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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

doi:10.4203/ccp.105.69

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, "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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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	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 doi:10.4203/ccp.105.69 purchase the full-text of this paper 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. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £45 +P&P)
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