二维 Euler 方程的自适应非结构直角网格算法  

An Adaptively Refined Unstructured Cartesian Mesh Solver for 2 D Euler Equations

作　　者：董程栋[1] 黄明恪[1] 

机构地区：[1]南京航空航天大学

出　　处：《空气动力学学报》1998年第4期498-505,共8页Acta Aerodynamica Sinica

基　　金：国家航空基金

摘　　要：本文用四叉树型非结构直角网格和有限体积法求解了二维Ｅｕｌｅｒ方程。在基本网格生成过程中，采用了以几何外形为基础的网格加细方法，包括物面边界网格加细和曲率加细；并提出了一个用自适应的方法在激波处及其附近局部加细基本网格的过程，提高了激波分辨率。在计算中将结构网格中经常采用的以中心差分为基础的Ｊａｍｅｓｏｎ的有限体积法做了推广，减少了计算工作量，节省了机时，为今后推广到三维创造条件。本文对单个翼型、多段翼型、钝体绕流等问题进行了数值实验。结果表明，本算法具有收敛速度快、分辨率高、节省机时等特点。In this article,a method for adaptive refinement and finite volume of an unstructured cartesian mesh for the solution of the steady Euler equations is presented.The algorithm creats an initial uniform mesh and cuts the body out of that mesh.The mesh is then refined based on a body curvature.Next,the solution is converged to a steady state using the Jameson’s finite volume solver.Solution adaptive refinement of the mesh is applied to resolve high gradient regions of the flow.The numerical results show that solutions for complex geometries may be undertaken without difficult set up procedures and that consumption of CPU time is reduced.It is convenient to be extended to 3 D problems.

关 键 词：非结构网格 直角网格 自适应 有限体积法 翼型 

分 类 号：V211.41[航空宇航科学与技术—航空宇航推进理论与工程] V211.3