Meshless local Petrov-Galerkin (MLPG) method for convection-diffusion problems

被引：12

作者：

Lin, H ^{[1
]}

Atluri, SN ^{[1
]}

机构：

[1] Univ Calif Los Angeles, Ctr Aerosp Res & Educ, Los Angeles, CA 90095 USA

来源：

CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES | 2000年 / 1卷 / 02期

关键词：

MLPG; MLS; convection-dominated flow; upwinding;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Due to the very general nature of the Meshless Local Petrov-Galerkin (MLPG) method, it is very easy and natural to introduce the upwinding concept (even in multidimensional cases) in the MLPG method, in order to deal with convection-dominated Rows. In this paper, several upwinding schemes are proposed, and applied to solve steady convection-diffusion problems, in one and two dimensions. Even for very high Peclet number flows, the MLPG method, with upwinding, gives very good results. It shows that the MLPG method is very promising to solve the convection-dominated flow problems, and fluid mechanics problems.

引用

页码：45 / 60

页数：16

共 50 条

[1] Meshless local Petrov-Galerkin (MLPG) mixed collocation method for elasticity problems
Atluri, S. N.
Liu, H. T.
Han, Z. D.
[J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2006, 14 (03): : 141 - 152
[2] A two-level variational multiscale meshless local Petrov-Galerkin (VMS-MLPG) method for convection-diffusion problems with large Peclet number
Chen, Zheng-Ji
Li, Zeng-Yao
Xie, Wen-Li
Wu, Xue-Hong
[J]. COMPUTERS & FLUIDS, 2018, 164 : 73 - 82
[3] The basis of meshless domain discretization: the meshless local Petrov-Galerkin (MLPG) method
Atluri, S
Shen, SP
[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS, 2005, 23 (1-2) : 73 - 93
[4] Application of Meshless Local Petrov-Galerkin (MLPG) Method in Cloth Simulation
Yuan, Weiran
Chen, Yujun
Gagalowicz, Andre
Liu, Kaixin
[J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2008, 35 (02): : 133 - 155
[5] Multiscale simulation based on the meshless local Petrov-Galerkin (MLPG) method
Shen, SP
Atluri, SN
[J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2004, 5 (03): : 235 - 255
[6] A　Petrov－Galerkin　Method　Based　on　Symmetrization　for　Parabolic　Convection－Diffusion　Problems
吴微
[J]. Communications in Mathematical Research, 1994, (01) : 59 - 70
[7] The nearly-optimal Petrov-Galerkin method for convection-diffusion problems
Nesliturk, A
Harari, I
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2003, 192 (22-24) : 2501 - 2519
[8] Application of meshless local Petrov-Galerkin (MLPG) method to elastodynamic problems in continuously nonhomogeneous solids
Sladek, Jan
Sladek, Vladimir
Zhang, Chuanzeng
[J]. CMES - Computer Modeling in Engineering and Sciences, 2003, 4 (06): : 637 - 647
[9] The convection-diffusion Petrov-Galerkin story
Morton, K. William
[J]. IMA JOURNAL OF NUMERICAL ANALYSIS, 2010, 30 (01) : 231 - 240
[10] Application of meshless local Petrov-Galerkin (MLPG) method to elastodynamic problems in continuously nonhomogeneous solids
Sladek, J
Sladek, V
Zhang, CZ
[J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2003, 4 (06): : 637 - 647

← 1 2 3 4 5 →