A class of higher order compact schemes for the unsteady two-dimensional convection-diffusion equation with variable convection coefficients

2002 ◽  
Vol 38 (12) ◽  
pp. 1111-1131 ◽  
Author(s):  
Jiten C. Kalita ◽  
D. C. Dalal ◽  
Anoop K. Dass
Keyword(s):  
Diffusion Equation ◽  
Higher Order ◽  
Compact Schemes ◽  
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.

EXPONENTIAL COMPACT HIGHER-ORDER SCHEMES AND THEIR STABILITY ANALYSIS FOR UNSTEADY CONVECTION-DIFFUSION EQUATIONS

2013 ◽  
Vol 11 (01) ◽  
pp. 1350053 ◽  
Author(s):  
NACHIKETA MISHRA ◽  
Y. V. S. S. SANYASIRAJU
Keyword(s):  
Stability Analysis ◽  
Numerical Solutions ◽  
Higher Order ◽  
The Other ◽  
Diffusion Equations ◽  
Two Dimensional ◽  
Unconditionally Stable ◽  
Convection Diffusion ◽  
Convection Diffusion Equation ◽  
Alternate Direction

Exponential compact higher-order schemes have been developed for unsteady convection-diffusion equation (CDE). One of the developed scheme is sixth-order accurate which is conditionally stable for the Péclet number 0 ≤ Pe ≤ 2.8 and the other is fourth-order accurate which is unconditionally stable. Schemes for two-dimensional (2D) problems are made to use alternate direction implicit (ADI) algorithm. Example problems are solved and the numerical solutions are compared with the analytical solutions for each case.

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