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  5. Laplace transform integration of the shallow-water equations. Part 1: Eulerian formulation and Kelvin waves
 
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Laplace transform integration of the shallow-water equations. Part 1: Eulerian formulation and Kelvin waves

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Author(s)
Clancy, Colm 
Lynch, Peter 
Uri
http://hdl.handle.net/10197/2870
Date Issued
April 2011
Date Available
23T12:52:04Z March 2011
Abstract
A filtering integration scheme is developed, using a modification of the contour used to invert the Laplace transform (LT). It is shown to eliminate components with frequencies higher than a specified cut-off value. Thus it is valuable for integrations of the equations governing atmospheric flow. The scheme is implemented in a shallow water model with an Eulerian treatment of advection. It is compared to a reference model using the semi-implicit (SI) scheme. The LT scheme is shown to treat dynamically important Kelvin waves more accurately than the SI scheme.
Sponsorship
Irish Research Council for Science, Engineering and Technology
Type of Material
Journal Article
Publisher
Wiley
Journal
Quarterly Journal of the Royal Meteorological Society
Volume
137
Issue
656
Start Page
792
End Page
799
Copyright (Published Version)
2011, Royal Meteorological Society
Keywords
  • Numerical weather pre...

  • Time integration

  • Filtering

Subject – LCSH
Numerical weather forecasting
Laplace transformation
Filters (Mathematics)
DOI
10.1002/qj.793
Web versions
http://dx.doi.org/10.1002/qj.793
Language
English
Status of Item
Peer reviewed
ISSN
1477-870X
This item is made available under a Creative Commons License
https://creativecommons.org/licenses/by-nc-sa/1.0/
Owning collection
Mathematics and Statistics Research Collection
Scopus© citations
8
Acquisition Date
Jan 28, 2023
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Jan 29, 2023
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