通量向量分裂格式的二维水流-水质模拟

FVS scheme in 2-D depthaveraged flowpollutants modeling

在有限体积法框架下应用通量向量分裂(FVS)格式进行平面二维水流 水质模拟。通过对偏微分方程进行有限体积的积分离散、利用通量的旋转不变性,把二维问题转化为一系列局部的一维问题进行求解,采用FVS格式计算各跨单元边界的水量、动量及污染物输运等通量。应用该格式计算了理想条件下的浓度输移,其结果与精确解拟合很好;模拟了长江江苏靖江段的水质及污染带,计算结果与水质监测值相当吻合,为长江江苏干流段水质评价提供了科学依据。

Developed in the framework of the finite volume method, the flux vector splitting (FVS) scheme is employed for flowpollutants simulation Upon integrating the governing differential equations over an arbitrary cell and using the rotational invariance property of the flux, a 2D problem is transferred into solving a series of local 1D problem The numerical normal flux of variables across the interface between cells is estimated by the FVS scheme Two applications are used to examine the scheme capabilities Simulated results match the exact solutions very well The comparison between computed results and observations in Jiangsu Reach of Yangtze River demonstrates good agreement