Higher-Order Compact-Flow Field-Dependent Variation (HOC-FDV) method for solving two-dimensional navier-stokes equations

In this article, a new, higher-order accurate method, namely higher-order compact-flow field-dependent variation (HOC-FDV) method, has been developed to solve two-dimensional Navier-Stokes equations. The HOC-FDV scheme is of third-order accuracy in time and fourth-order in space. The spatial derivat...

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Main Authors:	Elfaghi, Abdulhafid M., Omar, Ashraf Ali, Asrar, Waqar
Format:	Article
Language:	English English
Published:	Taylor & Francis 2015
Subjects:	TJ Mechanical engineering and machinery
Online Access:	http://irep.iium.edu.my/50767/ http://irep.iium.edu.my/50767/ http://irep.iium.edu.my/50767/ http://irep.iium.edu.my/50767/1/50767_Higher-Order_Compact-Flow_Field-Dependent_Variation_SCOPUS.pdf http://irep.iium.edu.my/50767/4/50767_Higher-Order_Compact-Flow_Field-Dependent_Variation.pdf

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recordtype	eprints
spelling	iium-507672018-01-29T07:44:19Z http://irep.iium.edu.my/50767/ Higher-Order Compact-Flow Field-Dependent Variation (HOC-FDV) method for solving two-dimensional navier-stokes equations Elfaghi, Abdulhafid M. Omar, Ashraf Ali Asrar, Waqar TJ Mechanical engineering and machinery In this article, a new, higher-order accurate method, namely higher-order compact-flow field-dependent variation (HOC-FDV) method, has been developed to solve two-dimensional Navier-Stokes equations. The HOC-FDV scheme is of third-order accuracy in time and fourth-order in space. The spatial derivatives in the flow field-dependent variation (FDV) equations proposed by Chung are approximated using higher-order compact (HOC) Hermitian (Pade) scheme. The solution procedure at each time step consists of a system of block tri-diagonal matrices which can be solved efficiently in a standard manner. Several numerical examples are tested to examine the accuracy and capability of the new scheme to capture the shock and to simulate accurately separation and discontinuity. Taylor & Francis 2015 Article PeerReviewed application/pdf en http://irep.iium.edu.my/50767/1/50767_Higher-Order_Compact-Flow_Field-Dependent_Variation_SCOPUS.pdf application/pdf en http://irep.iium.edu.my/50767/4/50767_Higher-Order_Compact-Flow_Field-Dependent_Variation.pdf Elfaghi, Abdulhafid M. and Omar, Ashraf Ali and Asrar, Waqar (2015) Higher-Order Compact-Flow Field-Dependent Variation (HOC-FDV) method for solving two-dimensional navier-stokes equations. International Journal for Computational Methods in Engineering Science and Mechanics, 16 (4). pp. 256-263. ISSN 1550-2287 http://www.tandfonline.com/doi/abs/10.1080/15502287.2015.1048386 10.1080/15502287.2015.1048386
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English
topic	TJ Mechanical engineering and machinery
spellingShingle	TJ Mechanical engineering and machinery Elfaghi, Abdulhafid M. Omar, Ashraf Ali Asrar, Waqar Higher-Order Compact-Flow Field-Dependent Variation (HOC-FDV) method for solving two-dimensional navier-stokes equations
description	In this article, a new, higher-order accurate method, namely higher-order compact-flow field-dependent variation (HOC-FDV) method, has been developed to solve two-dimensional Navier-Stokes equations. The HOC-FDV scheme is of third-order accuracy in time and fourth-order in space. The spatial derivatives in the flow field-dependent variation (FDV) equations proposed by Chung are approximated using higher-order compact (HOC) Hermitian (Pade) scheme. The solution procedure at each time step consists of a system of block tri-diagonal matrices which can be solved efficiently in a standard manner. Several numerical examples are tested to examine the accuracy and capability of the new scheme to capture the shock and to simulate accurately separation and discontinuity.
format	Article
author	Elfaghi, Abdulhafid M. Omar, Ashraf Ali Asrar, Waqar
author_facet	Elfaghi, Abdulhafid M. Omar, Ashraf Ali Asrar, Waqar
author_sort	Elfaghi, Abdulhafid M.
title	Higher-Order Compact-Flow Field-Dependent Variation (HOC-FDV) method for solving two-dimensional navier-stokes equations
title_short	Higher-Order Compact-Flow Field-Dependent Variation (HOC-FDV) method for solving two-dimensional navier-stokes equations
title_full	Higher-Order Compact-Flow Field-Dependent Variation (HOC-FDV) method for solving two-dimensional navier-stokes equations
title_fullStr	Higher-Order Compact-Flow Field-Dependent Variation (HOC-FDV) method for solving two-dimensional navier-stokes equations
title_full_unstemmed	Higher-Order Compact-Flow Field-Dependent Variation (HOC-FDV) method for solving two-dimensional navier-stokes equations
title_sort	higher-order compact-flow field-dependent variation (hoc-fdv) method for solving two-dimensional navier-stokes equations
publisher	Taylor & Francis
publishDate	2015
url	http://irep.iium.edu.my/50767/ http://irep.iium.edu.my/50767/ http://irep.iium.edu.my/50767/ http://irep.iium.edu.my/50767/1/50767_Higher-Order_Compact-Flow_Field-Dependent_Variation_SCOPUS.pdf http://irep.iium.edu.my/50767/4/50767_Higher-Order_Compact-Flow_Field-Dependent_Variation.pdf
first_indexed	2023-09-18T21:11:49Z
last_indexed	2023-09-18T21:11:49Z
_version_	1777411303326875648

Higher-Order Compact-Flow Field-Dependent Variation (HOC-FDV) method for solving two-dimensional navier-stokes equations

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