Hostname: page-component-8448b6f56d-c47g7 Total loading time: 0 Render date: 2024-04-24T10:01:20.449Z Has data issue: false hasContentIssue false

The limits of time stepping when used to solve the long wave equations numerically

Published online by Cambridge University Press:  17 April 2009

K. Tronson
Affiliation:
Department of Applied Mathematics, University of Adelaide, Adelaide, South Australia.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The two approaches (the hydrodynnmical-numerical and the harmonic methods) to the solution of the long wave equations are compared, enabling an analysis of the limits imposed by time stepping. The minimum time scale of motions, which may be modelled by the time stepping scheme, is determined from the stability condition derived for the harmonic method.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Fischer, Günter, “Ein numerisches Verfahren zur Errechnung von Windstau und Gezeiten in Randmeeren”, Tellus 11 (1959), 6076.Google Scholar
[2]Hansen, Walter, “Theorie zur Errechnung des Wasserstandes und der Strömungen in Randmeeren nebst Anwendungen”, Tellus 8 (1956), 287300.Google Scholar
[3]Heaps, N.S., “A two-dimensional numerical sea model”, Philos. Trans. Roy. Soc. London Ser. A 265 (1969), 93137.Google Scholar
[4]Platzman, G.W., “Two-dimensional free oscillations in natural basins”, J. Physical Oceanography 2 (1972), 117138.Google Scholar