In this paper, we present a new type of semi-Lagrangian scheme for advection transportation equation. The interpolation function is based on a cubic polynomial and is constructed under the constraints of conservation of cell-integrated average and the slope modification. The cell-integrated average
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An explicit and conservative remapping strategy for semi-Lagrangian advection
β Scribed by Sebastian Reich
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 624 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1530-261X
- DOI
- 10.1002/asl.151
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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 advectionΒ±diusion. The semi-Lagrangian treatment of the advection t