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...
| Main Authors: | , , , |
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| Format: | Proceeding Paper |
| Language: | English |
| Published: |
2004
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/6018/ http://irep.iium.edu.my/6018/1/BGK_scheme.pdf |
| _version_ | 1848776600575803392 |
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| 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 |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T14:32:40Z |
| format | Proceeding Paper |
| id | iium-6018 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:32:40Z |
| publishDate | 2004 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | 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 Proceeding Paper 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. |
| spellingShingle | 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 |
| title | 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_short | 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 |
| topic | TL500 Aeronautics |
| url | http://irep.iium.edu.my/6018/ http://irep.iium.edu.my/6018/1/BGK_scheme.pdf |