Study on computational efficiency of composite schemes for convection-diffusion equations using single-grid and multigrid methods
The computational efficiency of different composite schemes for the convection terms of the convection-diffusion equations is systematically studied in this paper. They are evaluated by the problems of lid-driven flow and natural convection in a square cavity, within the framework of single-grid and...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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The Japan Society of Mechanical Engineers
2015-04-01
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| Series: | Journal of Thermal Science and Technology |
| Subjects: | |
| Online Access: | https://www.jstage.jst.go.jp/article/jtst/10/1/10_2015jtst0009/_pdf/-char/en |
| _version_ | 1818394118562250752 |
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| author | Jingfa LI Bo YU Yi WANG Yawen TANG Huijie WANG |
| author_facet | Jingfa LI Bo YU Yi WANG Yawen TANG Huijie WANG |
| author_sort | Jingfa LI |
| collection | DOAJ |
| description | The computational efficiency of different composite schemes for the convection terms of the convection-diffusion equations is systematically studied in this paper. They are evaluated by the problems of lid-driven flow and natural convection in a square cavity, within the framework of single-grid and multigrid finite volume methods on collocated grids. For the convection schemes, the computational efficiencies of QUICK scheme and commonly used ten composite schemes (SMART, STOIC, MINMOD, etc.) are compared under the same calculation conditions. The influences of implementation strategy of composite schemes, grid number, Reynolds number and Rayleigh number on the computational efficiency are analyzed. It is found that the computational efficiency of composite schemes is close to that of QUICK scheme without extra calculation burden. |
| first_indexed | 2024-12-14T05:56:07Z |
| format | Article |
| id | doaj.art-3e09096cd1814c858d23ad9ddc31a9a4 |
| institution | Directory Open Access Journal |
| issn | 1880-5566 |
| language | English |
| last_indexed | 2024-12-14T05:56:07Z |
| publishDate | 2015-04-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Journal of Thermal Science and Technology |
| spelling | doaj.art-3e09096cd1814c858d23ad9ddc31a9a42022-12-21T23:14:33ZengThe Japan Society of Mechanical EngineersJournal of Thermal Science and Technology1880-55662015-04-01101JTST0009JTST000910.1299/jtst.2015jtst0009jtstStudy on computational efficiency of composite schemes for convection-diffusion equations using single-grid and multigrid methodsJingfa LI0Bo YU1Yi WANG2Yawen TANG3Huijie WANG4National Engineering Laboratory for Pipeline Safety, Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum (Beijing)National Engineering Laboratory for Pipeline Safety, Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum (Beijing)National Engineering Laboratory for Pipeline Safety, Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum (Beijing)National Engineering Laboratory for Pipeline Safety, Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum (Beijing)National Engineering Laboratory for Pipeline Safety, Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum (Beijing)The computational efficiency of different composite schemes for the convection terms of the convection-diffusion equations is systematically studied in this paper. They are evaluated by the problems of lid-driven flow and natural convection in a square cavity, within the framework of single-grid and multigrid finite volume methods on collocated grids. For the convection schemes, the computational efficiencies of QUICK scheme and commonly used ten composite schemes (SMART, STOIC, MINMOD, etc.) are compared under the same calculation conditions. The influences of implementation strategy of composite schemes, grid number, Reynolds number and Rayleigh number on the computational efficiency are analyzed. It is found that the computational efficiency of composite schemes is close to that of QUICK scheme without extra calculation burden.https://www.jstage.jst.go.jp/article/jtst/10/1/10_2015jtst0009/_pdf/-char/encomposite schemescomputational efficiencyquick schemesingle-gridmultigrid |
| spellingShingle | Jingfa LI Bo YU Yi WANG Yawen TANG Huijie WANG Study on computational efficiency of composite schemes for convection-diffusion equations using single-grid and multigrid methods Journal of Thermal Science and Technology composite schemes computational efficiency quick scheme single-grid multigrid |
| title | Study on computational efficiency of composite schemes for convection-diffusion equations using single-grid and multigrid methods |
| title_full | Study on computational efficiency of composite schemes for convection-diffusion equations using single-grid and multigrid methods |
| title_fullStr | Study on computational efficiency of composite schemes for convection-diffusion equations using single-grid and multigrid methods |
| title_full_unstemmed | Study on computational efficiency of composite schemes for convection-diffusion equations using single-grid and multigrid methods |
| title_short | Study on computational efficiency of composite schemes for convection-diffusion equations using single-grid and multigrid methods |
| title_sort | study on computational efficiency of composite schemes for convection diffusion equations using single grid and multigrid methods |
| topic | composite schemes computational efficiency quick scheme single-grid multigrid |
| url | https://www.jstage.jst.go.jp/article/jtst/10/1/10_2015jtst0009/_pdf/-char/en |
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