A conservative semi-Lagrangian algorithm for one-dimensional advection-diffusion
✍ Scribed by Wallis, S. G. ;Manson, J. R. ;Filippi, L.
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 136 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1069-8299
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✦ Synopsis
This paper describes the incorporation of diusive transport into the original semi-Lagrangian DISCUS algorithm for pure advection. An explicit treatment of diusion is adopted following the approach used in the QUICKEST algorithm for advection±diusion. The semi-Lagrangian treatment of the advection term relaxes the small time step restriction normally associated with Eulerian treatments of advection, but the Eulerian treatment of the diusion term imposes conventional limitations on the scheme. Numerical experiments of advection±diusion, however, indicate that DISCUS has advantages over the QUICKEST scheme for advection±diusion in three key areas: stability, accuracy and computational eciency.