Quantifying the effect of wind on internal wave resonance in Lake Villarrica, Chile
Author
dc.contributor.author
Rozas Rojas, Carlos David
Author
dc.contributor.author
Fuente Stranger, Alberto de la
es_CL
Author
dc.contributor.author
Ulloa Sánchez, Hugo Nicolás
es_CL
Author
dc.contributor.author
Davies, Peter
es_CL
Author
dc.contributor.author
Niño Campos, Yarko
es_CL
Admission date
dc.date.accessioned
2014-12-19T02:49:30Z
Available date
dc.date.available
2014-12-19T02:49:30Z
Publication date
dc.date.issued
2014
Cita de ítem
dc.identifier.citation
Environ Fluid Mech (2014) 14:849–871
en_US
Identifier
dc.identifier.other
DOI 10.1007/s10652-013-9329-9
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/126700
General note
dc.description
Artículo de publicación ISI
en_US
Abstract
dc.description.abstract
Lake Villarrica, located in south central Chile, has amaximum depth of 167mand
amaximum fetch of about 20 km.The lake is monomictic, with a seasonal thermocline located
at a depth of approximately 20 m. Field data show the presence of basin-scale internal waves
that are forced by daily winds and affected by Coriolis acceleration. A modal linear and nonlinear
analysis of internal waves has been used, assuming a two-layer system. The numerical
simulations show good agreement with the internal wave field observations. The obtained
modes were used to study the energy dissipation within the system, which is necessary to
control the amplitude growth. Field data and numerical simulations identify (1) the occurrence
of a horizontal mode 1 Kelvin wave, with a period of about a day that coincides with the
frequency of daily winds, suggesting that this mode of the Kelvin waves is in a resonant state
(subject to damping and controlled by frictional effects in the field) and (2) the presence of
higher-frequency internal waves, which are excited by non-linear interactions between basinscale
internal waves. The non-linear simulation indicates that only 10% of the dissipation
rate of the Kelvin wave is because of bottom friction, while the rest 90% represents the
energy that is radiated from the Kelvin wave to other modes. Also, this study shows that
modes with periods between 5 and 8 h are excited by non-linear interactions between the
fundamental Kelvin wave and horizontal Poincaré-type waves. A laboratory study of the
resonant interaction between a periodic forcing and the internal wave field response has also
been performed, confirming the resonance for the horizontal mode 1 Kelvin wave.
en_US
Patrocinador
dc.description.sponsorship
The authors acknowledge support of the Civil Engineering Department, Universidad de
Chile, FONDECYT Project 1080617 and the Civil Engineering Department, University of Dundee. The first
author acknowledges financial support from Department of Graduate and Postgraduate Degree, Universidad
de Chile.