A High Order Compact-Flowfield Dependent Variation (HOC-FDV) method for inviscid flows

In this paper, a single high-order compact flowfield-dependent variation (HOC-FDV) method is developed, valid for two�dimensional inviscid compressible as well as incompressible flow problems. The method has third-order accuracy in time and fourth�order accuracy in space. The FDV scheme is used fo...

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Main Authors: Elfaghi, A. M., Asrar, W., Omar, A. A.
Format: Article
Language:English
Published: Taylor & Francis 2010
Subjects:
Online Access:http://eprints.uthm.edu.my/7129/1/J14088_e8c83f0955f73e0dc97e1664e9fcdb86.pdf
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author Elfaghi, A. M.
Asrar, W.
Omar, A. A.
author_facet Elfaghi, A. M.
Asrar, W.
Omar, A. A.
author_sort Elfaghi, A. M.
collection UTHM
description In this paper, a single high-order compact flowfield-dependent variation (HOC-FDV) method is developed, valid for two�dimensional inviscid compressible as well as incompressible flow problems. The method has third-order accuracy in time and fourth�order accuracy in space. The FDV scheme is used for time dis�cretization and the fourth-order compact Pade scheme is used for spatial derivatives. The solution procedure consists of a number of tri-diagonal matrix operations and produces an accurate solver. Numerical examples are solved to demonstrate the accuracy and convergence characteristics of the high-resolution scheme. The test cases are flow over a compression corner, a channel flow with com�pression/expansion, and a flow past NACA 0012 airfoil. The numer�ical results show an excellent agreement with analytical and pub�lished numerical results and they clearly demonstrate the higher accuracy of a single HOC-FDV scheme for both incompressible and compressible flows.
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spelling uthm.eprints-71292022-06-08T02:11:54Z http://eprints.uthm.edu.my/7129/ A High Order Compact-Flowfield Dependent Variation (HOC-FDV) method for inviscid flows Elfaghi, A. M. Asrar, W. Omar, A. A. T Technology (General) In this paper, a single high-order compact flowfield-dependent variation (HOC-FDV) method is developed, valid for two�dimensional inviscid compressible as well as incompressible flow problems. The method has third-order accuracy in time and fourth�order accuracy in space. The FDV scheme is used for time dis�cretization and the fourth-order compact Pade scheme is used for spatial derivatives. The solution procedure consists of a number of tri-diagonal matrix operations and produces an accurate solver. Numerical examples are solved to demonstrate the accuracy and convergence characteristics of the high-resolution scheme. The test cases are flow over a compression corner, a channel flow with com�pression/expansion, and a flow past NACA 0012 airfoil. The numer�ical results show an excellent agreement with analytical and pub�lished numerical results and they clearly demonstrate the higher accuracy of a single HOC-FDV scheme for both incompressible and compressible flows. Taylor & Francis 2010 Article PeerReviewed text en http://eprints.uthm.edu.my/7129/1/J14088_e8c83f0955f73e0dc97e1664e9fcdb86.pdf Elfaghi, A. M. and Asrar, W. and Omar, A. A. (2010) A High Order Compact-Flowfield Dependent Variation (HOC-FDV) method for inviscid flows. International Journal for Computational Methods in Engineering Science and Mechanics, 11. pp. 258-263. ISSN 1550-2287 https://doi.org/ 10.1080/15502287.2010.501322
spellingShingle T Technology (General)
Elfaghi, A. M.
Asrar, W.
Omar, A. A.
A High Order Compact-Flowfield Dependent Variation (HOC-FDV) method for inviscid flows
title A High Order Compact-Flowfield Dependent Variation (HOC-FDV) method for inviscid flows
title_full A High Order Compact-Flowfield Dependent Variation (HOC-FDV) method for inviscid flows
title_fullStr A High Order Compact-Flowfield Dependent Variation (HOC-FDV) method for inviscid flows
title_full_unstemmed A High Order Compact-Flowfield Dependent Variation (HOC-FDV) method for inviscid flows
title_short A High Order Compact-Flowfield Dependent Variation (HOC-FDV) method for inviscid flows
title_sort high order compact flowfield dependent variation hoc fdv method for inviscid flows
topic T Technology (General)
url http://eprints.uthm.edu.my/7129/1/J14088_e8c83f0955f73e0dc97e1664e9fcdb86.pdf
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