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A parametric study of the generation and degeneration of wind-forced long internal waves in narrow lakes

Published online by Cambridge University Press:  04 February 2010

TAKAHIRO SAKAI  and
L. G. REDEKOPP
TAKAHIRO SAKAI*
Affiliation:
Department of Aerospace & Mechanical Engineering, University of Southern California, Los Angeles, CA 90089-1191, USA
L. G. REDEKOPP
Affiliation:
Department of Aerospace & Mechanical Engineering, University of Southern California, Los Angeles, CA 90089-1191, USA
*
†Email address for correspondence: [email protected]
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Abstract

The generation and energy downscaling of wind-forced long internal waves in strongly stratified small-to-medium sized narrow lakes are studied. A two-layer nonlinear model with forcing and damping is employed. Even though the wave field is fundamentally bidirectional in nature, a domain folding technique is employed to simulate the leading-order internal wave field in terms of a weakly nonlinear weakly dispersive model equation of Korteweg–deVries type. Parametric effects of wind-forcing and environmental conditions, including variable topography and variable basin width, are examined. Energy downscaling from basin-scale waves to shorter scales are quantified by means of a time evolution of the wave energy spectra. It is demonstrated that an internal wave resonance is possible when repetitive wind-forcing events arise with a frequency near the linear seiche frequency. An attempt is made to apply the model to describe the shoaling of long waves on sloping endwall boundaries. Modelling of the energy loss and energy reflection during a shoaling event is calibrated against laboratory experiments.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 645 , 25 February 2010 , pp. 315 - 344
Copyright
Copyright © Cambridge University Press 2010

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