Stable split time stepping schemes for large-scale ocean modeling
type: Item
instance of: scholarly article
title: Stable split time stepping schemes for large-scale ocean modeling
zbMATH Open document ID: 0889.76044
author: Robert Hallberg
published in: Journal of Computational Physics
publication date: 1998-06-25T00:00:00Z
review text: It has recently been demonstrated for the title problem that an inexact splitting into the fast and slow equations can lead to instability in the explicit integration of the slow equations. Here a more exact splitting of the equations is proposed. The proposed split time stepping scheme is demonstrated to be stable for linear inertia-gravity waves, subject to a time step limit based on the inertial frequency and internal gravity wave speeds.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 86A05
zbMATH DE Number: 1067812
zbMATH Keywords: scheme stability
zbMATH Keywords: exact splitting
zbMATH Keywords: linear inertia-gravity waves
zbMATH Keywords: time step limit
zbMATH Keywords: inertial frequency
zbMATH Keywords: internal gravity wave speeds
MaRDI profile type: Publication
OpenAlex ID: W2092195923
cites work: Barotropic-baroclinic time splitting for ocean circulation modeling
cites work: Stability analysis of operator splitting for large-scale ocean modeling
DOI: 10.1006/JCPH.1997.5734
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description: scientific article; zbMATH DE number 1067812