MLPG method for convection-dominated flow problems

被引：1

作者：

Wu, Xue-Hong ^{[1
]}

Chang, Zhi-Juan ^{[3
]}

Tao, Wen-Quan ^{[2
]}

Li, Zeng-Yao ^{[2
]}

Shen, Sheng-Ping ^{[2
]}

机构：

[1] Zhengzhou Univ Light Ind, Sch Electromech Sci & Engn, Zhengzhou 450002, Henan, Peoples R China

[2] Xi An Jiao Tong Univ, Sch Energy & Power Engn, Xian 710049, Shaanxi, Peoples R China

[3] Zhengzhou Univ Light Ind, Sch Food & Biol Engn, Zhengzhou 450002, Henan, Peoples R China

来源：

PROGRESS IN COMPUTATIONAL FLUID DYNAMICS | 2012年 / 12卷 / 01期

基金：

中国国家自然科学基金;

关键词：

MLPG; meshless local Petrov-Galerkin; MLS; Moving Least Square; Smith-Hutton problem; overshoot; convection-dominated; PETROV-GALERKIN MLPG; HEAT-CONDUCTION PROBLEMS; LAMINAR NATURAL-CONVECTION; MESHLESS METHOD; FLUID-FLOW; NUMERICAL-SOLUTION; COMPUTATIONAL MECHANICS; DIFFUSE APPROXIMATION; PARTICLE METHOD; STEADY-STATE;

D O I：

10.1504/PCFD.2012.044852

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

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.

引用

页码：27 / 36

页数：10

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