Highly accurate compact flowfield dependent variation method for solving two-dimensional navier-stokes equations
A higher order accurate method, namely high order compact flowfield dependent variation (HOC-FDV) method, has been developed to solve full Navier-Stokes equations. The scheme is a third order accuracy in time and fourth order accuracy in space. The spatial derivatives in the third order accuracy in...
| Main Authors: | , , , |
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| Format: | Proceeding Paper |
| Language: | English |
| Published: |
2011
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/2352/ http://irep.iium.edu.my/2352/1/paper_2.pdf |
| _version_ | 1848775995021066240 |
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| author | Elfagi, Abdulhafid M. Ahmed Omer, Elhassen Ali Asrar, Waqar Omar, Ashraf Ali |
| author_facet | Elfagi, Abdulhafid M. Ahmed Omer, Elhassen Ali Asrar, Waqar Omar, Ashraf Ali |
| author_sort | Elfagi, Abdulhafid M. |
| building | IIUM Repository |
| collection | Online Access |
| description | A higher order accurate method, namely high order compact flowfield dependent variation (HOC-FDV) method, has been developed to solve full Navier-Stokes equations. The 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-dimensional numerical examples are tested to examine the accuracy and shockwave boundary layer interactions. The results showed the high accuracy and the capability of the higher order scheme to simulate accurately the separation and discontinuity |
| first_indexed | 2025-11-14T14:23:03Z |
| format | Proceeding Paper |
| id | iium-2352 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:23:03Z |
| publishDate | 2011 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-23522011-12-20T06:47:41Z http://irep.iium.edu.my/2352/ Highly accurate compact flowfield dependent variation method for solving two-dimensional navier-stokes equations Elfagi, Abdulhafid M. Ahmed Omer, Elhassen Ali Asrar, Waqar Omar, Ashraf Ali TL500 Aeronautics A higher order accurate method, namely high order compact flowfield dependent variation (HOC-FDV) method, has been developed to solve full Navier-Stokes equations. The 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-dimensional numerical examples are tested to examine the accuracy and shockwave boundary layer interactions. The results showed the high accuracy and the capability of the higher order scheme to simulate accurately the separation and discontinuity 2011-05-17 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/2352/1/paper_2.pdf Elfagi, Abdulhafid M. and Ahmed Omer, Elhassen Ali and Asrar, Waqar and Omar, Ashraf Ali (2011) Highly accurate compact flowfield dependent variation method for solving two-dimensional navier-stokes equations. In: International Conference on Mechanical, Automotive and Aerospace Engineering 2011, 17-19 May, 2011, Kuala Lumpur. |
| spellingShingle | TL500 Aeronautics Elfagi, Abdulhafid M. Ahmed Omer, Elhassen Ali Asrar, Waqar Omar, Ashraf Ali Highly accurate compact flowfield dependent variation method for solving two-dimensional navier-stokes equations |
| title | Highly accurate compact flowfield dependent variation method for solving two-dimensional navier-stokes equations |
| title_full | Highly accurate compact flowfield dependent variation method for solving two-dimensional navier-stokes equations |
| title_fullStr | Highly accurate compact flowfield dependent variation method for solving two-dimensional navier-stokes equations |
| title_full_unstemmed | Highly accurate compact flowfield dependent variation method for solving two-dimensional navier-stokes equations |
| title_short | Highly accurate compact flowfield dependent variation method for solving two-dimensional navier-stokes equations |
| title_sort | highly accurate compact flowfield dependent variation method for solving two-dimensional navier-stokes equations |
| topic | TL500 Aeronautics |
| url | http://irep.iium.edu.my/2352/ http://irep.iium.edu.my/2352/1/paper_2.pdf |