Higher Order Compact-Flowfield Dependent Variation (HOC-FDV) solution of one-dimensional problems
In this paper, a novel higher order accurate scheme, namely high order compact flowfield dependent variation (HOC-FDV) method has been used to solve one-dimensional problems. The method is fourth order accurate in space and third order accurate in time. Four numerical problems; the nonlinear vis...
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| Format: | Article |
| Language: | en |
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Taylor & Francis
2010
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| Online Access: | http://eprints.uthm.edu.my/7127/1/J14086_afa5189d98f747b677f2031d88965105.pdf http://eprints.uthm.edu.my/7127/ https://doi.org/10.1080/19942060.2010.11015330 |
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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 Library |
| collection | Institutional Repository |
| content_provider | Universiti Tun Hussein Onn Malaysia |
| content_source | UTHM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | In this paper, a novel higher order accurate scheme, namely high order compact flowfield dependent
variation (HOC-FDV) method has been used to solve one-dimensional problems. The method is fourth order
accurate in space and third order accurate in time. Four numerical problems; the nonlinear viscous Burger’s
equation, transient Couette flow, the shock tube (Sod problem) and the interaction of two blast waves are solved to
test the accuracy and the ability of the scheme to capture shock waves and contact discontinuities. The solution
procedure consists of tri-diagonal matrix operations and produces an efficient solver. The results are compared with
analytical solutions, the original FDV method, and other standard second order methods. The results also show that
HOC-FDV scheme provides more accurate results and gives excellent shock capturing capabilities. |
| format | Article |
| id | my.uthm.eprints-7127 |
| institution | Universiti Tun Hussein Onn Malaysia |
| language | en |
| publishDate | 2010 |
| publisher | Taylor & Francis |
| record_format | eprints |
| spelling | my.uthm.eprints-71272022-06-08T02:11:38Z http://eprints.uthm.edu.my/7127/ Higher Order Compact-Flowfield Dependent Variation (HOC-FDV) solution of one-dimensional problems M. Elfaghi, Abdulhafid Asrar, Waqar A. Omar, Ashraf T Technology (General) In this paper, a novel higher order accurate scheme, namely high order compact flowfield dependent variation (HOC-FDV) method has been used to solve one-dimensional problems. The method is fourth order accurate in space and third order accurate in time. Four numerical problems; the nonlinear viscous Burger’s equation, transient Couette flow, the shock tube (Sod problem) and the interaction of two blast waves are solved to test the accuracy and the ability of the scheme to capture shock waves and contact discontinuities. The solution procedure consists of tri-diagonal matrix operations and produces an efficient solver. The results are compared with analytical solutions, the original FDV method, and other standard second order methods. The results also show that HOC-FDV scheme provides more accurate results and gives excellent shock capturing capabilities. Taylor & Francis 2010 Article PeerReviewed text en http://eprints.uthm.edu.my/7127/1/J14086_afa5189d98f747b677f2031d88965105.pdf M. Elfaghi, Abdulhafid and Asrar, Waqar and A. Omar, Ashraf (2010) Higher Order Compact-Flowfield Dependent Variation (HOC-FDV) solution of one-dimensional problems. Engineering Applications of Computational Fluid Mechanics, 4 (3). pp. 434-440. ISSN 1994-2060 https://doi.org/10.1080/19942060.2010.11015330 |
| spellingShingle | T Technology (General) M. Elfaghi, Abdulhafid Asrar, Waqar A. Omar, Ashraf Higher Order Compact-Flowfield Dependent Variation (HOC-FDV) solution of one-dimensional problems |
| title | Higher Order Compact-Flowfield Dependent Variation (HOC-FDV) solution of one-dimensional problems |
| title_full | Higher Order Compact-Flowfield Dependent Variation (HOC-FDV) solution of one-dimensional problems |
| title_fullStr | Higher Order Compact-Flowfield Dependent Variation (HOC-FDV) solution of one-dimensional problems |
| title_full_unstemmed | Higher Order Compact-Flowfield Dependent Variation (HOC-FDV) solution of one-dimensional problems |
| title_short | Higher Order Compact-Flowfield Dependent Variation (HOC-FDV) solution of one-dimensional problems |
| title_sort | higher order compact-flowfield dependent variation (hoc-fdv) solution of one-dimensional problems |
| topic | T Technology (General) |
| url | http://eprints.uthm.edu.my/7127/1/J14086_afa5189d98f747b677f2031d88965105.pdf http://eprints.uthm.edu.my/7127/ https://doi.org/10.1080/19942060.2010.11015330 |
| url_provider | http://eprints.uthm.edu.my/ |