Source term treatment of SWEs using surface gradient upwind method
Owing to unpredictable bed topography conditions in natural shallow flows, various numerical methods have been developed to improve the treatment of source terms in the shallow water equations. The surface gradient method is an attractive approach as it includes a numerically simple approach to mode...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2013
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| Online Access: | https://hdl.handle.net/10356/96824 http://hdl.handle.net/10220/11642 |
| _version_ | 1826116690941837312 |
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| author | Pu, Jaan Hui Cheng, Nian-Sheng Tan, Soon Keat Shao, Songdong |
| author2 | School of Civil and Environmental Engineering |
| author_facet | School of Civil and Environmental Engineering Pu, Jaan Hui Cheng, Nian-Sheng Tan, Soon Keat Shao, Songdong |
| author_sort | Pu, Jaan Hui |
| collection | NTU |
| description | Owing to unpredictable bed topography conditions in natural shallow flows, various numerical methods have been developed to improve the treatment of source terms in the shallow water equations. The surface gradient method is an attractive approach as it includes a numerically simple approach to model flows over topographically-varied channels. To further improve the performance of this method, this study deals with the numerical improvement of the shallow-flow source terms. The so-called surface gradient upwind method (SGUM) integrates the source term treatment in the inviscid discretization scheme. A finite volume model (FVM) with the monotonic upwind scheme for conservative laws is used. The Harten–Lax–van Leer-contact approximate Riemann solver is used to reconstruct the Riemann problem in the FVM. The proposed method is validated against published analytical, numerical, and experimental data, indicating that the SGUM is robust and treats the source terms in different flow conditions well. |
| first_indexed | 2024-10-01T04:15:31Z |
| format | Journal Article |
| id | ntu-10356/96824 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:15:31Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/968242020-03-07T11:43:36Z Source term treatment of SWEs using surface gradient upwind method Pu, Jaan Hui Cheng, Nian-Sheng Tan, Soon Keat Shao, Songdong School of Civil and Environmental Engineering Maritime Research Centre Owing to unpredictable bed topography conditions in natural shallow flows, various numerical methods have been developed to improve the treatment of source terms in the shallow water equations. The surface gradient method is an attractive approach as it includes a numerically simple approach to model flows over topographically-varied channels. To further improve the performance of this method, this study deals with the numerical improvement of the shallow-flow source terms. The so-called surface gradient upwind method (SGUM) integrates the source term treatment in the inviscid discretization scheme. A finite volume model (FVM) with the monotonic upwind scheme for conservative laws is used. The Harten–Lax–van Leer-contact approximate Riemann solver is used to reconstruct the Riemann problem in the FVM. The proposed method is validated against published analytical, numerical, and experimental data, indicating that the SGUM is robust and treats the source terms in different flow conditions well. 2013-07-17T02:28:30Z 2019-12-06T19:35:28Z 2013-07-17T02:28:30Z 2019-12-06T19:35:28Z 2012 2012 Journal Article Pu, J. H., Cheng, N.-S., Tan, S. K., & Shao, S. (2012). Source term treatment of SWEs using surface gradient upwind method. Journal of Hydraulic Research, 50(2), 145-153. https://hdl.handle.net/10356/96824 http://hdl.handle.net/10220/11642 10.1080/00221686.2011.649838 en Journal of hydraulic research © 2012 International Association for Hydro-Environment Engineering and Research. |
| spellingShingle | Pu, Jaan Hui Cheng, Nian-Sheng Tan, Soon Keat Shao, Songdong Source term treatment of SWEs using surface gradient upwind method |
| title | Source term treatment of SWEs using surface gradient upwind method |
| title_full | Source term treatment of SWEs using surface gradient upwind method |
| title_fullStr | Source term treatment of SWEs using surface gradient upwind method |
| title_full_unstemmed | Source term treatment of SWEs using surface gradient upwind method |
| title_short | Source term treatment of SWEs using surface gradient upwind method |
| title_sort | source term treatment of swes using surface gradient upwind method |
| url | https://hdl.handle.net/10356/96824 http://hdl.handle.net/10220/11642 |
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