浅水方程

 浅水方程
    Firstly, based on the Roe type approximate Riemann solver, the one-dimensional model is presented for the shallow water equation with source terms.
    首先,以Roe类型的近似Riemann解为基础,建立了一维带源项浅水方程的通量平衡Godunov求解格式。
短句来源
    An initial-boundary value problem for a shallow water equation system consisting of water dynamics equations, silt transport equation, and the equation of bottom topography change, and of some boundary and initial conditions is studied in the paper. The existence of its generalized solution, semidiscrete and fully discrete mixed finite element (MFE) solution is discussed, and the error estimates of the semidiscrete MFE solution are derived. The error estimates are optimal.
    本文研究由水动力方程、泥沙输运方程和床底变化方程组成的浅水方程的初边值问题,讨论其广义解和混合有限元解的存在性,并导出半离散混合有限元解的误差估计,这些估计是最优阶的;
短句来源
    Based on the Finite Volume Methods(FVM),model system is developed to solve the 2Dshallow water equation and convection-diffusion equation.
    以有限体积法为核心,建立了求解二维浅水方程和对流扩散方程的模型体系。

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