Modelling of the advection-diffusion equation with a meshless method without numerical diffusion

被引：5
|
作者：
Gavete, Luis [1 ]
Urena, Francisco [2 ]
Benito, Juan Jose [3 ]
Lucia Gavete, Maria [4 ]
机构：
[1] Univ Politecn Madrid, Dept Matemat Aplicada Recursos Nat, Madrid, Spain
[2] Univ Castilla La Mancha, Dept Matemat Aplicada, E-13071 Ciudad Real, Spain
[3] Univ Nacl Educ Distancia, Dept Construcc & Fabricac, E-28040 Madrid, Spain
[4] Univ Rey Juan Carlos, Dept Bioquim Fisiol & Genet Mol, Madrid, Spain
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2012年 / 89卷 / 03期
关键词：
advection-diffusion; generalized finite difference; FINITE-DIFFERENCE METHOD;
D O I：
10.1080/00207160.2011.587872
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A comprehensive study is presented regarding the stability of the forward explicit integration technique with generalized finite-difference spatial discretizations, free of numerical diffusion, applied to the advection-diffusion equation. The modified equivalent partial differential equation approach is used to demonstrate that the approximation is free of numerical diffusion. Two-dimensional results are obtained using the von Neumann method of stability analysis. Numerical results are presented showing the accuracy obtained.
引用
收藏
页码：377 / 389
页数：13
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