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  • 1
    Online Resource
    Online Resource
    Cambridge :Cambridge University Press,
    Keywords: Baroclinic models. ; Electronic books.
    Description / Table of Contents: Baroclinic Tides demonstrates the analytical and numerical methods used to study their generation and evolution and, by comparison with experiments and observational data, shows how to distinguish and interpret internal waves. This 2005 book is intended for researchers and graduate students of physical oceanography, geophysical fluid dynamics and hydroacoustics.
    Type of Medium: Online Resource
    Pages: 1 online resource (373 pages)
    Edition: 1st ed.
    ISBN: 9780511199738
    DDC: 551.46/3
    Language: English
    Note: Cover -- Half-title -- Title -- Copyright -- Dedication -- Contents -- Tables -- Preface -- Acknowledgements -- Symbols -- Abbreviations -- Preamble -- 1 General background -- 1.1 Introduction -- 1.2 Governing equations: basic assumptions and hypotheses -- Nonadiabatic processes -- Equations for wave disturbances -- Boussinesq approximation -- Approximation of the Coriolis acceleration -- Reynolds equations -- 1.3 Problem formulation: boundary and initial conditions -- Problem formulation -- Boundary and initial conditions -- 1.4 Linear wave equation -- 1.5 Linear boundary value problem and dispersion relation -- 1.5.1 Formulation of the boundary value problem -- 1.5.2 Linear vertical mode analysis -- 1.6 Nonlinear wave problem -- 2 Linear baroclinic tides over variable bottom topography -- 2.1 Analytical solution for "small" bottom features -- 2.1.1 Generation of internal waves by an oscillating tidal flux -- Zeroth-order solution -- First-order solution -- 2.1.2 Scattering of internal waves by a bottom obstacle -- 2.2 Numerical model for large bottom obstacles -- Step 1: Introduction of the grid -- Step 2: Finding the recurrence relation -- Step 3: Upstream procedure -- Step 4: Orthogonalization -- Step 5: Downstream procedure and orthogonalization -- Step 6: Truncation -- 2.3 Wave dynamics over oceanic ridges: applicability of the perturbation method -- 2.3.1 Generation of internal waves -- 2.3.2 Internal wave scattering -- 2.4 Wave dynamics in slope-shelf regions -- 2.4.1 Generation of baroclinic tides -- 2.4.2 Transformation of baroclinic tides -- 2.5 Internal waves near steep bottom topography -- 2.6 Internal waves near the critical latitude -- 3 Combined effect of horizontal density gradient and bottom topography on the dynamics of linear baroclinic tides -- 3.1 Semianalytical two-layer model. , 3.2 Wave characteristics derived from the two-layer model -- 3.2.1 Generation of internal waves -- 3.2.2 Internal wave scattering -- 3.3 Applicability of layer models -- 3.4 Riemann method for a continuously stratified fluid -- 3.5 Propagation of internal waves through a frontal zone -- 3.6 Generation of baroclinic tides in the presence of a frontal zone -- 4 Topographic generation of nonlinear baroclinic tides -- 4.1 Experimental evidence for nonlinear baroclinic tides -- 4.2 Numerical model for the description of nonlinear waves -- First semistep -- Second semistep -- 4.3 Qualitative analysis of the excitation mechanism -- 4.4 Generation mechanism at low Froude numbers: baroclinic tides -- 4.5 Influence of the intensity of the tidal forcing and dissipation -- 4.6 Critical Froude numbers: excitement of unsteady lee waves -- 5 Evolutionary stages of baroclinic tides -- 5.1 Analytical models for the evolution of baroclinic tides -- 5.2 Solitary internal waves as manifestations of the coherent structure of baroclinic tides -- 5.2.1 Long's equation -- 5.2.2 First-order weakly nonlinear theory -- 5.2.3 Second-order weakly nonlinear theory -- 5.3 Structure of large-amplitude solitary internal waves -- 5.3.1 Numerical model for stationary wave solutions -- 5.3.2 Characteristics of large waves -- 5.3.3 Observational evidence of large waves -- 5.4 Interaction of large-amplitude SIWs with bottom topography -- 5.4.1 Scenarios of wave-topography interaction -- Scenario 1: Wave adjustment when aξ /(H . Hξ ) 1 -- Scenario 2: Wave transformation at aξ /(H . Hξ ) 1 -- Scenario 3: Wave breaking at aξ /(H . Hξ ) > -- 1 -- 5.4.2 Strong wave-topography interaction: breaking criterion -- Kinematics of wave breaking -- Breaking criterion -- 5.4.3 Generation of high baroclinic modes by wave-topography interaction -- Experimental setup and measuring technique. , The experiments -- Typical experimental data -- Results of the numerical modeling -- 6 Generation mechanism for different background conditions -- 6.1 Effects related to the rotation of the Earth -- 6.1.1 Barents Sea Polar Front experiment -- 6.1.2 Baroclinic tides -- 6.1.3 Short internal waves -- 6.1.4 Dependence on the rotation of the Earth -- 6.2 Influence of the fluid stratification -- 6.2.1 Variation of the vertical position of the pycnocline -- 6.2.2 Effect of horizontal density gradients -- 6.3 Baroclinic tides over steep bottom features: "mode" and "beam" approaches -- 6.4 Strong high-mode baroclinic response over steep bottom topography -- 6.5 Generation mechanism at large Froude numbers -- 6.6 Summary of generation mechanism -- 7 Three-dimensional effects of baroclinic tides -- 7.1 Influence of wave refraction -- 7.1.1 Observations of SIWs on the Portuguese Shelf -- 7.1.2 Generation of waves at the Oporto Seamount -- 7.1.3 Far-field generation from a shelf edge -- 7.2 Baroclinic tides in narrow channels and straits -- 7.2.1 Modification of the model for straits -- 7.2.2 Dynamics of internal waves in the Skarnsund Strait -- 7.2.3 Residual currents produced by nonlinear waves -- 7.2.4 Experiments on the dynamics of a passive admixture -- References -- Index.
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  • 2
    Publication Date: 2022-05-26
    Description: Author Posting. © American Meteorological Society, 2014. This article is posted here by permission of American Meteorological Society for personal use, not for redistribution. The definitive version was published in Journal of Physical Oceanography 44 (2014): 1116–1132, doi:10.1175/JPO-D-13-0194.1.
    Description: Internal solitary waves commonly observed in the coastal ocean are often modeled by a nonlinear evolution equation of the Korteweg–de Vries type. Because these waves often propagate for long distances over several inertial periods, the effect of Earth’s background rotation is potentially significant. The relevant extension of the Kortweg–de Vries is then the Ostrovsky equation, which for internal waves does not support a steady solitary wave solution. Recent studies using a combination of asymptotic theory, numerical simulations, and laboratory experiments have shown that the long time effect of rotation is the destruction of the initial internal solitary wave by the radiation of small-amplitude inertia–gravity waves, and the eventual emergence of a coherent, steadily propagating, nonlinear wave packet. However, in the ocean, internal solitary waves are often propagating over variable topography, and this alone can cause quite dramatic deformation and transformation of an internal solitary wave. Hence, the combined effects of background rotation and variable topography are examined. Then the Ostrovsky equation is replaced by a variable coefficient Ostrovsky equation whose coefficients depend explicitly on the spatial coordinate. Some numerical simulations of this equation, together with analogous simulations using the Massachusetts Institute of Technology General Circulation Model (MITgcm), for a certain cross section of the South China Sea are presented. These demonstrate that the combined effect of shoaling and rotation is to induce a secondary trailing wave packet, induced by enhanced radiation from the leading wave.
    Description: KH was supported by Grants N00014-09-10227 and N00014-11-0701 from the Office of Naval Research.
    Description: 2014-10-01
    Keywords: Circulation/ Dynamics ; Internal waves ; Solitary waves ; Models and modeling ; Nonlinear models
    Repository Name: Woods Hole Open Access Server
    Type: Article
    Format: application/pdf
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