数值求解Navier—Stokes方程的迎风紧致差分格式

从迎风紧致逼近^1]出发，提出数值求解可压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^2]将守恒型方程中的流通向量分裂成两部分，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粘性绕流问题。

A high order accurate upwind compact scheme for solving Navier-Stokes equations

A upwind compact scheme 1] for solving compressible Navier\|Stokes equations is described in this paper. For the inviscid portion of the Navier\|Stokes equations the flux vectors are split by using Steger\|Warming's flux vectors splitting technique 2] . The flux vectors are approximated by using the upwind compact scheme. Second order accurate difference approximation is used for the viscous portion. Obtained difference scheme is used to solve 3-D flow fields around a vehicle.