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Numerical advection by conservation of second-order momentsA 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. Upstream transport and second-order tracer distribution are described, and the moments of the tracer distribution about the center of a grid box are formally defined and related to the polynomial distribution. Formulas are presented which describe how the moments of a grid box are decomposed into a unique set of moments centered about each subbox and how they are reassembled into new grid boxes. A one-dimensional example if tracer transport is given, and limits necessary to maintain positive tracer concentrations are derived. The accuracy and stability of this method are analytically examined, and numerical experiments testing the effective resolution are presented. The method is compared with other methods for numerical advection of tracers.
Document ID
19860056914
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Prather, M. J.
(NASA Goddard Institute for Space Studies, New York; Harvard University Cambridge, MA, United States)
Date Acquired
August 12, 2013
Publication Date
May 20, 1986
Publication Information
Publication: Journal of Geophysical Research
Volume: 91
ISSN: 0148-0227
Subject Category
Meteorology And Climatology
Accession Number
86A41652
Funding Number(s)
CONTRACT_GRANT: NSF ATM-81-17009
CONTRACT_GRANT: NAGW-359
Distribution Limits
Public
Copyright
Other

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