Euler方法中的不分裂输运算法

Unsplit Transport Method in Eulerian Method

为解决用Euler方法求解多种介质的流体力学问题时,物质的输运中维数分裂算法容易出现重复或遗漏的问题,以Youngs界面重构技术为基础,输运步中采用维数不分裂算法,除了考虑相邻4个网格的输运外,同时还考虑斜对角网格的输运计算,有效地解决了消除重复或遗漏输运的问题.论证了不分裂算法的合理性,给出了向相邻8个网格输运的所有可能分配量的表达式.数值模拟结果表明,不分裂输运算法的精度有所提高.

The transport repetition or transport missing will appear when dealing with the problems of multi-material hydrodynamics using dimension split method in the Eulerian process. Based on Youngs＇ interface reconstruction algorithm, the dimensional unsplit method is introduced in transport calculation in which not only four neighboring cells are considered, but the diagonal ones also. This method can avoid the problems of transport repetition or transport missing effectively. The rationality of unsplit method is proved and all of the possible distribution modes to eight neighboring cells are given. Simulation results proved that precision of the unsplit method could be much higher.