Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation
In this paper, a comparison between h ig h e r order schemes has been performed in terms of numerical accuracy. Four finite difference schemes, the e xp lic it fourth-order compact Pade scheme, the implicit fourth-order Pade scheme, flowfield dependent variation (FDV) meth o d a n d h igh order c...
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| Format: | Article |
| Language: | English |
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AENSI Publishing Corporation
2009
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| Online Access: | http://eprints.uthm.edu.my/7128/ http://eprints.uthm.edu.my/7128/1/J14087_c8869f98803fea24dd3c8030745d5985.pdf |
| _version_ | 1848889009522081792 |
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| author | M. Elfaghi, Abdulhafid Asrar, Waqar A. Omar, Ashraf |
| author_facet | M. Elfaghi, Abdulhafid Asrar, Waqar A. Omar, Ashraf |
| author_sort | M. Elfaghi, Abdulhafid |
| building | UTHM Institutional Repository |
| collection | Online Access |
| description | In this paper, a comparison between h ig h e r order schemes has been performed in terms of
numerical accuracy. Four finite difference schemes, the e xp lic it fourth-order compact Pade scheme,
the implicit fourth-order Pade scheme, flowfield dependent variation (FDV) meth o d a n d h igh order
compact flowfie ld dependent variation (HOC-FDV) scheme are tested. The FDV scheme is used for
time disc retization and the fourth-order compact Pade scheme is used for spatial derivatives. The
solution procedures c o n sist of a number of tri-diagonal matrix operations and produce an efficient
solver. The comparisons are performed u sin g one dimensional nonlinear viscous Burgers equation to
demonstrate the accuracy and the convergence characteristics o f the high-resolution schemes. The
numerical results show that HOC-FDV is highly accurate in co mparison with analytical and with other
higher order schemes. |
| first_indexed | 2025-11-15T20:19:22Z |
| format | Article |
| id | uthm-7128 |
| institution | Universiti Tun Hussein Onn Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T20:19:22Z |
| publishDate | 2009 |
| publisher | AENSI Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | uthm-71282022-06-08T02:11:47Z http://eprints.uthm.edu.my/7128/ Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation M. Elfaghi, Abdulhafid Asrar, Waqar A. Omar, Ashraf T Technology (General) In this paper, a comparison between h ig h e r order schemes has been performed in terms of numerical accuracy. Four finite difference schemes, the e xp lic it fourth-order compact Pade scheme, the implicit fourth-order Pade scheme, flowfield dependent variation (FDV) meth o d a n d h igh order compact flowfie ld dependent variation (HOC-FDV) scheme are tested. The FDV scheme is used for time disc retization and the fourth-order compact Pade scheme is used for spatial derivatives. The solution procedures c o n sist of a number of tri-diagonal matrix operations and produce an efficient solver. The comparisons are performed u sin g one dimensional nonlinear viscous Burgers equation to demonstrate the accuracy and the convergence characteristics o f the high-resolution schemes. The numerical results show that HOC-FDV is highly accurate in co mparison with analytical and with other higher order schemes. AENSI Publishing Corporation 2009 Article PeerReviewed text en http://eprints.uthm.edu.my/7128/1/J14087_c8869f98803fea24dd3c8030745d5985.pdf M. Elfaghi, Abdulhafid and Asrar, Waqar and A. Omar, Ashraf (2009) Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation. Australian Journal of Basic and Applied Sciences, 3 (3). pp. 2535-2543. ISSN 1991-8178 |
| spellingShingle | T Technology (General) M. Elfaghi, Abdulhafid Asrar, Waqar A. Omar, Ashraf Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation |
| title | Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation |
| title_full | Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation |
| title_fullStr | Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation |
| title_full_unstemmed | Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation |
| title_short | Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation |
| title_sort | comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation |
| topic | T Technology (General) |
| url | http://eprints.uthm.edu.my/7128/ http://eprints.uthm.edu.my/7128/1/J14087_c8869f98803fea24dd3c8030745d5985.pdf |