人工压缩方程的OBLC区域分解法

Obic Dmain Decomposition for Artificial Compressible Equation

本文根据物理尺度的区域分解法￣［１］，［２］，从奇异摄动的观点把解分为外部解和边界层校正，两者在固定的物面边界上藕合，这样对不同的尺度区域，可用不同的简化方程及计算方法。本文给出了人工压缩Ｎ－Ｓ方程的特征性质及其合适的边界提法，计算的例子表明，精度和效率是满意的。

This paper is a continuation of the domain decomppsition method according to tke physics scale proposed in[ 1] and[ 2] . Starting from systems of ordinary dif-ferential equations. a solution is decomposed into an outer solution (0)and its boundary layer correction (BLC)which meets on the fixed boundary for efficient numerical solution, different equations. different numerical methods and dif-ferent grids can be suitably chosen for the different scales. This paper also gives the claracteristic nature and well-posed boundary condition about artificial com-pressib equations. Numerical experiments show the computational method and the couple process presented in the paper are effective.