一种三维数值方法及其应用分析

A Class Numerical Method and Its Applied Analysis

为了提高包含有交界面的三维复杂流动问题的求解精度,将二维坐标系中的Youngs算法公式推 广到三维坐标系应用,根据流体体积分数的定义,在二维直角坐标系Youngs算法的基础上,把介质分界面近 似为平面,通过引入修正系数,实现了Youngs算法在三维坐标系中的应用,给出计算方法,并编写程序进行算 例验证,数值模拟了具有复杂边界的空中爆炸形成冲击波的形成和传播过程,通过数值试验,证明了Youngs 算法在三维坐标系中成功的应用．

To more accurately solve 3D complex fluid with interface, Youngs＇ method for three dimensional coordinate systems is developed. Based on its algorithm for 2D Cartesian coordinate systems, definition of the function of volume of fluid, approximating interface to plane, and a method of revised coefficient is introduced, Youngs＇ method is devolped for 3D coordinate system. Computing methods and its codes MMIC3D are obtained, which can simulate formation of shock waves and their propagation in 3D explosive fields with complex boundaries. By testing of numerical experiments, Youngs＇ methods are proved to be effective in 3D coordinate systems.