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Smooth quasi‐homogeneous gridding of the sphere
Author(s) -
Purser R. J.,
Rančcić M.
Publication year - 1998
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.49712454612
Subject(s) - homogeneity (statistics) , grid , eulerian path , homogeneous , smoothness , computer science , mathematics , mathematical optimization , mathematical analysis , algorithm , geometry , combinatorics , statistics , lagrangian
We describe a variational technique for generating smooth quasi‐homogeneous numerical grids covering the sphere. This work extends our earlier studies of non‐standard global grids by relaxing the requirement of conformality to admit a greater degree of homogeneity. The motivation for this extension is to increase the minimum grid distance and thus to enable a larger time step to be used within an Eulerian grid‐point model. The grids described here are specified by balancing terms in a variational principle that penalizes departures of grid‐point density from smoothness and homogeneity. Grids generated by the new procedure are tested in both the cubic and octagonal configurations we have described in our earlier studies. The time‐step restriction is successfully alleviated without significant loss of solution accuracy.