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...

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Main Authors:	Ong, Jiunn Chit, Omar, Ashraf Ali, Asrar, Waqar
Format:	Conference or Workshop Item
Language:	English English
Published:	2011
Subjects:	TL500 Aeronautics
Online Access:	http://irep.iium.edu.my/2376/ http://irep.iium.edu.my/2376/1/Conference_1.pdf http://irep.iium.edu.my/2376/4/IMECS2011_pp1575-1580.pdf

id	iium-2376
recordtype	eprints
spelling	iium-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 Conference or Workshop Item 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.
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English
topic	TL500 Aeronautics
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
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.
format	Conference or Workshop Item
author	Ong, Jiunn Chit Omar, Ashraf Ali Asrar, Waqar
author_facet	Ong, Jiunn Chit Omar, Ashraf Ali Asrar, Waqar
author_sort	Ong, Jiunn Chit
title	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_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_sort	accuracy of the gas-kinetic bgk finite difference method for solving 3-d compressible inviscid flows
publishDate	2011
url	http://irep.iium.edu.my/2376/ http://irep.iium.edu.my/2376/1/Conference_1.pdf http://irep.iium.edu.my/2376/4/IMECS2011_pp1575-1580.pdf
first_indexed	2023-09-18T20:09:58Z
last_indexed	2023-09-18T20:09:58Z
_version_	1777407411942850560

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

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