稳态Navier-Stokes问题边界积分方程的求积方法与外推  

Quadrature Methods and Their Extrapolations for Solving Boundary Integral Equations of Steady Navier-Stokes Problems

作　　者：吕涛[1] 

机构地区：[1]四川大学数学学院,成都610041

出　　处：《重庆建筑大学学报》2000年第6期41-44,共4页Journal of Chongqing Jianzhu University

摘　　要：采用简单迭代法解二维稳态 Navier-Stokes问题的非线性边界积分方程组 ,迭代的每一步皆归结于解非齐次 Stokes问题的边界积分方程组 ,故可用作者在 [1 ]中提供的高精度机械求积方法和外推法得到高精度解。本方法不仅能用外推提高精度 。This paper presents an iteration method of solving non linear boundary integral equations (BIE) of the plane Navier Stokes problem,which each step of the iteration is to solve a linear BIE of nonhomogeneous Stokes problem. Using the quadrature methods of [1],we give a new algorithm with a high order accuracy.The algorithm not only saves work,but also the accuracy can be improved by Richardson extrapolation.

关 键 词：NAVIER-STOKES问题 边界积分方程 求积方法 

分 类 号：O351.3[理学—流体力学]