潘存鸿, 林炳尧, 毛献忠. 一维浅水流动方程的Godunov格式求解[J]. 水科学进展, 2003, 14(4): 430-436.
引用本文: 潘存鸿, 林炳尧, 毛献忠. 一维浅水流动方程的Godunov格式求解[J]. 水科学进展, 2003, 14(4): 430-436.
PAN Cun-hong, LIN Bing-yao, MAO Xian-zhong. A Godunov-type scheme for 1-D shallow-water flow with uneven bottom[J]. Advances in Water Science, 2003, 14(4): 430-436.
Citation: PAN Cun-hong, LIN Bing-yao, MAO Xian-zhong. A Godunov-type scheme for 1-D shallow-water flow with uneven bottom[J]. Advances in Water Science, 2003, 14(4): 430-436.

一维浅水流动方程的Godunov格式求解

A Godunov-type scheme for 1-D shallow-water flow with uneven bottom

  • 摘要: 以准确Riemann解为基础,建立了求解一维非平底浅水流动方程的Godunov格式,用"水位方程法(WaterLevel Formulation,WLF)"求解Riemann解,结合中心差分和Riemann解离散底坡项,保证了计算格式的和谐性.经算例验证,方法健全、通用,且分辨率高.

     

    Abstract: Based on exact the Riemann solution,this paper presents a Godunov-type scheme for 1-D shallow-water equations with uneven bottom.Central difference and the Riemann solution with "water level formulation" are used in the discretisation of the source term to keep the scheme well-balanced.Numerical experiments are presented to demonstrate that the scheme is robust,versatile and high in resolution.

     

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