Improving the Laplace transform integration method

Improving the Laplace transform integration method

We consider the Laplace transform filtering integration scheme applied to the shallow‐water equations, and demonstrate how it can be formulated as a finite‐difference scheme in the time domain. In addition, we investigate a more accurate treatment of the nonlinear terms. The advantages of the result...

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Veröffentlicht in:Quarterly journal of the Royal Meteorological Society 2016-01, Vol.142 (695), p.1196-1200
Hauptverfasser: Lynch, Peter, Clancy, Colm
Format: Artikel
Sprache:eng
Schlagworte:
atmospheric modelling
Laplace transform
Laplace transforms
Shallow water
stability
time integration
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Beschreibung
Zusammenfassung:We consider the Laplace transform filtering integration scheme applied to the shallow‐water equations, and demonstrate how it can be formulated as a finite‐difference scheme in the time domain. In addition, we investigate a more accurate treatment of the nonlinear terms. The advantages of the resulting algorithms are demonstrated by means of numerical integrations.
ISSN:0035-9009
1477-870X
DOI:10.1002/qj.2670