A fast and stabilized meshless method for the convection-dominated convection-diffusion problems

被引：24
|
作者：
Zhang, Ping [1 ]
Zhang, Xiaohua [1 ,2 ]
Xiang, Hui [1 ]
Song, Laizhong [1 ,2 ]
机构：
[1] China Three Goeges Univ, Coll Sci, Yichang 443002, Hubei Province, Peoples R China
[2] CTGU, Hubei Prov Collaborat Innovat Ctr New Enggy Micro, Yichang, Hubei Province, Peoples R China
来源：
NUMERICAL HEAT TRANSFER PART A-APPLICATIONS | 2016年 / 70卷 / 04期
关键词：
PROPER ORTHOGONAL DECOMPOSITION; FREE GALERKIN METHOD; MLPG METHOD; FLOW; EQUATION; MODEL; REDUCTION; SYSTEMS;
D O I：
10.1080/10407782.2016.1177327
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
This paper presents a fast and stabilized meshless method that combines variational multi-scale element free Galerkin (VMEFG) method and proper orthogonal decomposition (POD) method, namely VMEFG&POD, to solve convection-diffusion problems. Variational multi-scale method is applied to overcome the numerical oscillation for the convection-dominated problems and the POD method is used to improve the computational efficiency of the VMEFG method. This method is validated by considering the simulation of two-dimensional convection-diffusion problems with a small diffusion coefficient. It is demonstrated that the proposed method can largely improve the computational efficiency without a significant loss in accuracy.
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页码：420 / 431
页数：12
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