Bresch, D. and Klein, R. and Lucas, C. (2011) Multiscale analyses for the Shallow Water equations. Computational Science and High Performance Computing IV, 115/20 . pp. 149164. ISSN 16122909 (Print) 10600824 (Online)

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Official URL: http://www.springerlink.com/content/2368215447q0j2...
Abstract
This paper explores several asymptotic limit regimes for shallow water flows over multiscale topography. Depending on the length and time scales considered and on the characteristic water depth and height of topography, a variety of mathematically quite different asymptotic limit systems emerges. Specifically, we recover the classical “lake equations” for balanced flow without gravity waves in the single time, single space scale limit (Greenspan, Cambridge Univ. Press, (1968)), discuss a weakly nonlinear and a strongly nonlinear multiscale version of these wavefree equations involving shortrange topography, and we rederive the equations for longwave shallow water waves passing over shortrange topography by Le Maître et al., JCP (2001)
Item Type:  Article 

Additional Information:  The 4th RussianGerman Advanced Research Workshop, Freiburg, Germany, October 12 to 16, 2009 
Subjects:  Mathematical and Computer Sciences > Mathematics > Applied Mathematics 
Divisions:  Department of Mathematics and Computer Science > Institute of Mathematics > Geophysical Fluid Dynamics Group 
ID Code:  687 
Deposited By:  Ulrike Eickers 
Deposited On:  03 Aug 2009 08:35 
Last Modified:  03 Mar 2017 14:40 
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