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

✍ Scribed by Colm Clancy; Peter Lynch

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
183 KB
Volume
137
Category
Article
ISSN
0035-9009

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✦ Synopsis

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. Copyright © 2011 Royal Meteorological Society

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Laplace transform integration of the sha
Laplace transform integration of the shallow-water equations. Part II: Semi-Lagrangian formulation and orographic resonance
✍ Colm Clancy; Peter Lynch 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 483 KB

## 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 sche