应用等位函数法模拟溃坝流动

Applying Level Set Method to Simulate Dam Break Flow

采用等位函数法配合三维不可压缩纳维叶-斯托克斯方程式的计算方法求解溃坝流场。控制方程式采用有限差分法求解,并利用投影法导出压力的波松方程,使得能自动满足连续方程式。此外,利用了WENO法求解等位函数方程的空间离散项。最后以三维溃坝问题做计算,发现数值计算结果与试验数据相当吻合,显示出数值模式的成功。

This paper applies the level set method in combination with the three dimensional incompressible Navier-Stokes equations to simulate dam-break flows. The finite difference method is employed to discretize the governing equations and the projection method is used to derive a pressure Pois,son equation that can ensure the satisfaction of continuity equation. In addition, the WENO method may solve the space discrete items of the level set equation. Finally, a 3D dam break computation is presented. The simulated results are in excellent agreement with experimental data. The numerical model is demonstrated to be successful.