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

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.

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Abstract

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.

Item Type: Conference or Workshop Item (Full Paper)
Additional Information: /6125
Uncontrolled Keywords: Finite Difference Method, BGK Scheme, Compressible Turbulent Flow, Turbulence Model
Subjects: T Technology > TL Motor vehicles. Aeronautics. Astronautics > TL500 Aeronautics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): Kulliyyah of Engineering > Department of Mechanical Engineering
Depositing User: Prof. Waqar Asrar
Date Deposited: 18 Oct 2011 15:44
Last Modified: 22 Nov 2011 04:52
URI: http://irep.iium.edu.my/id/eprint/6125

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