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  • 1
    Book
    Book
    Ocean circulation theory (1996)
    Berlin : Springer
    Details Availability
    Keywords: Ocean circulation ; Meereskunde ; Zirkulation ; Mathematisches Modell
    Type of Medium: Book
    Pages: XI, 453 S. , graph. Darst., Kt.
    ISBN: 0387604898 , 3540604898
    URL: https://swbplus.bsz-bw.de/bsz050716581cov.jpg
    URL: http://www.loc.gov/catdir/enhancements/fy0815/96013298-d.html
    URL: http://www.loc.gov/catdir/enhancements/fy0815/96013298-t.html
    URL: http://www.gbv.de/dms/bowker/toc/9783540604891.pdf
    DDC: 551.47
    RVK:
    RZ 10414
    RVK:
    RB 10414
    Language: English
    Note: Literaturangaben
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  • 2
    Book
    Book
    Waves in the ocean and atmosphere : introduction to wave dynamics (2003)
    Berlin : Springer
    Details Availability
    Keywords: Ocean waves ; Atmospheric waves ; Atmosphäre ; Gleichung ; Kinematik ; Laplace Gleichung ; Luft ; Modell ; Ozeane ; Physik ; Rossby waves ; Wellen ; Meereswelle ; Hydrodynamik ; Atmosphäre ; Wellenbewegung ; Atmosphäre ; Wellenausbreitung ; Meer ; Wellenausbreitung
    Description / Table of Contents: The text presents a treatment of the fundamental theory of waves. Starting with an elementary treatment of the basic wave concept, specific wave phenomena are treated including: surface gravity waves, internal gravity waves, lee waves, waves in the presence of rotation, geostrophic adjustment, quasi-geostrophic waves and potential vorticity, wave-mean flow interaction, unstable waves. Each wave topic is used to introduce either a new technique or concept in general wave theory. The book contains numerous end-of-chapter exercises. (MOD)
    Type of Medium: Book
    Pages: VIII, 260 S , graph. Darst , 25 cm
    ISBN: 3540003401
    URL: https://swbplus.bsz-bw.de/bsz107262363inh.htm
    URL: https://swbplus.bsz-bw.de/bsz107262363kap.htm
    URL: https://swbplus.bsz-bw.de/bsz107262363cov.jpg
    URL: http://www.loc.gov/catdir/enhancements/fy0817/2003053862-d.html
    DDC: 551.4702
    RVK:
    UT 5000
    RVK:
    UF 5000-UF 5250
    RVK:
    UT 3100
    Language: English
    Note: Literaturverz. S. [249] - 251
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  • 3
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    The nonlinear downstream development of baroclinic instability (2012)
    Sears Foundation for Marine Research
    Details
    Publication Date: 2022-05-25
    Description: Author Posting. © Sears Foundation for Marine Research, 2011. This article is posted here by permission of Sears Foundation for Marine Research for personal use, not for redistribution. The definitive version was published in Journal of Marine Research 69 (2011): 705-722, doi:10.1357/002224011799849363.
    Description: The downstream development in both space and time of baroclinic instability is studied in a nonlinear channel model on the f-plane. The model allows the development of the instability to be expressed on space and time scales that are long compared to the growth rates and wavelengths of the most unstable wave. The unstable system is forced by time-varying boundary conditions at the origin of the channel and so serves as a conceptual model for the development of fluctuations in currents like the Gulf Stream and Kuroshio downstream of their separation points from their respective western boundaries. The theory is developed for both substantially dissipative systems as well as weakly dissipative systems for which the viscous decay time is of the order of the advective time in the former case and the growth time in the latter case. In the first case a first order equation in time leads to a hyperbolic system for which exact solutions are found in the case of monochromatic forcing. For a finite bandwidth the governing equations are nonlinear and parabolic and could be put in the form of the Real Ginzburg Landau equation first developed by Newell and Whitehead (1969) and Segel (1969) although we show the equation is not pertinent to the downstream development problem. When the dissipation is small a third order system of partial differential equations is obtained. For steady states the system supports chaotic behavior along the characteristics. This produces for the-time dependent problem new features, principally a strong focusing of amplitude in the regions behind the advancing front and the appearance of what might be called “chaotic shocks.“
    Description: This research was supported in part by NSF Grant OCE 0925061.
    Repository Name: Woods Hole Open Access Server
    Type: Article
    Format: application/pdf
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  • 4
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    Wind-driven barotropic gyre I : circulation control by eddy vorticity fluxes to an enhanced removal region (2007)
    Sears Foundation for Marine Research
    Details
    Publication Date: 2022-05-25
    Description: Author Posting. © Sears Foundation for Marine Research, 2004. This article is posted here by permission of Sears Foundation for Marine Research for personal use, not for redistribution. The definitive version was published in Journal of Marine Research 62 (2004): 169-193, doi:10.1357/002224004774201681.
    Description: It is well known that the barotropic, wind-driven, single-gyre ocean model reaches an inertially-dominated equilibrium with unrealistic circulation strength when the explicit viscosity is reduced to realistically low values. It is shown here that the overall circulation strength can be controlled nonlocally by retaining thin regions of enhanced viscosity parameterizing the effects of increased mixing and topographic interaction near the boundaries. The control is possible even when the inertial boundary layer width is larger than the enhanced viscosity region, as eddy fluxes of vorticity from the interior transport vorticity across the mean streamlines of the inertial boundary current to the frictional region. In relatively inviscid calculations the eddies are the major means of flux across interior mean streamlines.
