弧形胸墙结构水动力特性的数值模拟

Numerical simulation of hydrodynamic pressure on the arc crown wall

针对笛卡尔坐标系下的VOF(volume of fluid)方法无法精确模拟复杂边界的自由表面流动问题,以连续方程和雷诺平均方程为基本控制方程,采用k-ε湍流模型来封闭方程组,修正了基于交错网格的贴体坐标系下的SIMPLE算法来迭代求解压力-速度场,修正了贴体坐标系下的界面跟踪方法,建立了基于BFC-VOF方法求解波浪对弧形胸墙结构作用的数值计算模型.对弧形胸墙结构附近的波面、流场及其所受波浪力等进行了数值模拟.研究结果表明:贴体网格模型能够精确模拟复杂边界的自由表面流动问题,模型计算的弧形胸墙迎浪面所受到的波浪力随着圆弧半径的增大而减小.

In order to solve the problems that viscous flows with free surfaces and complicated boundary shapes can- not be simulated accurately by using the volume of fluid （VOF） method in the Cartesian system, the BFC-VOF method was proposed to solve the interaction between waves and the arc crown wall. In the body-fitted coordinate （BFC） system, the governing equations contain the continuity equation and Reynolds equations. The two equations model was used to close the equations. The transformed SIMPLE algorithm in the BFC system based on the stag- gered grid was proposed to correct the pressure-velocity field by using the iteration method. The transformed VOF method was used to trace the free surface in the BFC system. The results around the arc crown wall computed by the BFC model were shown, for example, water surface, local velocity fields, wave force, etc. The results prove that the problems of viscous flows with free surfaces and complicated boundary shapes can be solved accurately by the BFC model. The wave force on the arc crown wall computed by the BFC model gets smaller with the increase of the arc radius of the arc crown wall.