The multidimensional positive definite advection transport algorithm: nonoscillatory option

Piotr K. Smolarkiewicz, Wojciech W. Grabowski

Research output: Contribution to journalArticlepeer-review

311 Scopus citations

Abstract

This paper presents a nonoscillatory option (i.e., free of dispersive ripples) of the advection algorithm described previously in J. Comput. Phys. (54 (1984), 325; 67 (1986), 396). The approach adopted merges the flux-corrected transport methodology with the iterative formalism of the algorithm. Further discussion of the algorithm's accuracy is included. Theoretical considerations are illustrated through numerical tests and examples of applications to atmospheric fluid dynamics problems.

Original languageEnglish
Pages (from-to)355-375
Number of pages21
JournalJournal of Computational Physics
Volume86
Issue number2
DOIs
StatePublished - Feb 1990
Externally publishedYes

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