A two-weight scheme for a time-dependent advection-diffusion problem
Date
2011Author
Chadha, Naresh M.
Madden, Niall
Metadata
Show full item recordUsage
This item's downloads: 467 (view details)
Recommended Citation
Naresh M. Chadha and Niall Madden (2011) 'A two-weight scheme for a time-dependent advection-diffusion problem'. Lecture Notes In Computational Science And Engineering, 85 :99-108.
Published Version
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.
URI
http://www.springerlink.com/content/978-3-642-19665-2#section=894582&page=7&locus=57http://hdl.handle.net/10379/2688