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Time-dependent Long's Equation : Volume 22, Issue 2 (06/03/2015)

By Humi, M.

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Book Id: WPLBN0004017155
Format Type: PDF Article :
File Size: Pages 6
Reproduction Date: 2015

Title: Time-dependent Long's Equation : Volume 22, Issue 2 (06/03/2015)  
Author: Humi, M.
Volume: Vol. 22, Issue 2
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. (2015). Time-dependent Long's Equation : Volume 22, Issue 2 (06/03/2015). Retrieved from

Description: Department of Mathematical Sciences, Worcester Polytechnic Institute, 100 Institute Road, Worcester, MA01609, USA. Long's equation describes steady-state two-dimensional stratified flow over terrain. Its numerical solutions under various approximations were investigated by many authors. Special attention was paid to the properties of the gravity waves that are predicted to be generated as a result. In this paper we derive a time-dependent generalization of this equation and investigate analytically its solutions under some simplifications. These results might be useful in the experimental analysis of gravity waves over topography and their impact on atmospheric modeling.

Time-dependent Long's equation

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