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
收藏
页码：27 / 36
页数：10
相关论文
共 50 条
  • [31] Meshless techniques for convection dominated problems
    Y. T. Gu
    G. R. Liu
    Computational Mechanics, 2006, 38 : 171 - 182
  • [32] Meshless techniques for convection dominated problems
    Gu, YT
    Liu, GR
    COMPUTATIONAL MECHANICS, 2006, 38 (02) : 171 - 182
  • [33] MLPG Application of Nanofluid Flow Mixed Convection Heat Transfer in a Wavy Wall Cavity
    Arefmanesh, A.
    Najafi, M.
    Nikfar, M.
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2010, 69 (02): : 91 - 117
  • [34] A high-order alternating direction implicit method for the unsteady convection-dominated diffusion problem
    Ma, Yanbao
    Sun, Chien-Pin
    Haake, David A.
    Churchill, Bernard M.
    Ho, Chih-Ming
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2012, 70 (06) : 703 - 712
  • [35] An Upwind Weak Galerkin Scheme for Convection-Dominated Oseen Equations
    Qi, Wenya
    Wang, Junping
    COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION, 2024, : 1016 - 1033
  • [36] A weighted-upwind generalized finite difference (WU-GFD) scheme with high-order accuracy for solving convection-dominated problems
    Li, Po-Wei
    Zhang, Fan
    APPLIED MATHEMATICS LETTERS, 2024, 150
  • [37] A finite element model based on triangular mesh for convection-dominated stationary flows
    Meftah, Khouane
    EUROPEAN JOURNAL OF COMPUTATIONAL MECHANICS, 2015, 24 (01): : 16 - 33
  • [38] A discontinuous Galerkin method for convection-dominated compressible viscous Navier-Stokes equations with an inflow boundary condition
    Kweon, JR
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2000, 38 (03) : 699 - 717
  • [39] An analysis of the convection-diffusion problems using meshless and meshbased methods
    Wu, Xue-Hong
    Chang, Zhi-Juan
    Lu, Yan-Li
    Tao, Wen-Quan
    Shen, Sheng-Ping
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2012, 36 (06) : 1040 - 1048
  • [40] SUPG-YZβ computation of chemically reactive convection-dominated nonlinear models
    Cengizci, Suleyman
    Ugur, Omur
    Natesan, Srinivasan
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2023, 100 (02) : 283 - 303
12345