| 基于和谐性离散格式求解带源项的二维浅水方程 |
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| 引用本文： | 王昆,金生,马志强,高述峰.基于和谐性离散格式求解带源项的二维浅水方程[J].水动力学研究与进展(A辑),2009,24(5). |
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| 作者姓名： | 王昆 金生 马志强 高述峰 |
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| 作者单位： | 大连理工大学土木水利学院海岸和近海工程国家重点实验室,辽宁大连,116024 |
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| 摘 要： | 本文采用基于HLL近似Riemann解的Godunov格式,在三角形网格下,建立了二维浅水方程的有限体积数值离散模型.底坡源项采用与静压梯度项统一的矩阵散度处理方式,并证明了格式具备和谐性.通过算例验证了格式的有效性.
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| 关 键 词： | 二维浅水方程 源项 和谐性 |
On a well-balanced discretization scheme for two-dimensional shallow water equations with source terms |
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| WANG Kun,JIN Sheng,MA Zhi-qiang,GAO Shu-feng.On a well-balanced discretization scheme for two-dimensional shallow water equations with source terms[J].Journal of Hydrodynamics,2009,24(5). |
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| Authors: | WANG Kun JIN Sheng MA Zhi-qiang GAO Shu-feng |
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| Affiliation: | State Key Laboratory of Coastal and Off shore Engineering;Dalian University of Technology;Dalian 116024;China |
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| Abstract: | Based on Godunov scheme of the HLL's approximate Riemann solver and using the triangular grids, a finite volume numerical discrete model of two-dimensional shallow water is proposed.In the proposed method, the bed slope source term takes the same treatment for the divergence of matrix as that of the gradient of static pressure.It is confirmed by an algebraic manipulation that the scheme possesses well balance.The good quality of the result s is illustrated by means of several examples including shallow wate... |
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| Keywords: | HLL |
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