A Two-Weight Scheme for a Time-Dependent Advection-Diffusion Problem

Conference paper
First Online:
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 81)

Abstract

We consider a family of two-weight finite difference schemes for a time-dependent advection-diffusion problem. For a given uniform grid-spacing in time and space, and for a fixed value of advection and diffusion parameters, we demonstrate how to optimally choose these weights by means of the notion of an equivalent differential equation. We also provide a geometric interpretation of the weights. We present numerical results that demonstrate that the approach is superior to other commonly used methods that also fit into the framework of a two-weight scheme.

Keywords

Alternate Direction Implicit Environmental Water Management Central Diff Piecewise Uniform Mesh Water Management Research 
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Notes

Acknowledgements

This material is based upon works supported by the Science Foundation Ireland under Grant No. 08/RFP/CMS1205.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.School of Mathematics, Statistics, and Applied MathematicsNational University of IrelandGalwayIreland

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