Oscillation‐Free Solution of Shallow Water Equations for Nonstaggered Grid
Oscillation‐Free Solution of Shallow Water Equations for Nonstaggered Grid
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DOI：
10.1061/(asce)0733-9429(1993)119:10(1118
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发表时间：
1993-10
影响因子：
2.4
通讯作者：
R. Szymkiewicz
中科院分区：
文献类型：
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作者：
R. Szymkiewicz
本文描述了非交错网格点上浅水方程的求解方法。浅水方程根据自变量x和y以及物理过程被分解。这样的过程将二维问题的解简化为多个一维问题的解。在有限差分法和有限元方法的基础上，利用非交错数值网格对这些一维方程进行了空间离散。应用的逼近格式确保了一个光滑的解，没有“2Δ”类型的振荡。
This paper contains a description of the method for the solution of the shallow water equations on nonstaggered grid points. The shallow water equations are split up in relation to the independent variables x and y as well as physical processes. Such a procedure reduces a solution of two‐dimensional problem to the solution of a number of one‐dimensional problems. A spatial discretization of these one‐dimensional equations is based on the finite difference method and the finite element method with the use of the nonstaggered numerical grid. The applied schemes of approximation ensure a smooth solution without oscillations of type “2Δ.”