AN ANALYSIS OF SMOOTHING EFFECTS OF UPWINDING STRATEGIES FOR THE CONVECTION-DIFFUSION EQUATION

dc.contributor.authorELMAN, HOWARD C.en_US
dc.contributor.authorRAMAGE, ALISONen_US
dc.date.accessioned2004-05-31T23:05:42Z
dc.date.available2004-05-31T23:05:42Z
dc.date.created2000-06en_US
dc.date.issued2000-07-11en_US
dc.description.abstractUsing 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)en_US
dc.format.extent822723 bytes
dc.format.mimetypeapplication/postscript
dc.identifier.urihttp://hdl.handle.net/1903/1088
dc.language.isoen_US
dc.relation.isAvailableAtDigital Repository at the University of Marylanden_US
dc.relation.isAvailableAtUniversity of Maryland (College Park, Md.)en_US
dc.relation.isAvailableAtTech Reports in Computer Science and Engineeringen_US
dc.relation.isAvailableAtUMIACS Technical Reportsen_US
dc.relation.ispartofseriesUM Computer Science Department; CS-TR-4160en_US
dc.relation.ispartofseriesUMIACS; UMIACS-TR-2000-50en_US
dc.titleAN ANALYSIS OF SMOOTHING EFFECTS OF UPWINDING STRATEGIES FOR THE CONVECTION-DIFFUSION EQUATIONen_US
dc.typeTechnical Reporten_US

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