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Semi‐Lagrangian advection scheme with controlled damping: An alternative to nonlinear horizontal diffusion in a numerical weather prediction model
Author(s) -
Váňa Filip,
Bénard Pierre,
Geleyn JeanFrançois,
Simon André,
Seity Yann
Publication year - 2008
Publication title -
quarterly journal of the royal meteorological society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.744
H-Index - 143
eISSN - 1477-870X
pISSN - 0035-9009
DOI - 10.1002/qj.220
Subject(s) - diffusion , scheme (mathematics) , advection , nonlinear system , interpolation (computer graphics) , numerical diffusion , stability (learning theory) , flow (mathematics) , mathematics , computer science , lagrangian , extension (predicate logic) , numerical weather prediction , control theory (sociology) , meteorology , mechanics , mathematical analysis , motion (physics) , physics , geometry , artificial intelligence , control (management) , quantum mechanics , programming language , machine learning , thermodynamics
This paper proposes a nonlinear horizontal diffusion scheme for models using semi‐Lagrangian formulations. The scheme is made flow dependent and not entirely linked to the model levels. As an extension, the implementation of the scheme to the model Aladin is given. The damping abilities of interpolation are used for the diffusion filtering. The aim is to provide a horizontal diffusion scheme of similar stability and computational efficiency as the existing linear spectral diffusion scheme in Aladin. Preserving such qualities, the new scheme brings beneficial new skills to the model. The differences between the performances of the two diffusion schemes are examined and discussed. Finally, some interesting case‐studies simulated with both horizontal diffusion schemes are presented. Copyright © 2008 Royal Meteorological Society