ROTATIONAL FLUID-FLOW USING A LEAST-SQUARES COLLOCATION TECHNIQUE

被引：12

作者：

BURGESS, G ^{[1
]}

MAHAJERIN, E ^{[1
]}

机构：

[1] MICHIGAN STATE UNIV,DEPT MET MECHAN & MAT SCI,E LANSING,MI 48824

来源：

COMPUTERS & FLUIDS | 1984年 / 12卷 / 04期

关键词：

COMPUTER PROGRAMS - Applications - FLUID DYNAMICS - Computer Aided Analysis - MATHEMATICAL TECHNIQUES - Least Squares Approximations;

D O I：

10.1016/0045-7930(84)90012-4

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A potential theory approach for incompressible viscous flow which leads to the biharmonic equation is first developed. A numerical least squares collocation technique using fundamental singular solutions of the biharmonic equation is then applied to a rotational flow problem with moving boundaries that produce discontinuous boundary conditions associated with the biharmonic. It is shown that the least squares technique smoothes out local disturbances in boundary data of the type which are likely to present difficulties to the more commonly used boundary element method. A compact computer program for the method and the results for the problem of a rectangular channel with one moving boundary are included along with an experimental verificaiton of the results using the thin plate bending analogy. The computer program FLOWSUP is given in the Appendix.

引用

页码：311 / 317

页数：7