MLPG method for convection-dominated flow problems
type: Item
instance of: scholarly article
title: MLPG method for convection-dominated flow problems
zbMATH Open document ID: 1292.76049
DOI: 10.1504/PCFD.2012.044852
author: Xue-wong Wu
author: Zhi-juan Chang
author: Shengping Shen
author: Wenquan Tao
author: Z. Y. Li
published in: Progress in Computational Fluid Dynamics
publication date: 2014-07-31T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76R99
zbMATH DE Number: 6323313
zbMATH Keywords: MLPG
zbMATH Keywords: meshless local Petrov-Galerkin
zbMATH Keywords: MLS
zbMATH Keywords: moving least squares
zbMATH Keywords: Smith-Hutton problem
zbMATH Keywords: overshoots
zbMATH Keywords: convection-dominated flow
MaRDI profile type: Publication
full work available at URL: pcfd.2012.044852
OpenAlex ID: W1993305903
Recommended article: Q4649687
Recommended article: A stabilized MLPG method for steady state incompressible fluid flow simulation
Recommended article: The numerical algorithm of MLPG method for solving Navier-Stokes equations
Recommended article: Stabilized Meshless Local Petrov-Galerkin (MLPG) Method for Incompressible Viscous Fluid Flows
Recommended article: MLPG6 for the solution of incompressible flow equations
Recommended article: Extending MLPG primitive variable-based method for implementation in fluid flow and natural, forced and mixed convection heat transfer
Recommended article: MLPG Refinement Techniques for 2D and 3D DiffusionProblems
Recommended article: Numerical Solution of Non-steady Flows, Around Surfaces in Spatially and Temporally Arbitrary Motions, by using the MLPG method
description: scientific article