmetric Limited Positive) scheme of Jameson [8, 9]. An important feature of the present scheme is that it can be shown that the entropy condition is always satisfied. The numerical test cases confirm the accuracy and robustness of. the current scheme.

Original language	English (US)
State	Published - 1995
Externally published	Yes
Event	33rd Aerospace Sciences Meeting and Exhibit, 1995 - Reno, United States Duration: Jan 9 1995 → Jan 12 1995

Other

Other	33rd Aerospace Sciences Meeting and Exhibit, 1995
Country/Territory	United States
City	Reno
Period	1/9/95 → 1/12/95

All Science Journal Classification (ASJC) codes

Space and Planetary Science
Aerospace Engineering

Cite this

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title = "Euler multigrid calculations using a gas-kinetic scheme",

abstract = "Starting from the BGK model [1], anew gas-kinetic scheme is developed for computing steady state solutions to the Euler equations. The discretization has been implemented in a well developed multi-grid time-stepping algorithm, and it has been applied to the solution of typical transonic, flow over two dimensional airfoils. The gas-kinetic formulation used in this work exhibits some similarities with classical discretizations obtained by flux-vector splitting and flux-difference splitting, as well as the SLIP (Symmetric Limited Positive) scheme of Jameson [8, 9]. An important feature of the present scheme is that it can be shown that the entropy condition is always satisfied. The numerical test cases confirm the accuracy and robustness of. the current scheme.",

author = "Kun Xu and Luigi Martinelli and Antony Jameson",

note = "Publisher Copyright: {\textcopyright} 1995, by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.; 33rd Aerospace Sciences Meeting and Exhibit, 1995 ; Conference date: 09-01-1995 Through 12-01-1995",

year = "1995",

language = "English (US)",

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TY - CONF

T1 - Euler multigrid calculations using a gas-kinetic scheme

AU - Xu, Kun

AU - Martinelli, Luigi

AU - Jameson, Antony

PY - 1995

Y1 - 1995

N2 - Starting from the BGK model [1], anew gas-kinetic scheme is developed for computing steady state solutions to the Euler equations. The discretization has been implemented in a well developed multi-grid time-stepping algorithm, and it has been applied to the solution of typical transonic, flow over two dimensional airfoils. The gas-kinetic formulation used in this work exhibits some similarities with classical discretizations obtained by flux-vector splitting and flux-difference splitting, as well as the SLIP (Symmetric Limited Positive) scheme of Jameson [8, 9]. An important feature of the present scheme is that it can be shown that the entropy condition is always satisfied. The numerical test cases confirm the accuracy and robustness of. the current scheme.

AB - Starting from the BGK model [1], anew gas-kinetic scheme is developed for computing steady state solutions to the Euler equations. The discretization has been implemented in a well developed multi-grid time-stepping algorithm, and it has been applied to the solution of typical transonic, flow over two dimensional airfoils. The gas-kinetic formulation used in this work exhibits some similarities with classical discretizations obtained by flux-vector splitting and flux-difference splitting, as well as the SLIP (Symmetric Limited Positive) scheme of Jameson [8, 9]. An important feature of the present scheme is that it can be shown that the entropy condition is always satisfied. The numerical test cases confirm the accuracy and robustness of. the current scheme.

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M3 - Paper

AN - SCOPUS:84963604688

T2 - 33rd Aerospace Sciences Meeting and Exhibit, 1995

Y2 - 9 January 1995 through 12 January 1995

ER -

Euler multigrid calculations using a gas-kinetic scheme

Abstract

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All Science Journal Classification (ASJC) codes

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