三维Euler方程的自适应八叉树结构直角网格算法

An Adaptively Refined Octree Cartesian Mesh Solver for 3 D Euler Equations

给出了三维自适应八叉树结构直角网格的生成方法，采用了以几何外形为基础的网格加细方法，并解决了网格生成过程中的若干难点，使网格生成更简便迅速，产生的网格更适合于Ｅｕｌｅｒ方程计算。在计算中采用以中心差分为基础的Ｊａｍｅｓｏｎ的有限体积法和以面为基础的通量计算方法，减少了工作量。在物面边界处采用通量分解的方法实现边界条件，简单易行。本文对前机身、单个及多个外挂等问题进行了数值实验。结果表明，计算与实验符合较好。

A method for adaptive refinement and finite volume of an Octree structure Cartesian mesh for the solution of the steady Euler equations is presented. The algorithm creates an initial uniform mesh and cuts the body out of that mesh. The mesh is then refined based on configurations. Next, the solution is converged to a steady state using Jameson′s finite volume solver. The numerical results show that solutions for complex configurations may be undertaken without difficult set up procedures, and consumption of CPU time is reduced. It is convenient for 3 D problems.