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NON-OSCILLATORY COMPUTATION SCHEMES FOR VERTICAL PLANE 2-D SUSPENDED SEDIMENT TRANSPORT EQUATION

机译:垂直平面二维悬浮泥沙传输方程的非振动计算方案

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摘要

The method of fractional steps along the spatial direction is applied to split vertical plane 2-D suspended sediment transport equation into two 1-D advection-diffusion equations. Then two different computation schemes are proposed to solve them. Through comparison and analysis, this paper suggests that: as the advection process is weak in transport, the computation scheme (I) is proper through using a Crank-Nicholson (C-N) implicit difference scheme both in the x and y directions; as the advection process is preponderant in transport, the computation scheme (II) is very reasonable through using an exponential explicit difference scheme in the x direction and the C-N scheme in the y direction, respectively. Experimental results are used to verify two kinds of computation schemes, and good agreements between the calculated and measured results are obtained.
机译:运用沿空间方向的分数阶跃方法,将垂直平面二维悬浮泥沙运移方程式分解为两个一维对流扩散方程式。然后提出了两种不同的计算方案来解决它们。通过比较和分析,本文认为:由于对流过程运输较弱,因此通过在x和y方向上使用Crank-Nicholson(C-N)隐式差分方案,计算方案(I)是适当的;由于平流过程在运输中占优势,因此分别使用x方向的指数显式差分方案和y方向的C-N方案,计算方案(II)非常合理。实验结果被用于验证两种计算方案,并且在计算结果和测量结果之间取得了良好的一致性。

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