三维飞船绕流问题的高精度迎风紧致差分格式

A High Order Upwind Compact Difference Scheme for Simulating 3-Dimensional Flow Fields

从迎风紧致逼近出发，给出了一个求解二维可压Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程的一种高精度的数值方法. 利用Ｓｔｅｇｅｒ－Ｗａｒｍｉｎｇ的通量分裂技术将守恒型方程小的流通向量分裂成２部分，在此基础上据风向构造逼近于无粘项的三阶迎风紧致有限差分格式．对方程中的粘性部分采用通常的二阶差分逼近．所建立的差分格式被用来数值求解了三维飞船绕流问题．

The difference scheme for 3-dimension compressible Navier-Stokes equations based on a third order up-wind compact scheme is considered. For the inviscid portion of the Navier-Stokes equations the flux vectors are split by using Steger-Warming's flux vectors splitting technique. The flux vectors are approximated by using upwind compact scheme. The accurate difference approximation is used for the viscous portion. The difference scheme is used to simulate 3-dimendion flow fields around a spaceship.