The accuracy of the gas-kinetic BGK finite difference method for solving 3-D compressible inviscid flows
In this paper, the descriptions on the development of a flow solver for the threedimensional compressible Euler equations are presented. The underlying numerical scheme for the solver was based on the collisional Boltzmann model that produces the gas-kinetic BGK (Bhatnagaar-Gross-Krook) scheme. In...
| Main Authors: | , , |
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| Format: | Proceeding Paper |
| Language: | English English |
| Published: |
2011
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| Online Access: | http://irep.iium.edu.my/2376/1/Conference_1.pdf http://irep.iium.edu.my/2376/4/IMECS2011_pp1575-1580.pdf |
| _version_ | 1796874886481707008 |
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| author | Ong, Jiunn Chit Omar, Ashraf Ali Asrar, Waqar |
| author_facet | Ong, Jiunn Chit Omar, Ashraf Ali Asrar, Waqar |
| author_sort | Ong, Jiunn Chit |
| collection | IIUM |
| description | In this paper, the descriptions on the development of a flow solver for the threedimensional compressible Euler equations are presented. The underlying numerical scheme
for the solver was based on the collisional Boltzmann model that produces the gas-kinetic BGK (Bhatnagaar-Gross-Krook) scheme. In constructing the desired algorithm, the convection flux terms were discretized by a semi-discrete finite difference method. The resulting inviscid flux functions were approximated by the gas-kinetic BGK scheme. To achieve higher order spatial accuracy, the cell interface primitive flow variables were reconstructed via the MUSCL (Monotone Upstream-Centered Schemes for Conservation Laws) interpolation method coupled with a min-mod limiter. As for advancing the solutions to another time level, an explicit-type time integration method known as the modified fourth-order Runge-Kutta was employed in the current flow solver to compute steady-state solutions. Two numerical cases were used to validate the flow solver where the computed results obtained were compared with available analytical solutions and published results from literature to substantiate the accuracy and robustness of the developed gas-kinetic BGK flow solver. |
| first_indexed | 2024-03-05T22:30:54Z |
| format | Proceeding Paper |
| id | oai:generic.eprints.org:2376 |
| institution | International Islamic University Malaysia |
| language | English English |
| last_indexed | 2024-03-05T22:30:54Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | oai:generic.eprints.org:23762012-04-25T03:19:44Z http://irep.iium.edu.my/2376/ The accuracy of the gas-kinetic BGK finite difference method for solving 3-D compressible inviscid flows Ong, Jiunn Chit Omar, Ashraf Ali Asrar, Waqar TL500 Aeronautics In this paper, the descriptions on the development of a flow solver for the threedimensional compressible Euler equations are presented. The underlying numerical scheme for the solver was based on the collisional Boltzmann model that produces the gas-kinetic BGK (Bhatnagaar-Gross-Krook) scheme. In constructing the desired algorithm, the convection flux terms were discretized by a semi-discrete finite difference method. The resulting inviscid flux functions were approximated by the gas-kinetic BGK scheme. To achieve higher order spatial accuracy, the cell interface primitive flow variables were reconstructed via the MUSCL (Monotone Upstream-Centered Schemes for Conservation Laws) interpolation method coupled with a min-mod limiter. As for advancing the solutions to another time level, an explicit-type time integration method known as the modified fourth-order Runge-Kutta was employed in the current flow solver to compute steady-state solutions. Two numerical cases were used to validate the flow solver where the computed results obtained were compared with available analytical solutions and published results from literature to substantiate the accuracy and robustness of the developed gas-kinetic BGK flow solver. 2011-03 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/2376/1/Conference_1.pdf application/pdf en http://irep.iium.edu.my/2376/4/IMECS2011_pp1575-1580.pdf Ong, Jiunn Chit and Omar, Ashraf Ali and Asrar, Waqar (2011) The accuracy of the gas-kinetic BGK finite difference method for solving 3-D compressible inviscid flows. In: International MultiConference of Engineers and Computer Scientists 2011 (IMECS 2011), , 16-18 March 2011, Hong Kong. |
| spellingShingle | TL500 Aeronautics Ong, Jiunn Chit Omar, Ashraf Ali Asrar, Waqar The accuracy of the gas-kinetic BGK finite difference method for solving 3-D compressible inviscid flows |
| title | The accuracy of the gas-kinetic BGK finite difference
method for solving 3-D compressible inviscid flows |
| title_full | The accuracy of the gas-kinetic BGK finite difference
method for solving 3-D compressible inviscid flows |
| title_fullStr | The accuracy of the gas-kinetic BGK finite difference
method for solving 3-D compressible inviscid flows |
| title_full_unstemmed | The accuracy of the gas-kinetic BGK finite difference
method for solving 3-D compressible inviscid flows |
| title_short | The accuracy of the gas-kinetic BGK finite difference
method for solving 3-D compressible inviscid flows |
| title_sort | accuracy of the gas kinetic bgk finite difference method for solving 3 d compressible inviscid flows |
| topic | TL500 Aeronautics |
| url | http://irep.iium.edu.my/2376/1/Conference_1.pdf http://irep.iium.edu.my/2376/4/IMECS2011_pp1575-1580.pdf |
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