界面不稳定性的自适应欧拉数值计算

采用欧拉网格自适应算法数值模拟Richtmyer Meshkov和Rayleigh Taylor不稳定多介质流界面,获得了高精度界面特征。对不同流体引入不同位标函数跟踪界面运动,将位标函数方程与流体动力学方程耦合求解,在笛卡儿坐标系中运用二阶精度有限体积算法,保持流场守恒条件下,通过采用多层网格级对笛卡儿网格嵌套细化,从而实现多介质流体界面的高精度自适应跟踪。给出的方法逻辑简单,可以大大节省CPU时间。

High resolution Eulerian adaptive algorithmfor interfaces instability

Richtmyer Meshkov and Rayleigh Taylor multi flu id interface instability problems are simulated by using high resolution Eulerian adaptive algorithm. We applied Level Set (LS) function for capturing multi flui d interfaces, and the different fluid corresponding for different level. These L S equations together with fluid dynamic Eulerian equations are solved dependentl y. An adaptive mesh refinement (AMR) method based on the Cartesian grids also di scussed at the same time. This method can be automatically adaptive refinement g rids and promotes the accuracy of the solution. Some examples are given by using this method, and save CPU greatly. WT5HZ]