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

✍ Scribed by Colm Clancy; Peter Lynch

Publisher: John Wiley and Sons
Year: 2011
Tongue: English
Weight: 483 KB
Volume: 137
Category: Article
ISSN: 0035-9009
DOI: 10.1002/qj.805

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✦ Synopsis

Abstract

In this article 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. Copyright © 2011 Royal Meteorological Society

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