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Long's Equation in Terrain Following Coordinates : Volume 16, Issue 4 (07/08/2009)

By Humi, M.

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Book Id: WPLBN0003986678
Format Type: PDF Article :
File Size: Pages 9
Reproduction Date: 2015

Title: Long's Equation in Terrain Following Coordinates : Volume 16, Issue 4 (07/08/2009)  
Author: Humi, M.
Volume: Vol. 16, Issue 4
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Humi, M. (2009). Long's Equation in Terrain Following Coordinates : Volume 16, Issue 4 (07/08/2009). Retrieved from

Description: Department of Mathematical Sciences, Worcester Polytechnic Institute, 100 Institute Road, Worcester, MA 01609, USA. Long's equation describes two dimensional stratified atmospheric flow over terrain which is represented by the geometry of the domain. The solutions of this equation over simple topography were investigated analytically and numerically by many authors. In this paper we derive a new terrain following formulation of this equation which incorporates the terrain as part of the differential equation rather than the geometry of the domain. This new formulation enables us to compute analytically steady state gravity wave patterns over complex topography in some limiting cases of the parameters that appear in this equation.

Long's equation in terrain following coordinates

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