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The Efficiency of Gas-Kinetic BGK scheme for solving 2-d compressible inviscid regular shock reflection problem

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.

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Abstract

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.

Item Type: Conference or Workshop Item (Full Paper)
Additional Information: 4441/6018
Uncontrolled Keywords: Compressible Inviscid Flow, Gas-Kinetic Schemes, BGK scheme, High Resolution Scheme
Subjects: T Technology > TL Motor vehicles. Aeronautics. Astronautics > TL500 Aeronautics
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Engineering > Department of Mechanical Engineering
Depositing User: Prof. Waqar Asrar
Date Deposited: 11 May 2012 11:12
Last Modified: 11 May 2012 11:12
URI: http://irep.iium.edu.my/id/eprint/6018

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