复杂边界下三维水流数学模型的建立和验证

Formulation and verification of a three-dimensional mathematical model of flow transport with complicated boundaries

本文从底层开发了三维水流数学模型。模型使用平面正交坐标和立面为σ坐标来拟合河道平面形态、地形和自由水面的不规则分布。计算中采用同位网格布设方式和动量插值方法来避免棋盘压力分布。采用有限体积法(FVM)离散紊流方程,方程的对流项采用修正QUICK格式离散。采用SIMPLE C算法求解流速场和动水压力场。通过对弯道和深槽水流输运的验证表明计算结果和实测值吻合良好,模型能够用于复杂边界条件下水流输运数值计算。

In this paper, a three-dimensional numerical model of water flow is developed. The orthogonal and a grid systems in horizontal and vertical direction are used respectively to fit the irregular distribution of channel plane, bed topography and water surface. The collocated grid arrangements and momentum interpolated method are utilized to avoid the distribution of the checkerboard pressure in the calculation. The turbulent flow equations are solved by the finite-volume method and the modified quick scheme is utilized for the advection term. The SIMPLE C method is used to solve the hydrodynamic pressure distribution and the flow velocity field. The calculated results of flow in the curved channel and deep trench are well agreed with the measured values. It shows that the model can be applied to simulate the flow transport with complicated boundaries.