Higher-Order Compact-Flow Field-Dependent Variation (HOC-FDV) method for solving two dimensional navier-stokes equation
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 accu�racy in time and fourth-order in space. The spatial deri...
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| Format: | Article |
| Language: | en |
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Taylor & Francis
2015
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| Online Access: | http://eprints.uthm.edu.my/7130/1/J14089_7438c7796d962f8da4e27072dcc4ac1d.pdf http://eprints.uthm.edu.my/7130/ https://doi.org/ 10.1080/15502287.2015.1048386 |
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| author | Elfaghi, Abdulhafid Omar, Ashraf Ali Asrar, Waqar |
| author_facet | Elfaghi, Abdulhafid Omar, Ashraf Ali Asrar, Waqar |
| author_sort | Elfaghi, Abdulhafid |
| building | UTHM Library |
| collection | Institutional Repository |
| content_provider | Universiti Tun Hussein Onn Malaysia |
| content_source | UTHM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| 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 accu�racy 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) Her�mitian (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 exam�ples 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 |
| id | my.uthm.eprints-7130 |
| institution | Universiti Tun Hussein Onn Malaysia |
| language | en |
| publishDate | 2015 |
| publisher | Taylor & Francis |
| record_format | eprints |
| spelling | my.uthm.eprints-71302022-06-08T02:12:08Z http://eprints.uthm.edu.my/7130/ Higher-Order Compact-Flow Field-Dependent Variation (HOC-FDV) method for solving two dimensional navier-stokes equation Elfaghi, Abdulhafid Omar, Ashraf Ali Asrar, Waqar T Technology (General) 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 accu�racy 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) Her�mitian (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 exam�ples 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 text en http://eprints.uthm.edu.my/7130/1/J14089_7438c7796d962f8da4e27072dcc4ac1d.pdf Elfaghi, Abdulhafid and Omar, Ashraf Ali and Asrar, Waqar (2015) Higher-Order Compact-Flow Field-Dependent Variation (HOC-FDV) method for solving two dimensional navier-stokes equation. International Journal for Computational Methods in Engineering Science and Mechanics, 16. pp. 256-263. https://doi.org/ 10.1080/15502287.2015.1048386 |
| spellingShingle | T Technology (General) Elfaghi, Abdulhafid Omar, Ashraf Ali Asrar, Waqar Higher-Order Compact-Flow Field-Dependent Variation (HOC-FDV) method for solving two dimensional navier-stokes equation |
| title | Higher-Order Compact-Flow Field-Dependent Variation (HOC-FDV) method for solving two dimensional navier-stokes equation |
| title_full | Higher-Order Compact-Flow Field-Dependent Variation (HOC-FDV) method for solving two dimensional navier-stokes equation |
| title_fullStr | Higher-Order Compact-Flow Field-Dependent Variation (HOC-FDV) method for solving two dimensional navier-stokes equation |
| title_full_unstemmed | Higher-Order Compact-Flow Field-Dependent Variation (HOC-FDV) method for solving two dimensional navier-stokes equation |
| title_short | Higher-Order Compact-Flow Field-Dependent Variation (HOC-FDV) method for solving two dimensional navier-stokes equation |
| title_sort | higher-order compact-flow field-dependent variation (hoc-fdv) method for solving two dimensional navier-stokes equation |
| topic | T Technology (General) |
| url | http://eprints.uthm.edu.my/7130/1/J14089_7438c7796d962f8da4e27072dcc4ac1d.pdf http://eprints.uthm.edu.my/7130/ https://doi.org/ 10.1080/15502287.2015.1048386 |
| url_provider | http://eprints.uthm.edu.my/ |