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
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.
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页码:1422 / 1430
页数:9
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