Title: The Galerkin least squares MLPG method for convection-dominated problems

Authors: Xue Hong Wu

Addresses: School of Energy and Power Engineering, Zhengzhou University of Light Industry, Zhengzhou, Henan, 450002, China

Abstract: The meshless method has been widely applied in the computational mechanics, materials science, computational heat transfer and fluid flow. However, the development of a high efficient method for convection term in the computational fluid dynamics is difficult. In this paper, a truly meshless method of the meshless local Petrov-Galerkin (MLPG) method was applied to solve convection-diffusion problem. Meanwhile, the Galerkin least squares (GLS) approximation method was proposed to overcome the influence of convection term. The accuracy and efficiency of the present method were validated by some cases with benchmark solutions. The computational results showed that the GLS method could be used in dealing with convection-diffusion problems with high computational precision.

Keywords: upwind scheme; GLS method; SUPG method; MLPG method; meshless method.

DOI: 10.1504/PCFD.2021.115131

Progress in Computational Fluid Dynamics, An International Journal, 2021 Vol.21 No.3, pp.186 - 193

Accepted: 03 Apr 2020
Published online: 19 May 2021 *

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