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:
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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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
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