The multidimensional positive definite advection transport algorithm: nonoscillatory option

Piotr K. Smolarkiewicz; Wojciech W. Grabowski

doi:10.1016/0021-9991(90)90105-A

The multidimensional positive definite advection transport algorithm: nonoscillatory option

Piotr K. Smolarkiewicz
, Wojciech W. Grabowski

National Center for Atmospheric Research

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	355-375
Number of pages	21
Journal	Journal of Computational Physics
Volume	86
Issue number	2
DOIs	https://doi.org/10.1016/0021-9991(90)90105-A
State	Published - Feb 1990
Externally published	Yes

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title = "The multidimensional positive definite advection transport algorithm: nonoscillatory option",

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.",

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N2 - 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.

AB - 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.

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The multidimensional positive definite advection transport algorithm: nonoscillatory option

Abstract

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