A gas-kinetic BGK solver for two-dimensional turbulent compressible flow
In this paper, a gas kinetic solver is developed for the Reynolds Average Navier-Stokes (RANS) equations in two-space dimensions. To our best knowledge, this is the first attempt to extend the application of the BGK (Bhatnagaar-Gross-Krook) scheme to solve RANS equations with a turbulence model usin...
| Main Authors: | , , , |
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| Format: | Proceeding Paper |
| Language: | English |
| Published: |
2008
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/6125/ http://irep.iium.edu.my/6125/1/BGKsolver.pdf |
| _version_ | 1848776613591777280 |
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| author | Ong, Jiunn Chit Omar, Ashraf Ali Asrar, Waqar Ismail, Ahmad Faris |
| author_facet | Ong, Jiunn Chit Omar, Ashraf Ali Asrar, Waqar Ismail, Ahmad Faris |
| author_sort | Ong, Jiunn Chit |
| building | IIUM Repository |
| collection | Online Access |
| description | In this paper, a gas kinetic solver is developed for the Reynolds Average Navier-Stokes (RANS) equations in two-space dimensions. To our best knowledge, this is the first attempt to extend the application of the BGK (Bhatnagaar-Gross-Krook) scheme to solve RANS equations with a turbulence model using finite difference method. The convection flux terms which appear on the left hand side of the RANS equations are discretized by a semi-discrete finite difference method. Then, the resulting inviscid flux functions are approximated by gas-kinetic BGK scheme which is based on the BGK model of the approximate collisional Boltzmann equation. The cell interface values required by the inviscid flux functions are reconstructed to higher-order spatial accuracy via the MUSCL (Monotone Upstream-Centered Schemes for Conservation Laws) variable interpolation method coupled with a minmod limiter. As for the diffusion flux terms, they are discretized by a second-order central difference scheme. To account for the turbulence effect, a combined k-ε / k-ω SST (Shear-Stress Transport) two-equation turbulence model is used in the solver. An explicit-type time integration method known as the modified fourth-order Runge-Kutta method is used to compute steady-state solutions. The computed results for a supersonic flow past a flat plate where the transition is artificially triggered at 50% of plate length are presented in this paper. Validating the computed results against existing analytical solutions and also comparing them with results from other well-known numerical schemes show that a very good agreement is obtained. |
| first_indexed | 2025-11-14T14:32:53Z |
| format | Proceeding Paper |
| id | iium-6125 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:32:53Z |
| publishDate | 2008 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-61252020-06-15T07:50:49Z http://irep.iium.edu.my/6125/ A gas-kinetic BGK solver for two-dimensional turbulent compressible flow Ong, Jiunn Chit Omar, Ashraf Ali Asrar, Waqar Ismail, Ahmad Faris TL500 Aeronautics In this paper, a gas kinetic solver is developed for the Reynolds Average Navier-Stokes (RANS) equations in two-space dimensions. To our best knowledge, this is the first attempt to extend the application of the BGK (Bhatnagaar-Gross-Krook) scheme to solve RANS equations with a turbulence model using finite difference method. The convection flux terms which appear on the left hand side of the RANS equations are discretized by a semi-discrete finite difference method. Then, the resulting inviscid flux functions are approximated by gas-kinetic BGK scheme which is based on the BGK model of the approximate collisional Boltzmann equation. The cell interface values required by the inviscid flux functions are reconstructed to higher-order spatial accuracy via the MUSCL (Monotone Upstream-Centered Schemes for Conservation Laws) variable interpolation method coupled with a minmod limiter. As for the diffusion flux terms, they are discretized by a second-order central difference scheme. To account for the turbulence effect, a combined k-ε / k-ω SST (Shear-Stress Transport) two-equation turbulence model is used in the solver. An explicit-type time integration method known as the modified fourth-order Runge-Kutta method is used to compute steady-state solutions. The computed results for a supersonic flow past a flat plate where the transition is artificially triggered at 50% of plate length are presented in this paper. Validating the computed results against existing analytical solutions and also comparing them with results from other well-known numerical schemes show that a very good agreement is obtained. 2008-07 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/6125/1/BGKsolver.pdf Ong, Jiunn Chit and Omar, Ashraf Ali and Asrar, Waqar and Ismail, Ahmad Faris (2008) A gas-kinetic BGK solver for two-dimensional turbulent compressible flow. In: International Conference on Scientific Computing , July 14-17, 2008, Las Vegas, Nevada, USA. |
| spellingShingle | TL500 Aeronautics Ong, Jiunn Chit Omar, Ashraf Ali Asrar, Waqar Ismail, Ahmad Faris A gas-kinetic BGK solver for two-dimensional turbulent compressible flow |
| title | A gas-kinetic BGK solver for two-dimensional turbulent compressible flow |
| title_full | A gas-kinetic BGK solver for two-dimensional turbulent compressible flow |
| title_fullStr | A gas-kinetic BGK solver for two-dimensional turbulent compressible flow |
| title_full_unstemmed | A gas-kinetic BGK solver for two-dimensional turbulent compressible flow |
| title_short | A gas-kinetic BGK solver for two-dimensional turbulent compressible flow |
| title_sort | gas-kinetic bgk solver for two-dimensional turbulent compressible flow |
| topic | TL500 Aeronautics |
| url | http://irep.iium.edu.my/6125/ http://irep.iium.edu.my/6125/1/BGKsolver.pdf |