一种物理量重映方法的研究

§1.引 言 求解流体力学问题,依照采用的坐标可分为Lagrange方法和Euler方法两大类[1].用拉氏方法局部图像可以算得比较精细,物质界面清晰,但是由于二维流体运动中可能出现严重的扭曲现象,可能造成拉氏网格相交,以致于计算不能继续下去.欧拉方法当然没有网格相交的问题,但当系统中含有多种介质时,不加特殊处理,会使物质界面逐渐模糊,得不到正确的结果.为了避免拉氏方法和欧氏方法的缺点,Frank.Lazarus(1964)提出了一种混合欧拉拉格朗日方法,Noh(1964)的耦合欧拉拉格朗日方法(CEL方法),则是将求

AN RESEARCH IN REMAPPING TECHNIQUES

The ALE (Arbitrary Lagrange-Euler) method is important that the periodic remapping of conserved quantities such as mass, momentum, and energy from one old, distorted mesh to another new mesh is considered in Lagrangian hydrodynamics calculation to simulate large deformation problems. A new conservative remapping technique for arbitrary meshes, especially for structured grids and unstructured grids, is presented in this paper. It is effective that the techniques are applied to modeling of examples by numerical experiments. Results are very helpful to the study of remapping techniques in numerical simulation.