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...

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Main Authors:	Ong, Jiunn Chit, Omar, Ashraf Ali, Asrar, Waqar, Ismail, Ahmad Faris
Format:	Conference or Workshop Item
Language:	English
Published:	2008
Subjects:	TL500 Aeronautics
Online Access:	http://irep.iium.edu.my/6125/ http://irep.iium.edu.my/6125/1/BGKsolver.pdf

id	iium-6125
recordtype	eprints
spelling	iium-61252011-11-21T20:52:28Z 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 Conference or Workshop Item 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.
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	TL500 Aeronautics
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
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.
format	Conference or Workshop Item
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
title	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_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_sort	gas-kinetic bgk solver for two-dimensional turbulent compressible flow
publishDate	2008
url	http://irep.iium.edu.my/6125/ http://irep.iium.edu.my/6125/1/BGKsolver.pdf
first_indexed	2023-09-18T20:14:57Z
last_indexed	2023-09-18T20:14:57Z
_version_	1777407725213319168

A gas-kinetic BGK solver for two-dimensional turbulent compressible flow

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