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Analysis of the numerics of physics–dynamics coupling
Author(s) -
Staniforth Andrew,
Wood Nigel,
Côté Jean
Publication year - 2002
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 - 10.1256/qj.02.25
Subject(s) - spurious relationship , forcing (mathematics) , coupling (piping) , resonance (particle physics) , context (archaeology) , stability (learning theory) , statistical physics , lagrangian , physics , mathematics , classical mechanics , computer science , mathematical analysis , quantum mechanics , engineering , mechanical engineering , paleontology , statistics , machine learning , biology
A methodology for analysing the numerical properties of schemes for coupling physics parametrizations to a dynamical core is presented. As an example of its application, the methodology is used to study four coupling schemes (‘explicit’, ‘implicit’, ‘split‐implicit’ and ‘symmetrized split‐implicit’) in the context of a semi‐implicit semi‐Lagrangian dynamical core. Each coupling scheme is assessed in terms of its numerical stability and of the accuracy of both its transient and steady‐state responses. Additionally, the occurrence of spurious, computational resonance is analysed and discussed. It is found that in this respect all four schemes behave similarly. In particular, in the absence of any damping mechanism to control resonance, the time‐step restriction needed to avoid spurious resonance is twice as restrictive for time‐dependent forcing as for stationary forcing. © Crown Copyright, 2002.