A New Well-Balanced Reconstruction Technique for the Numerical Simulation of Shallow Water Flows with Wet/Dry Fronts and Complex Topography
This study develops a new well-balanced scheme for the one-dimensional shallow water system over irregular bed topographies with wet/dry fronts, in a Godunov-type finite volume framework. A new reconstruction technique that includes flooded cells and partially flooded cells and preserves the non-neg...
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MDPI AG
2018-11-01
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| Series: | Water |
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| Online Access: | https://www.mdpi.com/2073-4441/10/11/1661 |
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doaj-4bc3bf4db4df4e688eece4b9c2701a932020-11-25T00:33:28ZengMDPI AGWater2073-44412018-11-011011166110.3390/w10111661w10111661A New Well-Balanced Reconstruction Technique for the Numerical Simulation of Shallow Water Flows with Wet/Dry Fronts and Complex TopographyZhengtao Zhu0Zhonghua Yang1Fengpeng Bai2Ruidong An3State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, ChinaState Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, ChinaChangjiang Water Resources Protection Institute, Wuhan 430072, ChinaState Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu 610065, ChinaThis study develops a new well-balanced scheme for the one-dimensional shallow water system over irregular bed topographies with wet/dry fronts, in a Godunov-type finite volume framework. A new reconstruction technique that includes flooded cells and partially flooded cells and preserves the non-negative values of water depth is proposed. For the wet cell, a modified revised surface gradient method is presented assuming that the bed topography is irregular in the cell. For the case that the cell is partially flooded, this paper proposes a special reconstruction of flow variables that assumes that the bottom function is linear in the cell. The Harten⁻Lax⁻van Leer approximate Riemann solver is applied to evaluate the flux at cell faces. The numerical results show good agreement with analytical solutions to a set of test cases and experimental results.https://www.mdpi.com/2073-4441/10/11/1661finite volume methodshallow water flowwell-balanced schemereconstruction techniqueflooded and partially flooded cells |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Zhengtao Zhu Zhonghua Yang Fengpeng Bai Ruidong An |
| spellingShingle |
Zhengtao Zhu Zhonghua Yang Fengpeng Bai Ruidong An A New Well-Balanced Reconstruction Technique for the Numerical Simulation of Shallow Water Flows with Wet/Dry Fronts and Complex Topography Water finite volume method shallow water flow well-balanced scheme reconstruction technique flooded and partially flooded cells |
| author_facet |
Zhengtao Zhu Zhonghua Yang Fengpeng Bai Ruidong An |
| author_sort |
Zhengtao Zhu |
| title |
A New Well-Balanced Reconstruction Technique for the Numerical Simulation of Shallow Water Flows with Wet/Dry Fronts and Complex Topography |
| title_short |
A New Well-Balanced Reconstruction Technique for the Numerical Simulation of Shallow Water Flows with Wet/Dry Fronts and Complex Topography |
| title_full |
A New Well-Balanced Reconstruction Technique for the Numerical Simulation of Shallow Water Flows with Wet/Dry Fronts and Complex Topography |
| title_fullStr |
A New Well-Balanced Reconstruction Technique for the Numerical Simulation of Shallow Water Flows with Wet/Dry Fronts and Complex Topography |
| title_full_unstemmed |
A New Well-Balanced Reconstruction Technique for the Numerical Simulation of Shallow Water Flows with Wet/Dry Fronts and Complex Topography |
| title_sort |
new well-balanced reconstruction technique for the numerical simulation of shallow water flows with wet/dry fronts and complex topography |
| publisher |
MDPI AG |
| series |
Water |
| issn |
2073-4441 |
| publishDate |
2018-11-01 |
| description |
This study develops a new well-balanced scheme for the one-dimensional shallow water system over irregular bed topographies with wet/dry fronts, in a Godunov-type finite volume framework. A new reconstruction technique that includes flooded cells and partially flooded cells and preserves the non-negative values of water depth is proposed. For the wet cell, a modified revised surface gradient method is presented assuming that the bed topography is irregular in the cell. For the case that the cell is partially flooded, this paper proposes a special reconstruction of flow variables that assumes that the bottom function is linear in the cell. The Harten⁻Lax⁻van Leer approximate Riemann solver is applied to evaluate the flux at cell faces. The numerical results show good agreement with analytical solutions to a set of test cases and experimental results. |
| topic |
finite volume method shallow water flow well-balanced scheme reconstruction technique flooded and partially flooded cells |
| url |
https://www.mdpi.com/2073-4441/10/11/1661 |
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