Implementation of a barotropic-baroclinic time splitting for isopycnic coordinate ocean modeling
type: Item
instance of: scholarly article
title: Implementation of a barotropic-baroclinic time splitting for isopycnic coordinate ocean modeling
zbMATH Open document ID: 0933.76060
author: Robert L. Higdon
published in: Journal of Computational Physics
publication date: 2000-04-09T00:00:00Z
review text: The present paper addresses the practical implementation of a splitting of fast and slow dynamics for the case of isopycnic ocean modeling, in which the vertical coordinate is density or some other related quantity. During the implementation, a major task is to develop formulas suitable for usage with rapidly varying bottom topography. Compared to an earlier splitting, the present splitting has improved stability properties when analyzed in a simple linearized setting. When tested in the same model for which the earlier splitting was developed, the revised splitting substantially reduces a numerically induced sloshing pattern that is seen in the model. This phenomenon appears to be related to a residual term that appears in the momentum equations. In some examples, the residual is one to two orders of magnitude smaller in the case of the revised splitting. \(\copyright\) Academic Press.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76U05
Mathematics Subject Classification ID: 86A05
zbMATH DE Number: 1272005
zbMATH Keywords: ocean circulation
zbMATH Keywords: stability analysis
zbMATH Keywords: time discretization
zbMATH Keywords: vertical coordinate
zbMATH Keywords: rapidly varying bottom topography
zbMATH Keywords: numerically induced sloshing pattern
MaRDI profile type: Publication
full work available at URL: jcph.1998.6130
OpenAlex ID: W1973806472
cites work: Stable split time stepping schemes for large-scale ocean modeling
cites work: Stability analysis of operator splitting for large-scale ocean modeling
cites work: Barotropic-baroclinic time splitting for ocean circulation modeling
cites work: Q3199050
DOI: 10.1006/JCPH.1998.6130
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description: scientific article; zbMATH DE number 1272005