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

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Title: Laplace transform integration of the shallow-water equations. Part 1: Eulerian formulation and Kelvin waves
Authors: Clancy, Colm
Lynch, Peter
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Date: Apr-2011
Online since: 2011-03-23T12:52:04Z
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.
Funding Details: 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 predictionTime integrationFiltering
Subject LCSH: Numerical weather forecasting
Laplace transformation
Filters (Mathematics)
DOI: 10.1002/qj.793
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Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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