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||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||Copyright (published version):||2011, Royal Meteorological Society||Keywords:||Numerical weather prediction;Time integration;Filtering||Subject LCSH:||Numerical weather forecasting
|DOI:||10.1002/qj.793||Language:||en||Status of Item:||Peer reviewed|
|Appears in Collections:||Mathematics and Statistics Research Collection|
Show full item record
Page view(s) 5091
This item is available under the Attribution-NonCommercial-NoDerivs 3.0 Ireland. No item may be reproduced for commercial purposes. For other possible restrictions on use please refer to the publisher's URL where this is made available, or to notes contained in the item itself. Other terms may apply.