Application of Gas-Kinetic BGK Scheme for Solving 2-D Compressible Inviscid Flow around Linear Turbine Cascade

Fluid flows within turbomachinery tend to be extremely complex. Understanding such flows is crucial in the effort to improve current turbomachinery designs. Hence, computational approaches can be used to great advantage in this regard. In this paper, gas-kinetic BGK (Bhatnagar-Gross-Krook) scheme is...

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Main Authors:	Abdusslam, Saleh N., Ong, Jiunn Chit, Hamdan, Megat M., Omar, Ashraf Ali, Asrar, Waqar
Format:	Article
Language:	English
Published:	Taylor & Francis 2006
Subjects:	TL500 Aeronautics
Online Access:	http://irep.iium.edu.my/5976/ http://irep.iium.edu.my/5976/ http://irep.iium.edu.my/5976/5/waqar_15502280600826357.fp.png_v03.pdf

id	iium-5976
recordtype	eprints
spelling	iium-59762013-06-25T04:27:12Z http://irep.iium.edu.my/5976/ Application of Gas-Kinetic BGK Scheme for Solving 2-D Compressible Inviscid Flow around Linear Turbine Cascade Abdusslam, Saleh N. Ong, Jiunn Chit Hamdan, Megat M. Omar, Ashraf Ali Asrar, Waqar TL500 Aeronautics Fluid flows within turbomachinery tend to be extremely complex. Understanding such flows is crucial in the effort to improve current turbomachinery designs. Hence, computational approaches can be used to great advantage in this regard. In this paper, gas-kinetic BGK (Bhatnagar-Gross-Krook) scheme is developed for simulating compressible inviscid flow around a linear turbine cascade. BGK scheme is an approximate Riemann solver that uses the collisional Boltzmann equation as the governing equation for flow evolutions. For efficient computations, particle distribution functions in the general solution of the BGK model are simplified and used for the flow simulations. Second-order accuracy is achieved via the reconstruction of flow variables using the MUSCL (Monotone Upstream-Centered Schemes for Conservation Laws) interpolation technique together with a multistage Runge-Kutta method. A multi-zone H-type mesh for the linear turbine cascades is generated using a structured algebraic grid generation method. Computed results are compared with available experimental data and found to be in agreement with each other. In order to further substantiate the performance of the BGK scheme, another test case, namely a wedge cascade, is used. The numerical solutions obtained via this test are validated against analytical solutions, which showed to be in good agreement. Taylor & Francis 2006-05 Article PeerReviewed application/pdf en http://irep.iium.edu.my/5976/5/waqar_15502280600826357.fp.png_v03.pdf Abdusslam, Saleh N. and Ong, Jiunn Chit and Hamdan, Megat M. and Omar, Ashraf Ali and Asrar, Waqar (2006) Application of Gas-Kinetic BGK Scheme for Solving 2-D Compressible Inviscid Flow around Linear Turbine Cascade. International Journal for Computational Methods in Engineering Science and Mechanics, 7 (6). pp. 403-410. ISSN 1550-2287 DOI:10.1080/15502280600826357
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 Abdusslam, Saleh N. Ong, Jiunn Chit Hamdan, Megat M. Omar, Ashraf Ali Asrar, Waqar Application of Gas-Kinetic BGK Scheme for Solving 2-D Compressible Inviscid Flow around Linear Turbine Cascade
description	Fluid flows within turbomachinery tend to be extremely complex. Understanding such flows is crucial in the effort to improve current turbomachinery designs. Hence, computational approaches can be used to great advantage in this regard. In this paper, gas-kinetic BGK (Bhatnagar-Gross-Krook) scheme is developed for simulating compressible inviscid flow around a linear turbine cascade. BGK scheme is an approximate Riemann solver that uses the collisional Boltzmann equation as the governing equation for flow evolutions. For efficient computations, particle distribution functions in the general solution of the BGK model are simplified and used for the flow simulations. Second-order accuracy is achieved via the reconstruction of flow variables using the MUSCL (Monotone Upstream-Centered Schemes for Conservation Laws) interpolation technique together with a multistage Runge-Kutta method. A multi-zone H-type mesh for the linear turbine cascades is generated using a structured algebraic grid generation method. Computed results are compared with available experimental data and found to be in agreement with each other. In order to further substantiate the performance of the BGK scheme, another test case, namely a wedge cascade, is used. The numerical solutions obtained via this test are validated against analytical solutions, which showed to be in good agreement.
format	Article
author	Abdusslam, Saleh N. Ong, Jiunn Chit Hamdan, Megat M. Omar, Ashraf Ali Asrar, Waqar
author_facet	Abdusslam, Saleh N. Ong, Jiunn Chit Hamdan, Megat M. Omar, Ashraf Ali Asrar, Waqar
author_sort	Abdusslam, Saleh N.
title	Application of Gas-Kinetic BGK Scheme for Solving 2-D Compressible Inviscid Flow around Linear Turbine Cascade
title_short	Application of Gas-Kinetic BGK Scheme for Solving 2-D Compressible Inviscid Flow around Linear Turbine Cascade
title_full	Application of Gas-Kinetic BGK Scheme for Solving 2-D Compressible Inviscid Flow around Linear Turbine Cascade
title_fullStr	Application of Gas-Kinetic BGK Scheme for Solving 2-D Compressible Inviscid Flow around Linear Turbine Cascade
title_full_unstemmed	Application of Gas-Kinetic BGK Scheme for Solving 2-D Compressible Inviscid Flow around Linear Turbine Cascade
title_sort	application of gas-kinetic bgk scheme for solving 2-d compressible inviscid flow around linear turbine cascade
publisher	Taylor & Francis
publishDate	2006
url	http://irep.iium.edu.my/5976/ http://irep.iium.edu.my/5976/ http://irep.iium.edu.my/5976/5/waqar_15502280600826357.fp.png_v03.pdf
first_indexed	2023-09-18T20:14:48Z
last_indexed	2023-09-18T20:14:48Z
_version_	1777407716414717952

Application of Gas-Kinetic BGK Scheme for Solving 2-D Compressible Inviscid Flow around Linear Turbine Cascade

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