Numerical solution of convection-diffusion problems at high Péclet number using boundary elements

1998 ◽  
Vol 41 (5) ◽  
pp. 899-914 ◽  
Author(s):  
Z. H. Qiu ◽  
L. C. Wrobel ◽  
H. Power
Keyword(s):  
Numerical Solution ◽  
Peclet Number ◽  
Boundary Elements ◽  
Péclet Number ◽  
Convection Diffusion ◽  
Diffusion Problems

An Adaptive Grid Method for Singularly Perturbed Time-Dependent Convection-Diffusion Problems

2016 ◽  
Vol 20 (5) ◽  
pp. 1340-1358 ◽  
Author(s):  
Yanping Chen ◽  
Li-Bin Liu
Keyword(s):  
Numerical Solution ◽  
Time Derivative ◽  
Adaptive Grid ◽  
Singularly Perturbed ◽  
Time Dependent ◽  
Uniform Mesh ◽  
Convection Diffusion ◽  
Monitor Function ◽  
Backward Euler ◽  
Diffusion Problems

AbstractIn this paper, we study the numerical solution of singularly perturbed time-dependent convection-diffusion problems. To solve these problems, the backward Euler method is first applied to discretize the time derivative on a uniform mesh, and the classical upwind finite difference scheme is used to approximate the spatial derivative on an arbitrary nonuniform grid. Then, in order to obtain an adaptive grid for all temporal levels, we construct a positive monitor function, which is similar to the arc-length monitor function. Furthermore, the ε-uniform convergence of the fully discrete scheme is derived for the numerical solution. Finally, some numerical results are given to support our theoretical results.

scholarly journals Ray Theory for High-Péclet-Number Convection-Diffusion

1999 ◽  
Vol 60 (1) ◽  
pp. 121-135 ◽  
Author(s):  
S. J. Chapman ◽  
J. M. H. Lawry ◽  
J. R. Ockendon
Keyword(s):  
Peclet Number ◽  
Ray Theory ◽  
Péclet Number ◽  
Convection Diffusion

Numerical solution of convection-diffusion problems in irregular domains mapped onto a circle

10.2514/3.233 ◽  
1991 ◽  
Vol 5 (1) ◽  
pp. 103-109 ◽  
Author(s):  
Makoto Asaba ◽  
Yutaka Asako ◽  
Hiroshi Nakamura ◽  
Mohammad Faghri
Keyword(s):  
Numerical Solution ◽  
Irregular Domains ◽  
Convection Diffusion ◽  
Diffusion Problems
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