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NUMERICAL SIMULATION FOR 2D SHALLOW WATER EQUATIONS BY USING GODUNOV-TYPE SCHEME WITH UNSTRUCTURED MESH
作者姓名:PAN  Cun-hong  DAI  Shi-qiang  CHEN  Sen-mei
作者单位:PAN Cun-hong Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200436,China Zhejiang Institute of Hydraulics and Estuary,Hangzhou 310020,China DAI Shi-qiang Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200436,China CHEN Sen-mei Zhejiang Institute of Hydraulics and Estuary,Hangzhou 310020,China
摘    要:1. INTRODUCTION In general, the geometry of natural water areas, such as rivers, coasts and lakes, is irregular, so that the application of mathematical models with structured mesh is quite limited and the accuracy could not be ensured especially as the m…

关 键 词:二维浅水方程  有限体积法  FVM  Godunov型图  Riemann解
收稿时间:2005-11-30

NUMERICAL SIMULATION FOR 2D SHALLOW WATER EQUATIONS BY USING GODUNOV-TYPE SCHEME WITH UNSTRUCTURED MESH
PAN Cun-hong DAI Shi-qiang CHEN Sen-mei.NUMERICAL SIMULATION FOR 2D SHALLOW WATER EQUATIONS BY USING GODUNOV-TYPE SCHEME WITH UNSTRUCTURED MESH[J].Journal of Hydrodynamics,2006,18(4):475-480.
Authors:PAN Cun-hong  DAI Shi-qiang  CHEN Sen-mei
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 Wroc?aw, Poland
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.
Keywords:2D shallow water equations  Finite Volume Method (FVM)  unstructured mesh  Godunov-type scheme  Riemann solver  
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