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  • Fluid mechanics  (2)
  • Mathematical physics  (2)
  • Baroclinic models.  (1)
  • 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
    Keywords: Earth sciences ; Earth Sciences ; Geophysics ; Mathematical physics ; Thermodynamics ; Fluid mechanics
    Description / Table of Contents: In this book fluid mechanics and thermodynamics (F&T) are approached as interwoven, not disjoint fields. The book starts by analyzing the creeping motion around spheres at rest: Stokes flows, the Oseen correction and the Lagerstrom-Kaplun expansion theories are presented, as is the homotopy analysis. 3D creeping flows and rapid granular avalanches are treated in the context of the shallow flow approximation, and it is demonstrated that uniqueness and stability deliver a natural transition to turbulence modeling at the zero, first order closure level. The difference-quotient turbulence model (DQTM) closure scheme reveals the importance of the turbulent closure schemes’ non-locality effects. Thermodynamics is presented in the form of the first and second laws, and irreversibility is expressed in terms of an entropy balance. Explicit expressions for constitutive postulates are in conformity with the dissipation inequality. Gas dynamics offer a first application of combined F&T. The book is rounded out by a chapter on dimensional analysis, similitude, and physical experiments
    Type of Medium: Online Resource
    Pages: Online-Ressource (XX, 633 p. 196 illus., 50 illus. in color, online resource)
    ISBN: 9783319336367
    Series Statement: Advances in Geophysical and Environmental Mechanics and Mathematics
    Language: English
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  • 3
    Online Resource
    Online Resource
    Cham : Springer
    Keywords: Earth sciences ; Earth Sciences ; Geophysics ; Mathematical physics ; Fluids ; Fluid mechanics
    Description / Table of Contents: This first volume discusses fluid mechanical concepts and their applications to ideal and viscous processes. It describes the fundamental hydrostatics and hydrodynamics, and includes an almanac of flow problems for ideal fluids. The book presents numerous exact solutions of flows in simple configurations, each of which is constructed and graphically supported. It addresses ideal, potential, Newtonian and non-Newtonian fluids. Simple, yet precise solutions to special flows are also constructed, namely Blasius boundary layer flows, matched asymptotics of the Navier-Stokes equations, global laws of steady and unsteady boundary layer flows and laminar and turbulent pipe flows. Moreover, the well-established logarithmic velocity profile is criticised
    Type of Medium: Online Resource
    Pages: Online-Ressource (XIX, 639 p. 340 illus., 109 illus. in color, online resource)
    ISBN: 9783319336336
    Series Statement: Advances in Geophysical and Environmental Mechanics and Mathematics
    Language: English
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