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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 105
PROCEEDINGS OF THE NINTH INTERNATIONAL CONFERENCE ON ENGINEERING COMPUTATIONAL TECHNOLOGY
Edited by:
Paper 69

Application of Asymptotic Analysis to Derive a Time-Averaged Shallow Water Model

J.M. Rodríguez1 and R. Taboada-Vázquez2

1Department of Mathematics and Representation Methods, College of Architecture, University of A Coruña, Spain
2Department of Mathematics and Representation Methods, College of Civil Engineering, University of A Coruña, Spain

Full Bibliographic Reference for this paper
, "Application of Asymptotic Analysis to Derive a Time-Averaged Shallow Water Model", in , (Editors), "Proceedings of the Ninth International Conference on Engineering Computational Technology", Civil-Comp Press, Stirlingshire, UK, Paper 69, 2014. doi:10.4203/ccp.105.69
Keywords: asymptotic analysis, Reynolds averaged Navier-Stokes equations, large eddy simulation, shallow waters, modeling, filtering.

Summary
The objective of this paper is to derive, from the Navier-Stokes equations, a new bidimensional shallow water model able to reduce the high frequency oscillations that are produced when the Reynolds number is increased in turbulent flows. With this aim, the Navier-Stokes equations are time-averaged and then asymptotic analysis techniques (where the small parameter considered is the quotient between the characteristic depth and the diameter of the domain) are used. Numerical experiments confirm that this new model is able to obtain, in most of the cases, a given accuracy using time steps larger than the time step required for classical shallow water models.

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