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The accuracy of the gas-kinetic BGK finite difference method for solving 3-D compressible inviscid flows

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.

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Abstract

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.

Item Type: Conference or Workshop Item (Full Paper)
Additional Information: 4441/2376
Uncontrolled Keywords: Three-dimensional compressible inviscid flow, BGK scheme, finite difference method, modified Runge-Kutta method
Subjects: T Technology > TL Motor vehicles. Aeronautics. Astronautics > TL500 Aeronautics
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Engineering > Department of Mechanical Engineering
Depositing User: Prof. Ashraf Omar
Date Deposited: 19 Sep 2011 18:45
Last Modified: 25 Apr 2012 11:19
URI: http://irep.iium.edu.my/id/eprint/2376

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