Title: MLPG method for convection-dominated flow problems

Authors: Xue-Hong Wu; Zhi-Juan Chang; Wen-Quan Tao; Zeng-Yao Li; Sheng-Ping Shen

Addresses: School of Electromechanical Science and Engineering, Zhengzhou University of Light Industry, Zhengzhou, Henan 450002, China; Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China. ' School of Food and Biological Engineering, Zhengzhou University of Light Industry, Zhengzhou, Henan 450002, China. ' School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China. ' School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China. ' School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China

Abstract: In this paper, the Meshless Local Petrov-Galerkin (MLPG) method is applied to compute convection-dominated flow problems. The results of the MLPG method are compared with the results of the finite volume method. The results show that the first-order upwind (FUD) scheme exhibits the false diffusion at a larger-Peclet number; the QUICK scheme and the MLPG method can obtain much closed solutions; but they have small overshoots produced at larger-Peclet number. The results also indicate that the MLPG method is a highly effective and accurate numerical method to deal with convection-dominated flow problems and can eliminate the effect of the false diffusion.

Keywords: MLPG; meshless local Petrov-Galerkin; MLS; moving least squares; Smith-Hutton problem; overshoots; convection-dominated flow; finite volume method.

DOI: 10.1504/PCFD.2012.044852

Progress in Computational Fluid Dynamics, An International Journal, 2012 Vol.12 No.1, pp.27 - 36

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 04 Jan 2012 *

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