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  • Articles  (2)
  • Key words: Turbulence, k-ɛ model, wind-driven currents, eddy viscosity, vertical mixing, inertial oscillations.  (1)
  • hydrodynamic fundamentals  (1)
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  • Articles  (2)
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  • 1
    Electronic Resource
    Electronic Resource
    Modeling wind-induced circulation in the homogeneous Lake Constance using k-ɛ closure (1998)
    Springer
    Aquatic sciences 60 (1998), S. 266-277 
    Details
    ISSN: 1420-9055
    Keywords: Key words: Turbulence, k-ɛ model, wind-driven currents, eddy viscosity, vertical mixing, inertial oscillations.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract: Barotropic models of wind-driven circulation commonly use vertical eddy-viscosities which are prescribed functions of depth and applied wind speed rather than a parameterization that is dictated by the turbulence intensity. We use a first order k-ɛ-closure to do this and demonstrate important qualitative differences with this classical turbulence closure in the pattern of wind induced barotropic currents in ideal basins, as well as in Lake Constance: penetration and Ekman layer depths respond with some delay time to the applied wind history as does the attenuation of inertial oscillations established by the wind. This also affects the topographically-induced current pattern. We demonstrate these features by subjecting the homogeneous Lake Constance to impulsive and spatially uniform external wind forcing of different strengths in the long direction. Specifically, the shallow-water equations are coupled via the vertical eddy-viscosity with the correspondingly approximated balance laws of turbulent kinetic energy and its dissipation, which are then solved numerically.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/PL00001317
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  • 2
    Electronic Resource
    Electronic Resource
    Large scale water movements in lakes (1991)
    Springer
    Aquatic sciences 53 (1991), S. 100-135 
    Details
    ISSN: 1420-9055
    Keywords: Physical limnology ; hydrodynamic fundamentals ; exterior/interior seiches ; coupled oscillations ; barotropic/baroclinic circulation ; three dimensional numerical techniques
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract By large scale circulation in lakes one means motions whose characteristic length scales extend over most parts or all of the water masses in a lake or the ocean. We present the governing equations and motivate, by means of a scale analysis, the various simplified versions of model equations that are in use in computational lake dynamics. This scale analysis not only permits rational deduction of the reduced equations, it equally provides a means of estimating their limitations. These are discussed as are the difficulties and the peculiarities inherent in the proposed equation sets. Special features of external and internal wave motions are studied. For barotropic oscillations of a lake system (Lake of Lugano) it is shown that substantial water masses are exchanged between the individual basins at the resonating periods. Baroclinic seiches of a three layer model in which each layer is effective within its own domain show (for the North basin of the Lake of Lugano) that mode structures may differ from layer to layer pointing at important modifications of classical interpretations of higher baroclinic wave dynamics. And in large lakes in the equatorial belt theβ-effect forces modifications of the classical understanding of seiche behavior. Long periodic oscillating features may be attributed to topographic Rossby waves or higher baroclinic internal gravity waves; the observational identification is, however, difficult because lack of spatial resolution of the data makes this identification non-unique. We, finally present results of a full nonlinear numerical baroclinic circulation model and demonstrate that it is able to reproduce the gross features of the immediate response to strong storms during a few days.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00877057
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    Paper (German National Licenses)
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