曲线坐标系下平面二维水流水质模型的修正

Modification of 2D shallow water and water quality model in curvilinear coordinates

采用边界处正交的曲线网格生成技术处理水流不规则的计算区域边界,基于有关弯道水流流速分布的研究成果,计入弯道环流引起的横向的动量交换,建立了曲线坐标系修正的平面二维水流水质数学模型.采用修正后的模型对实际弯道水流和污染物的扩散输移进行了数值模拟,并与原模型的计算结果及实测资料进行了比较,结果表明该模型能够有效地模拟流线弯曲的复杂水流的水力特性和水质分布.

This paper is concerned with the modification of horizontal 2D shallow water and water quality model in curvilinear coordinates for numerical simulation of bend-flows. The commonly-used two-dimensional horizontal shallow water and water quality model in a curvilinear coordinate system is modified considering the transverse momentum exchanges caused by the secondary flows in channel bends according to the past research results. The adopted curvilinear coordinate system has been generated by using a proposed boundary-fitted coordinate technology, with which a curvilinear grid being orthogonal near the boundaries can be obtained. By using the modified mathematical model, the behaviors of the flows and water quality through the curved channel have been computed; and the computed results coincide well with the measured data.