AN ANALYSIS OF SMOOTHING EFFECTS OF UPWINDING STRATEGIES FOR THE
CONVECTION-DIFFUSION EQUATION
AN ANALYSIS OF SMOOTHING EFFECTS OF UPWINDING STRATEGIES FOR THE
CONVECTION-DIFFUSION EQUATION
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Date
2000-07-11
Authors
ELMAN, HOWARD C.
RAMAGE, ALISON
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Abstract
Using a technique for constructing analytic expressions for discrete
solutions to the convection-diffusion equation, we examine and
characterise the effects of upwinding strategies on solution quality.
In particular, for grid-aligned flow and discretisation based on
bilinear finite elements with streamline upwinding, we show precisely
how the amount of upwinding included in the discrete operator affects
solution oscillations and accuracy when boundary layers are present.
In addition, we show that the same analytic techniques provide insight
into other discretisations, such as a finite difference method that
incorporates streamline diffusion, and the isotropic
artificial diffusion method.
(Also cross-referenced as UMIACS-TR-2000-50)