非正交曲线同位网格三维水动力数值模型

Nonorthogonal curvilinear collocated grid based 3-D hydrodynamic model

建立一个自由表面三维水动力学计算模型,平面采用贴体坐标变换,竖直方向σ坐标变换.基于有限体积法,同位网格布置即流速、压力布置于同一控制点上.自由表面由二维水深积分方程中的水位方程求解,运用SIMPLEC法求解速度压力耦合问题,动水压力校正方程校正压力和流速场.标准k ε紊流模型计算紊动粘性系统以封闭Reynolds应力项.运用该数值模型模拟S形弯道水流三维流动.

A 3D curvilinear collocated grid hydrodynamic model is developed based on the 2D model. In the horizontal xy plane, a boundaryfitting curvilinear coordinate system is adopted; in the vertical direction, a σcoordinate transformation is used to represent the free surface and bed topography. Then the total pressure is subdivided into the hydrostatic and residual hydrodynamic components, and the Kε turbulent flow model, nonstaggered curvilinear grid, momentum interpolation, and SIMPLEC algorithm are used to solve the basic equations. Finally, a 3D flow field in an 'S' type meandering channel is simulated by the present method, and the results are in good agreement with measured data.