匹配渐进展开法求Navier-Stokes方程的渐进解  

Matched asymptotic expansion method for asymptotic solution of Navier-Stokes equations

作　　者：王笑岩[1] 王石[2] 

机构地区：[1]朝阳师范高等专科学校数学计算机系,辽宁朝阳122000 [2]沈阳农业大学工程学院,辽宁沈阳110866

出　　处：《渤海大学学报（自然科学版）》2013年第2期110-114,共5页Journal of Bohai University:Natural Science Edition

基　　金：辽宁省高教学会"十二五"高等教育科研项目(No:GHYB110216)

摘　　要：提出一种基于匹配渐进展开法对Navier-Stokes方程进行渐进展开求得渐进合成解的方法.在边界层根据边界条件并利用坐标变换放大坐标的方法解出两个同轴旋转圆柱间流体流动Navier-Stokes方程的内解,并在Navier-Stokes方程的外解已经解出的基础上根据内、外解的匹配原则对内、外解进行匹配,从而解出具有二阶有效、简洁的渐进合成解.通过举例证明,该合成解准确性好并且与基本流接近程度很好.Based on the matching asymptotic expansion method,the authors develop a new method to solute the composite solution for the Navier-Stokes equation.The interior solution of Navier-Stokes equation is solved by using the boundary conditions and the way of coordinate transformation at boundary region.In accordance to the matching of outer solution and interior solution,the second,effective and concise gradual composite solution is solved and this method is on the basis of the finished outer solution.For example,the accuracy and the degree of closeness to the basic flow is very well..

关 键 词：匹配渐进展开法 NAVIER-STOKES方程 摄动方法 内解 合成解 

分 类 号：O357[理学—流体力学]