通量差分裂格式的二维水流水质计算的适用性分析
Analysis of applicability of flux difference splitting scheme on 2D flow-pollutant calculation
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摘要: 将通量差分裂(FDS)格式应用于二维水流水质数值模拟中.应用若干理想条件下的简化模型对格式的计算精度进行分析,结果表明:FDS格式不仅能高精度地模拟浓度梯度较缓的污染物稳定排放情况,且其二阶格式能高分辨率捕俘水质间断,与理论值吻合很好,说明FDS二阶格式能高精度地计算污染物间断排放引起的大浓度梯度或水质突跃情况.该格式在长江南通江段水环境数值模拟中的应用验证了它的实际应用能力.Abstract: In this paper,The flux difference splitting(FDS) scheme is applied to two-dimension flow-pollutant numerical simulation.Some simplified models in ideal conditions are used to analyze the accuracy of FDS scheme.The model of steady point source discharge shows high accuracy.To reduce numerical diffusion in big concentration grades,a limited flux is added to the first order scheme so as to derive the second order scheme.The results of water quality discontinuities model prove that FDS second order scheme can catch discontinuities with so high resolution that it can accurately simulate big concentration grades or abrupt water quality jump.The successful application in water environment numerical simulation of Nantong section of Yangtze River ulteriorly validates the practical application ability of FDS scheme.