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Cascade interpolation for semi‐Lagrangian advection over the sphere
Author(s) -
Nair Ramachandran,
Côté Jean,
Staniforth Andrew
Publication year - 1999
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.1999.49712555617
Subject(s) - advection , geometry , spherical geometry , cartesian coordinate system , interpolation (computer graphics) , cascade , lagrangian , generalization , mathematics , spheres , rotation (mathematics) , mathematical analysis , physics , classical mechanics , motion (physics) , astronomy , thermodynamics , chemistry , chromatography
A cascade interpolator, previously proposed by the authors for semi‐Lagrangian advection in Cartesian geometry, is extended to spherical geometry. It is evaluated using two test problems—solid‐body rotation and strong deformational flow—and found to be both accurate and efficient. The second problem is particularly challenging. It is a generalization to spherical geometry of Doswell's idealized cyclogenesis problem with an exact solution.