    Description: B.F.-K. was supported in part by an ONR-supported NDSEG Fellowship, an MIT Presidential Fellowship, a GFDL/Princeton University postdoctoral fellowship, and a NOAA Climate and Global Change postdoctoral fellowship (managed by UCAR). Both authors were supported in part by NSF OCE 9910654.
    Repository Name: Woods Hole Open Access Server
    Type: Article
    Format: 753053 bytes
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  • 5
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    The skirted island : the effect of topography on the flow around planetary scale islands (2010)
    Sears Foundation for Marine Research
    Details
    Publication Date: 2022-05-25
    Description: Author Posting. © Sears Foundation for Marine Research, 2009. This article is posted here by permission of Sears Foundation for Marine Research for personal use, not for redistribution. The definitive version was published in Journal of Marine Research 67 (2009): 435-478, doi:10.1357/002224009790741085.
    Description: The flow around planetary scale islands is examined when the island possesses a topographic skirt representing a steep continental shelf. The model is barotropic and governed by the shallow water equations and the motion is driven by a wind stress with a constant curl. The presence of the strong topographic "skirt" around the island vitiates the elegant Island Rule of Godfrey and the closed potential vorticity contours around the island produced by the topography allow a geostrophic, stationary mode to resonate with an amplitude that is limited only by dissipation. In the limit of weak forcing the outline of the outermost closed potential vorticity isoline essentially replaces the island shape and determines the flow beyond that contour. Stronger nonlinearity produces substantial changes in the flow pattern as well as the transports trapped on the closed contours and the transport between the island and the basin boundary. Laboratory experiments, numerical calculations and analytical results are presented describing the structure of the flow. A western standing meander at the edge of the island's topography involves a rapid change in the direction of flow and this feature, predicted by analytical and numerical calculations is confirmed in laboratory experiments. As the measure of nonlinearity is increased beyond a threshold that depends on the ratio of the inertial boundary layer thickness to the Munk layer thickness the flow becomes time dependent and a strong eddy field emerges. The transports on the closed contours and the inter-basin exchange outside the closed potential vorticity contours show an enhancement over the linear analytical approximation as nonlinearity increases.
    Description: This work was supported in part by NSF grant OCE-0451086 (JP) and NSF OCE 05-25729 (KH).
    Repository Name: Woods Hole Open Access Server
    Type: Article
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  • 6
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    Symmetric instability of cross-stream varying currents (2014)
    Sears Foundation for Marine Research
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    Publication Date: 2022-05-26
    Description: Author Posting. © Sears Foundation for Marine Research, 2014. This article is posted here by permission of Sears Foundation for Marine Research for personal use, not for redistribution. The definitive version was published in Journal of Marine Research 72 (2014): 31-45, doi:10.1357/002224014812655206.
    Description: The symmetric instability of a simple shear flow in which the velocity is a linear function of the vertical coordinate but which varies slowly in the cross-stream direction is studied using an asymptotic analytical method. Explicit analytical solutions are found for the evolution of the envelope of the developing linear instability. Although the problem with no lateral variation yields cell-like instabilities growing in place, the lateral variation of the shear produces time dependence and cross-stream propagation of the envelope and accompanying cells. A similar solution is derived for the case of laterally uniform shear in a current whose depth slowly varies exponentially in the cross-stream direction producing similar time dependence to the otherwise stationary cell pattern.
    Repository Name: Woods Hole Open Access Server
    Type: Article
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  • 7
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    Baroclinic instability over topography : unstable at any wave number (2016)
    Sears Foundation for Marine Research
    Details
    Publication Date: 2022-05-26
    Description: Author Posting. © Sears Foundation for Marine Research, 2016. This article is posted here by permission of Sears Foundation for Marine Research for personal use, not for redistribution. The definitive version was published in Journal of Marine Research 74 (2016): 1-19, doi:10.1357/002224016818377595.
    Description: The instability of an inviscid, baroclinic vertically sheared current of uniform potential vorticity, flowing along a uniform topographic slope, becomes linearly unstable at all wave numbers if the flow is in the direction of propagation of topographic waves. The parameter region of instability in the plane of scaled topographic slope versus wave number then extends to arbitrarily large wave numbers at large slopes. The weakly nonlinear treatment of the problem reveals the existence of a nonlinear enhancement of the instability close to one of the two boundaries of this parametrically narrow unstable region. Because the domain of instability becomes exponentially narrow for large wave numbers, it is unclear how applicable the results of the asymptotic, weakly nonlinear theory are given that it must be limited to a region of small supercriticality. This question is pursued in that parameter domain through the use of a truncated model in which the approximations of weakly nonlinear theory are avoided. This more complex model demonstrates that the linearly most unstable wave in the narrow wedge in parameter space is nonlinearly stable and that the region of nonlinear destabilization is limited to a tiny region near one of the critical curves rendering both the linear and nonlinear growth essentially negligible.
    Keywords: Topography ; Coastal ; Coastal waves ; Non linear ; Slope ; Wave propagation ; Most unstable ; Asymptotic theory ; Potential vorticity
    Repository Name: Woods Hole Open Access Server
    Type: Article
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