Alternating Line Multigrid for the Two Dimensional Convection-Diffusion Equation

1997 ◽  
Author(s):  
Ali Hirsa ◽  
Howard Elman
Keyword(s):  
Diffusion Equation ◽  
Two Dimensional ◽  
Convection Diffusion ◽  
Convection Diffusion Equation

The Best Perturbation Method for the Parameter Inversion of Two-Dimension Convection-Diffusion Equation

2013 ◽  
Vol 380-384 ◽  
pp. 1143-1146
Author(s):  
Xiang Guo Liu
Keyword(s):  
Inverse Problem ◽  
Diffusion Equation ◽  
Perturbation Method ◽  
Numerical Simulations ◽  
Numerical Solution ◽  
Two Dimensional ◽  
Convection Diffusion ◽  
Convection Diffusion Equation ◽  
Parameter Inversion ◽  
Parametric Inversion

The paper researches the parametric inversion of the two-dimensional convection-diffusion equation by means of best perturbation method, draw a Numerical Solution for such inverse problem. It is shown by numerical simulations that the method is feasible and effective.

scholarly journals The difference scheme for the two-dimensional convection-diffusion problem for large peclet numbers

2018 ◽  
Vol 226 ◽  
pp. 04030 ◽  
Author(s):  
Alexander I. Sukhinov ◽  
Alexander E. Chistyakov ◽  
Yulia V. Belova
Keyword(s):  
Diffusion Equation ◽  
Difference Scheme ◽  
Diffusion Problem ◽  
Two Dimensional ◽  
Convection Diffusion ◽  
Convection Diffusion Equation ◽  
The Difference

The purpose of this work is the development of a difference scheme for the solution of convection-diffusion problem at high Peclet numbers (Pe>2). In accordance with this purpose the following problems were solved: difference scheme for convection is built, comparison with the existing schemes is carried out; conditions for stability of the proposed difference scheme are obtained. Solutions of the convection-diffusion equation on the basis of the proposed difference scheme at various Peclet numbers are obtained.

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