Laplace transform integration of the shallow-water equations. Part 1: Eulerian formulation and Kelvin waves
|Title:||Laplace transform integration of the shallow-water equations. Part 1: Eulerian formulation and Kelvin waves||Authors:||Clancy, Colm
|Permanent link:||http://hdl.handle.net/10197/2870||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 prediction; Time integration; Filtering||Subject LCSH:||Numerical weather forecasting
|DOI:||10.1002/qj.793||Other versions:||http://dx.doi.org/10.1002/qj.793||Language:||en||Status of Item:||Peer reviewed|
|Appears in Collections:||Mathematics and Statistics Research Collection|
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