Quantifying the effect of wind on internal wave resonance in Lake Villarrica, Chile

Carlos Rozas (Lead / Corresponding author), Alberto de la Fuente, Hugo Ulloa, Peter Davies, Yarko Niño

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Abstract

    Lake Villarrica, located in south central Chile, has a maximum depth of 167 m and a maximum 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 non-linear 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 basin-scale 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.
    Original languageEnglish
    Pages (from-to)849-871
    Number of pages23
    JournalEnvironmental Fluid Mechanics
    Volume14
    Issue number4
    Early online date25 Dec 2013
    DOIs
    Publication statusPublished - Aug 2014

    Fingerprint

    Kelvin wave
    internal wave
    Lakes
    lake
    wave field
    simulation
    bottom friction
    fetch
    energy dissipation
    thermocline
    basin
    damping
    effect
    dissipation
    Computer simulation
    Nonlinear analysis
    energy
    Energy dissipation
    Temperature distribution
    Damping

    Cite this

    Rozas, Carlos ; de la Fuente, Alberto ; Ulloa, Hugo ; Davies, Peter ; Niño, Yarko. / Quantifying the effect of wind on internal wave resonance in Lake Villarrica, Chile. In: Environmental Fluid Mechanics. 2014 ; Vol. 14, No. 4. pp. 849-871.
    @article{c51d7a367d5f4513bf1558060f114d48,
    title = "Quantifying the effect of wind on internal wave resonance in Lake Villarrica, Chile",
    abstract = "Lake Villarrica, located in south central Chile, has a maximum depth of 167 m and a maximum 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 non-linear 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 basin-scale 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 Poincar{\'e}-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.",
    author = "Carlos Rozas and {de la Fuente}, Alberto and Hugo Ulloa and Peter Davies and Yarko Ni{\~n}o",
    note = "{\circledC} 2013 Springer Science+Business Media Dordrecht.",
    year = "2014",
    month = "8",
    doi = "10.1007/s10652-013-9329-9",
    language = "English",
    volume = "14",
    pages = "849--871",
    journal = "Environmental Fluid Mechanics",
    issn = "1567-7419",
    publisher = "Springer Netherlands",
    number = "4",

    }

    Quantifying the effect of wind on internal wave resonance in Lake Villarrica, Chile. / Rozas, Carlos (Lead / Corresponding author); de la Fuente, Alberto; Ulloa, Hugo; Davies, Peter; Niño, Yarko.

    In: Environmental Fluid Mechanics, Vol. 14, No. 4, 08.2014, p. 849-871.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Quantifying the effect of wind on internal wave resonance in Lake Villarrica, Chile

    AU - Rozas, Carlos

    AU - de la Fuente, Alberto

    AU - Ulloa, Hugo

    AU - Davies, Peter

    AU - Niño, Yarko

    N1 - © 2013 Springer Science+Business Media Dordrecht.

    PY - 2014/8

    Y1 - 2014/8

    N2 - Lake Villarrica, located in south central Chile, has a maximum depth of 167 m and a maximum 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 non-linear 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 basin-scale 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.

    AB - Lake Villarrica, located in south central Chile, has a maximum depth of 167 m and a maximum 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 non-linear 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 basin-scale 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.

    UR - http://www.scopus.com/record/display.uri?eid=2-s2.0-84904504685&origin=resultslist&sort=plf-f&src=s&st1=Quantifying+the+effect+of+wind+on+internal+wave+resonance+in+Lake+Villarrica%2c+Chile&st2=&sid=599E77657C14B6DDEE250775E7A615FF.Vdktg6RVtMfaQJ4pNTCQ%3a520&sot=b&sdt=b&sl=98&s=TITLE-ABS-KEY%28Quantifying+the+effect+of+wind+on+internal+wave+resonance+in+Lake+Villarrica%2c+Chile%29&relpos=0&citeCnt=1&searchTerm=

    U2 - 10.1007/s10652-013-9329-9

    DO - 10.1007/s10652-013-9329-9

    M3 - Article

    VL - 14

    SP - 849

    EP - 871

    JO - Environmental Fluid Mechanics

    JF - Environmental Fluid Mechanics

    SN - 1567-7419

    IS - 4

    ER -