NUMERICAL SIMULATION FOR 2D SHALLOW WATER EQUATIONS BY USING GODUNOV-TYPE SCHEME WITH UNSTRUCTURED MESH |
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| Authors: | PAN Cun-hong DAI Shi-qiang CHEN Sen-mei |
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| Affiliation: | 1. Institute of Physics, University of Zielona Góra, ul. Prof. Z. Szafrana 4a, 65-516 Zielona Góra, Poland;2. Institute of Molecular Physics, Polish Academy of Sciences, ul. M. Smoluchowskiego 17, 60-179 Poznań, Poland;3. Institute of Low Temperature and Structure Research PAN, ul. Okólna 2, 50-422 Wrocław, Poland |
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| Abstract: | In order to establish a well-balanced scheme, 2D shallow water equations were transformed and solved by using the Finite Volume Method (FVM) with unstructured mesh. The numerical flux from the interface between cells was computed with an exact Riemann solver, and the improved dry Riemann solver was applied to deal with the wet/dry problems. The model was verified through computing some typical examples and the tidal bore on the Qiantang River. The results show that the scheme is robust and accurate, and could be applied extensively to engineering problems. |
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| Keywords: | 2D shallow water equations Finite Volume Method (FVM) unstructured mesh Godunov-type scheme Riemann solver |
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