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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SISSA, Int Sch Adv Studies, Math Area, MathLab, Via Bonomea 265, I-34136 Trieste, ItalySISSA, Int Sch Adv Studies, Math Area, MathLab, Via Bonomea 265, I-34136 Trieste, Italy
Girfoglio, Michele
Quaini, Annalisa
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Univ Houston, Dept Math, Houston, TX 77204 USASISSA, Int Sch Adv Studies, Math Area, MathLab, Via Bonomea 265, I-34136 Trieste, Italy
Quaini, Annalisa
Rozza, Gianluigi
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SISSA, Int Sch Adv Studies, Math Area, MathLab, Via Bonomea 265, I-34136 Trieste, ItalySISSA, Int Sch Adv Studies, Math Area, MathLab, Via Bonomea 265, I-34136 Trieste, Italy