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The remapped particle‐mesh semi‐Lagrangian advection scheme
Author(s) -
Cotter C. J.,
Frank J.,
Reich S.
Publication year - 2007
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.11
Subject(s) - advection , conservation of mass , interpolation (computer graphics) , lagrangian and eulerian specification of the flow field , particle method , particle (ecology) , lagrangian , mathematics , plane (geometry) , compressibility , planar , mechanics , mathematical analysis , classical mechanics , physics , geometry , computer science , boundary value problem , geology , eulerian path , motion (physics) , oceanography , computer graphics (images) , thermodynamics
We describe the remapped particle‐mesh advection method, a new mass‐conserving method for solving the density equation which is suitable for combining with semi‐Lagrangian methods for compressible flow applied to numerical weather prediction. In addition to the conservation property, the remapped particle‐mesh method is computationally efficient and at least as accurate as current semi‐Lagrangian methods based on cubic interpolation. We provide results of tests of the method in the plane, results from incorporating the advection method into a semi‐Lagrangian method for the rotating shallow‐water equations in planar geometry, and results from extending the method to the surface of a sphere. Copyright © 2007 Royal Meteorological Society