The Efficiency of Gas-Kinetic BGK scheme for solving 2-d compressible inviscid regular shock reflection problem
In this paper, the 1st and 2nd order gas-kinetic BGK scheme is developed and tested for its ability in solving the two-dimensional compressible inviscid flow fields. The BGK (Bhatnagar-Gross-Krook) scheme uses the collisional Boltzmann equation as the governing equation for flow evolutions. Second-o...
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iium-60182012-05-11T03:12:56Z http://irep.iium.edu.my/6018/ The Efficiency of Gas-Kinetic BGK scheme for solving 2-d compressible inviscid regular shock reflection problem Ong, Jiunn Chit Omar, Ashraf Ali Asrar, Waqar Hamdan, Megat M. TL500 Aeronautics In this paper, the 1st and 2nd order gas-kinetic BGK scheme is developed and tested for its ability in solving the two-dimensional compressible inviscid flow fields. The BGK (Bhatnagar-Gross-Krook) scheme uses the collisional Boltzmann equation as the governing equation for flow evolutions. Second-order BGK scheme is also developed for flow simulation. This is achieved by means of reconstructing the initial data via MUSCL (Monotone Upstream-Centered Schemes for Conservation Laws) method. In addition, a multisage TVD (Total Variation Diminishing) Runge-Kutta method is employed for the time integration of the finite volume gas-kinetic scheme. A typical two-dimensional regular reflection of an oblique shock wave from a solid surface is chosen for testing the accuracy and robustness of the BGK scheme. The computational results are validated against the numerical results of Roe’s scheme. 2004-07 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/6018/1/BGK_scheme.pdf Ong, Jiunn Chit and Omar, Ashraf Ali and Asrar, Waqar and Hamdan, Megat M. (2004) The Efficiency of Gas-Kinetic BGK scheme for solving 2-d compressible inviscid regular shock reflection problem. In: European Congress on Computational Methods in Applied Sciences and Engineering, 24-28 July 2004 , Jyvaskyla, Findland. |
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TL500 Aeronautics Ong, Jiunn Chit Omar, Ashraf Ali Asrar, Waqar Hamdan, Megat M. The Efficiency of Gas-Kinetic BGK scheme for solving 2-d compressible inviscid regular shock reflection problem |
description |
In this paper, the 1st and 2nd order gas-kinetic BGK scheme is developed and tested for its ability in solving the two-dimensional compressible inviscid flow fields. The BGK (Bhatnagar-Gross-Krook) scheme uses the collisional Boltzmann equation as the governing equation for flow evolutions. Second-order BGK scheme is also developed for flow simulation. This is achieved by means of reconstructing the initial data via MUSCL (Monotone Upstream-Centered Schemes for Conservation Laws) method. In addition, a multisage TVD (Total Variation Diminishing) Runge-Kutta method is employed for the time integration of the finite volume gas-kinetic scheme. A typical two-dimensional regular reflection of an oblique shock wave from a solid surface is chosen for testing the accuracy and robustness of the BGK scheme. The computational results are validated against the numerical results of Roe’s scheme. |
format |
Conference or Workshop Item |
author |
Ong, Jiunn Chit Omar, Ashraf Ali Asrar, Waqar Hamdan, Megat M. |
author_facet |
Ong, Jiunn Chit Omar, Ashraf Ali Asrar, Waqar Hamdan, Megat M. |
author_sort |
Ong, Jiunn Chit |
title |
The Efficiency of Gas-Kinetic BGK scheme for solving 2-d compressible inviscid regular shock reflection problem |
title_short |
The Efficiency of Gas-Kinetic BGK scheme for solving 2-d compressible inviscid regular shock reflection problem |
title_full |
The Efficiency of Gas-Kinetic BGK scheme for solving 2-d compressible inviscid regular shock reflection problem |
title_fullStr |
The Efficiency of Gas-Kinetic BGK scheme for solving 2-d compressible inviscid regular shock reflection problem |
title_full_unstemmed |
The Efficiency of Gas-Kinetic BGK scheme for solving 2-d compressible inviscid regular shock reflection problem |
title_sort |
efficiency of gas-kinetic bgk scheme for solving 2-d compressible inviscid regular shock reflection problem |
publishDate |
2004 |
url |
http://irep.iium.edu.my/6018/ http://irep.iium.edu.my/6018/1/BGK_scheme.pdf |
first_indexed |
2023-09-18T20:14:50Z |
last_indexed |
2023-09-18T20:14:50Z |
_version_ |
1777407718300057600 |