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Monotonic cascade interpolation for semi‐lagrangian advection
Author(s) -
Nair Ramachandran,
Cǒté Jean,
Stanforth 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.49712555311
Subject(s) - cascade , robustness (evolution) , monotonic function , advection , interpolation (computer graphics) , mathematics , mathematical optimization , computer science , lagrangian , bilinear interpolation , algorithm , mathematical analysis , artificial intelligence , engineering , computer vision , physics , motion (physics) , biochemistry , chemistry , chemical engineering , gene , thermodynamics
A simpler, more efficient, and more robust form of cascade interpolation is proposed. It significantly reduces the considerable overhead required to determine the mesh points of the intermediate mesh, without degrading accuracy. A simple improvement of an existing monotonic filter is also proposed to address a deficiency and enhance robustness. These ideas are demonstrated using two standard test‐problems.