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Uniform convergence of discretization error for a singular perturbation problem

✍ Scribed by P. Wesseling

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 544 KB
Volume: 12
Category: Article
ISSN: 0749-159X
DOI: 10.1002/(sici)1098-2426(199611)12:6<657::aid-num2>3.0.co;2-r

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✦ Synopsis

Cell-centered discretization of the convection-diffusion equation with large PCclet number Pe is analyzed, in the presence of a parabolic boundary layer. It is shown theoretically how, by suitable mesh refinement in the boundary layer, the accuracy can be made to be uniform in Pe, at the cost of a IogPe increase of the number of grid cells, in the case of upwind discretization. Numerical experiments are presented indicating that this can in practice also be achieved with a Pe-independent number of grid cells. both with upwind and central discretization, and with vertex-centered discretization. @

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