Models for the Turbulent Diffusion Terms of Shallow Water Equations
Publication: Journal of Hydraulic Engineering
Volume 131, Issue 3
Abstract
The analysis of three different approximations of the turbulent diffusion terms, widely used to simulate shallow water flows, is carried out both analytically and experimentally. Based on the eddy viscosity concept, the terms are solved for steady, uniform, turbulent flow in a simplified geometry, which may represent a tidal estuary or a compound channel. It is shown that, although the three approximations are identical in constant depth, they behave differently if strong depth gradients exist and, consequently, the transverse velocity profile obtained varies depending on the turbulence term used. It is also shown that the relative depth (flood plain depth-to-main channel depth ratio) has an important influence on the lateral momentum transfer and, consequently, depending on the approximation adopted, different dimensionless eddy viscosity coefficient values must be used to best fit the experimental data. A tentative relationship between the relative depth and the dimensionless eddy viscosity coefficient is presented for each expression. Comparison of analytical results with experimental data shows that not all the widely used expressions for the turbulence terms can adequately represent the velocity profile if strong depth gradients exist.
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Acknowledgments
The writers gratefully acknowledge the financial support of Inter-ministerial Commission for Science and Technology (CICYT) by means of Project No. AMB1999-0543. The first writer acknowledges a FPI grant from the Spanish Ministry for Education and Science. The third writer is indebted to the Ministerio de Ciencia y Tecnología for funding provided in the “Programa de Investigación Ramón y Cajal.”
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Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 131 • Issue 3 • March 2005
Pages: 217 - 223
Copyright
© 2005 ASCE.
History
Received: Mar 27, 2003
Accepted: Sep 24, 2004
Published online: Mar 1, 2005
Published in print: Mar 2005
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