一种求解可压缩Navier-Stokes方程的隐式迭代时间推进方法  

Implicit Iteration Time-advancement Scheme for Compressible Navier-Stokes Equations

作　　者：高慧[1] 周晓君[1] 

机构地区：[1]中国石油大学石油工程学院,山东东营257061

出　　处：《计算物理》2008年第1期51-57,共7页Chinese Journal of Computational Physics

摘　　要：针对有壁面边界的可压缩流动问题,提出与基于非等距网格的高精度紧致型差分格式相结合的简化隐式迭代时间推进法,建立求解可压缩Navier-Stokes方程的直接数值模拟方法,提高了计算效率.应用该方法,直接数值模拟两种有壁面边界的二维可压缩流动问题,即可压缩平板边界层流动和可压缩槽道流动.According to the characteristics of compressible flows with wall boundary conditions, a simplified iterative-implicit timeadvancement scheme combined with high order compact difference schemes based on a non-uniform grid system is proposed to solve compressible Navier-Stokes equations, An iteration convergence criterion is given. The computational efficiency is greatly improved. The new scheme is applied to simulate two-dimensional compressible flat-plat laminar boundary layer flows and two-dimensional compressible channel flows.

关 键 词：可压缩流动 边界层 隐式迭代法 NAVIER-STOKES方程 

分 类 号：O357.5[理学—流体力学]