Downscaling Model Resolution to Illuminate the Internal Wave Field in a Small Stratified Lake
Publication: Journal of Hydraulic Engineering
Volume 133, Issue 11
Abstract
This paper presents the application of hydrostatic and nonhydrostatic three-dimensional hydrodynamic models to a stratified lake. Focus was given to the multiscale response of the internal wave field to strong wind gusts exceeding . Simulations were performed using different horizontal grid resolutions with uniform grid sizes varying from to . Results of the hydrostatic models were used to investigate the large-scale features of the internal wave motion. With the intent of investigating the high-frequency waves, observed results of these simulations were used as initial conditions for nonhydrostatic simulations using smaller grids. Wavelength of the high frequency waves decreased with grid resolution. However, none of the uniform grids were sufficiently fine to capture the waves of the highest frequency. Simulations performed using a nonuniform grid produced internal waves of similar frequency of the waves observed in the field. The simulations showed that these waves were shear unstable modes and that their vertical and horizontal length scales were in close agreement with results from linear stability analysis.
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Acknowledgments
The writers thank Andres Gomez-Giraldo for valuable help and discussion in the linear stability analysis presented in this paper. The Lake Pusiano data were collected by the Field Operations Group at CWR and the Italian Water Research Institute. We especially thank Diego Copetti for his valuable help. The writers also acknowledge C. Torrence and G. Compo for the wavelet software provided. The first writer was supported by CAPES (Brazilian Ministry of Education) with a Ph.D. scholarship (process BEX 1383-00/0) and by the Centre for Water Research with an Ad-hoc Scholarship. We also thank Chris Dallimore, Peter Yeates, and Greg Lawrence for constructive comments on the final version of this manuscript. We also acknowledge that the quality of the paper was greatly improved by the comments of three anonymous reviewers.
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© 2007 ASCE.
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Received: May 10, 2006
Accepted: Apr 9, 2007
Published online: Nov 1, 2007
Published in print: Nov 2007
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