Collocated discrete least squares (CDLS) meshless method for the stream function-vorticity formulation of 2D incompressible Navier-Stokes equations

被引：6

作者：

Lashckarbolok, M. ^{[1
]}

Jabbari, E. ^{[1
]}

机构：

[1] Iran Univ Sci & Technol, Sch Civil Engn, Tehran 16846, Iran

来源：

SCIENTIA IRANICA | 2012年 / 19卷 / 06期

关键词：

Meshless method; Stream function-vorticity formulation; Incompressible Navier-Stokes equations; Vorticity boundary condition; NATURAL-CONVECTION; SIMULATION; FLOWS; SCHEME;

D O I：

10.1016/j.scient.2012.09.004

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The Least squares approach is a robust and simple method for function approximation. Collocated Discrete Least Squares (CDLS) is a meshless method based on least squares technique enjoying symmetric and positive-definite properties. In this paper, the CDLS method is extended for the stream function-vorticity formulation of 2D incompressible Navier-Stokes equations. Shape functions are constructed using Radial Point Interpolation Method (RPIM) because of its robustness and simplicity. The accuracy of the proposed scheme is investigated through solving lid-driven cavity flow and backward facing step problems for the different Reynolds numbers. (C) 2012 Sharif University of Technology. Production and hosting by Elsevier B. V. All rights reserved.

引用

页码：1422 / 1430

页数：9

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