Open AccessNumerical advection by conservation of second‐order moments
Author(s) -
Prather Michael J.
Publication year - 1986
Publication title -
journal of geophysical research: atmospheres
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.67
H-Index - 298
eISSN - 2156-2202
pISSN - 0148-0227
DOI - 10.1029/jd091id06p06671
Subject(s) - advection , tracer , grid , numerical diffusion , diffusion , trace (psycholinguistics) , method of moments (probability theory) , mathematics , mathematical analysis , physics , mechanics , geometry , statistics , linguistics , nuclear physics , thermodynamics , estimator , philosophy
A new, accurate, and nondiffusive method for three‐dimensional advection of trace species is presented. The method preserves tracer structures by conserving the second‐order moments of the spatial distribution of tracer during advection. Tracer concentrations are represented by separate, second‐order polynomials within each grid box. This second‐order moments method has been shown, in typical tests for advective schemes, to be equal or superior to presently available methods in terms of absolute accuracy, numerical diffusion, and computational cost.
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