Laplace transform integration of the shallow-water equations. Part 2: Lagrangian formulation and orographic resonance

Files in This Item:
File Description SizeFormat 
ClancyLynch2.pdf506.61 kBAdobe PDFDownload
Title: Laplace transform integration of the shallow-water equations. Part 2: Lagrangian formulation and orographic resonance
Authors: Clancy, Colm
Lynch, Peter
Permanent link: http://hdl.handle.net/10197/2871
Date: Apr-2011
Abstract: In this paper we combine the Laplace transform (LT) scheme with a semi- Lagrangian advection scheme, and implement it in a shallow water model. It is compared to a reference model using the semi-implicit (SI) scheme, with both Eulerian and Lagrangian advection. We show that the LT scheme is accurate and computationally competitive with these reference schemes. We also show, both analytically and numerically, that the LT scheme is free from the problem of orographic resonance that is found with semi-implicit schemes.
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 predictionTime integrationFiltering
Subject LCSH: Numerical weather forecasting
Laplace transformation
Filters (Mathematics)
DOI: 10.1002/qj.805
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

Show full item record

SCOPUSTM   
Citations 50

3
Last Week
0
Last month
checked on Aug 17, 2018

Page view(s) 50

93
checked on May 25, 2018

Download(s) 50

65
checked on May 25, 2018

Google ScholarTM

Check

Altmetric


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.