The multidimensional positive definite advection transport algorithm: Further development and applications
type: Item
instance of: scholarly article
title: The multidimensional positive definite advection transport algorithm: Further development and applications
zbMATH Open document ID: 0601.76098
DOI: 10.1016/0021-9991(86)90270-6
author: Piotr K. Smolarkiewicz
author: Terry L. Clark
published in: Journal of Computational Physics
publication date: 1986-01-01T00:00:00Z
review text: The paper presents further generalizations of the advection algorithm described earlier. Time-dependent velocity fields and a generalized form of the continuity equation are considered. Applicability of the algorithm to the diffusion equation and to the transport of nonpositive scalars is also discussed. Theoretical considerations are illustrated through numerical tests and applications to some particular geophysical fluid dynamics problems.
Mathematics Subject Classification ID: 76R99
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3970375
zbMATH Keywords: fully multidimensional, nonlinear, computationally efficient positive definite advective transport algorithms
zbMATH Keywords: Taylor series expansion
zbMATH Keywords: advection algorithm
zbMATH Keywords: Time-dependent velocity fields
zbMATH Keywords: generalized form of the continuity equation
zbMATH Keywords: diffusion equation
zbMATH Keywords: transport of nonpositive scalars
MaRDI profile type: Publication
full work available at URL: 0021-9991(86)90270-6
OpenAlex ID: W2001732717
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description: scientific article; zbMATH DE number 3970375