Higher order compact-flowfield dependent variation (HOCFDV) method for solving navier-stokes equations
In this paper, a novel high order accurate method, namely high order compact flowfield dependent variation (HOC-FDV) method, has been developed to solve full Navier Stokes equations. The new scheme is a third order accuracy in time and fourth order accuracy in space. The spatial derivatives in the t...
| Main Authors: | , , |
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| Format: | Proceeding Paper |
| Language: | English |
| Published: |
2010
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/2384/ http://irep.iium.edu.my/2384/1/ACFD_%28Hong_Kong%29.pdf |
| _version_ | 1848775999959859200 |
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| author | Elfaghi, Abdulhafid M. Asrar, Waqar Omar, Ashraf Ali E. |
| author_facet | Elfaghi, Abdulhafid M. Asrar, Waqar Omar, Ashraf Ali E. |
| author_sort | Elfaghi, Abdulhafid M. |
| building | IIUM Repository |
| collection | Online Access |
| description | In this paper, a novel high order accurate method, namely high order compact flowfield dependent variation (HOC-FDV) method, has been developed to solve full Navier Stokes equations. The new scheme is a third order accuracy in time and fourth order accuracy in space. The spatial derivatives in the third order accuracy in time, flowfield dependent variation (FDV) equations proposed by Chung, are approximated using high order compact (HOC) Hermitian (Pade) scheme. The solution procedure at each time step consists of a system of block tri-diagonal matrix which can be solved efficiently in a standard manner. Two numerical examples namely; shock tube (Sod) problem and supersonic flow over a flat plate are tested to examine the accuracy and shockwave boundary layer interaction. The results showed the high accuracy and the capability of the new scheme to capture the shock and to simulate accurately the separation and discontinuity. |
| first_indexed | 2025-11-14T14:23:07Z |
| format | Proceeding Paper |
| id | iium-2384 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:23:07Z |
| publishDate | 2010 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-23842016-05-20T00:53:01Z http://irep.iium.edu.my/2384/ Higher order compact-flowfield dependent variation (HOCFDV) method for solving navier-stokes equations Elfaghi, Abdulhafid M. Asrar, Waqar Omar, Ashraf Ali E. TL500 Aeronautics In this paper, a novel high order accurate method, namely high order compact flowfield dependent variation (HOC-FDV) method, has been developed to solve full Navier Stokes equations. The new scheme is a third order accuracy in time and fourth order accuracy in space. The spatial derivatives in the third order accuracy in time, flowfield dependent variation (FDV) equations proposed by Chung, are approximated using high order compact (HOC) Hermitian (Pade) scheme. The solution procedure at each time step consists of a system of block tri-diagonal matrix which can be solved efficiently in a standard manner. Two numerical examples namely; shock tube (Sod) problem and supersonic flow over a flat plate are tested to examine the accuracy and shockwave boundary layer interaction. The results showed the high accuracy and the capability of the new scheme to capture the shock and to simulate accurately the separation and discontinuity. 2010-01-10 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/2384/1/ACFD_%28Hong_Kong%29.pdf Elfaghi, Abdulhafid M. and Asrar, Waqar and Omar, Ashraf Ali E. (2010) Higher order compact-flowfield dependent variation (HOCFDV) method for solving navier-stokes equations. In: The 8th Asian Computational Fluid Dynamics Conference, 10-14 January, 2010, Hong Kong. |
| spellingShingle | TL500 Aeronautics Elfaghi, Abdulhafid M. Asrar, Waqar Omar, Ashraf Ali E. Higher order compact-flowfield dependent variation (HOCFDV) method for solving navier-stokes equations |
| title | Higher order compact-flowfield dependent variation (HOCFDV)
method for solving navier-stokes equations |
| title_full | Higher order compact-flowfield dependent variation (HOCFDV)
method for solving navier-stokes equations |
| title_fullStr | Higher order compact-flowfield dependent variation (HOCFDV)
method for solving navier-stokes equations |
| title_full_unstemmed | Higher order compact-flowfield dependent variation (HOCFDV)
method for solving navier-stokes equations |
| title_short | Higher order compact-flowfield dependent variation (HOCFDV)
method for solving navier-stokes equations |
| title_sort | higher order compact-flowfield dependent variation (hocfdv)
method for solving navier-stokes equations |
| topic | TL500 Aeronautics |
| url | http://irep.iium.edu.my/2384/ http://irep.iium.edu.my/2384/1/ACFD_%28Hong_Kong%29.pdf |