曲线坐标系二维带自由表面强紊动水流数值模拟

将追踪自由表面的流体体积(VOF)法应用于曲线坐标系下水流控制方程的求解中,计入流线弯曲对水流紊动特性的影响,建立了垂向二维强紊动水流的曲率修正的紊流模型,并对溢流坝反弧段的紊流特性进行了数值模拟。数值计算时,采用有限体积法离散水流的控制方程;物理变量,如:压力P、紊动参量κ、ε、γt等,采用交错方式排列(交错网格布置),用SIMPLEC算法求解离散方程。计算结果表明,得到的溢流坝反弧段的自由表面位置、速度场、压力场、剪应力分布和紊动能分布与实验结果吻合良好。

Numerical simulation of two-dimensional strong turbulence flow with free surface in orthogonal curvilinear coordinate system

This paper is concerned with a mathematical model for two-dimensional strong turbulence flow with free surface including the effects of streamline curvature in orthogonal curvilinear coordinate system,with which the characteristics of the turbulence flow field on the ogee spillway is numerical simulated.In the numerical simulation,the flow control equation in orthogonal curvilinear coordinate system is discretized by the finite volume method; the physical parameters,pressure P,U,V,κ,ε,γ,etc.,are arranged on a staggered grid; the discretized equations are solved by SIMPLEC method; and the complex free surface is dealt with VOF method.The computed results show that the velocity fields,pressure field,shear stress distribution and kinetic energy of turbulent flow on the ogee spillway are in agreement with the experimental data.