Radial basis function meshless method for the steady incompressible Navier-Stokes equations

被引：45
|
作者：
Chinchapatnam, Phani P. [1 ]
Djidjeli, K. [1 ]
Nair, Prasanth B. [1 ]
机构：
[1] Univ Southampton, Computat Engn & Design Grp, Southampton SO17 1BJ, Hants, England
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2007年 / 84卷 / 10期
关键词：
meshfree; meshless; radial basis functions; Navier-Stokes; convection;
D O I：
10.1080/00207160701308309
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A meshless collocation method based on radial basis functions is proposed for solving the steady incompressible Navier-Stokes equations. This method has the capability of solving the governing equations using scattered nodes in the domain. We use the streamfunction formulation, and a trust-region method for solving the nonlinear problem. The no-slip boundary conditions are satisfied using a ghost node strategy. The efficiency of this method is demonstrated by solving three model problems: the driven cavity flows in square and rectangular domains and flow over a backward-facing step. The results obtained are in good agreement with benchmark solutions.
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页码：1509 / 1526
页数：18
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