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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| Format: | Article |
| Language: | English English |
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Taylor & Francis
2015
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| Online Access: | 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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| author | Elfaghi, Abdulhafid M. Omar, Ashraf Ali Asrar, Waqar |
| author_facet | Elfaghi, Abdulhafid M. Omar, Ashraf Ali Asrar, Waqar |
| author_sort | Elfaghi, Abdulhafid M. |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T16:25:47Z |
| format | Article |
| id | iium-50767 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T16:25:47Z |
| publishDate | 2015 |
| publisher | Taylor & Francis |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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 |
| 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 |
| title | 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_short | 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 |
| topic | TJ Mechanical engineering and machinery |
| 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 |