Introduction to Geophysical Fluid Dynamics : Physical and Numerical Aspects
Benoit. Cushman-Roisin
Bok Engelsk 2011 · Electronic books.
| Annen tittel | |
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| Utgitt | Burlington : : Elsevier Science, , 2011.
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| Omfang | 1 online resource (850 p.)
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| Utgave | 2nd ed.
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| Opplysninger | Description based upon print version of record.. - Front Cover; Introduction to Geophysical Fluid Dynamics: Physical and Numerical Aspects; Copyright; Table of Contents; Foreword; Preface; Preface of the First Edition; I Fundamentals; 1 Introduction; 1.1 Objective; 1.2 Importance of Geophysical Fluid Dynamics; 1.3 Distinguishing Attributes of Geophysical Flows; 1.4 Scales of Motions; 1.5 Importance of Rotation; 1.6 Importance of Stratification; 1.7 Distinction between the Atmosphere and Oceans; 1.8 Data Acquisition; 1.9 The Emergence of Numerical Simulations; 1.10 Scales Analysis and Finite Differences; 1.11 Higher-Order Methods. - 1.12 AliasingAnalytical Problems; Numerical Exercises; 2 The Coriolis Force; 2.1 Rotating Framework of Reference; 2.2 Unimportance of the Centrifugal Force; 2.3 Free Motion on a Rotating Plane; 2.4 Analogy and Physical Interpretation; 2.5 Acceleration on a Three-Dimensional Rotating Planet; 2.6 Numerical Approach to Oscillatory Motions; 2.7 Numerical Convergence and Stability; 2.7.1 Formal Stability Definition; 2.7.2 Strict Stability; 2.7.3 Choice of a Stability Criterion; 2.8 Predictor-Corrector Methods; 2.9 Higher-Order Schemes; Analytical Problems; Numerical Exercises. - 3 Equations of Fluid Motion3.1 Mass Budget; 3.2 Momentum Budget; 3.3 Equation of State; 3.4 Energy Budget; 3.5 Salt and Moisture Budgets; 3.6 Summary of Governing Equations; 3.7 Boussinesq Approximation; 3.8 Flux Formulation and Conservative Form; 3.9 Finite-Volume Discretization; Analytical Problems; Numerical Exercises; 4 Equations Governing Geophysical Flows; 4.1 Reynolds-Averaged Equations; 4.2 Eddy Coefficients; 4.3 Scales of Motion; 4.4 Recapitulation of Equations Governing Geophysical Flows; 4.5 Important Dimensionless Numbers; 4.6 Boundary Conditions; 4.6.1 Kinematic Conditions. - 4.6.2 Dynamic Conditions4.6.3 Heat, Salt, and Tracer Boundary Conditions; 4.7 Numerical Implementation of Boundary Conditions; 4.8 Accuracy and Errors; 4.8.1 Discretization Error Estimates; Analytical Problems; Numerical Exercises; 5 Diffusive Processes; 5.1 Isotropic, Homogeneous Turbulence; 5.1.1 Length and Velocity Scales; 5.1.2 Energy Spectrum; 5.2 Turbulent Diffusion; 5.3 One-Dimensional Numerical Scheme; 5.4 Numerical Stability Analysis; 5.5 Other One-Dimensional Schemes; 5.6 Multi-Dimensional Numerical Schemes; Analytical Problems; Numerical Exercises; 6 Transport and Fate. - 6.1 Combination of Advection and Diffusion6.2 Relative Importance of Advection: The Peclet Number; 6.3 Highly Advective Situations; 6.4 Centered and Upwind Advection Schemes; 6.5 Advection-Diffusion with Sources and Sinks; 6.6 Multidimensional Approach; Analytical Problems; Numerical Exercises; II Rotation Effects; 7 Geostrophic Flows and Vorticity Dynamics; 7.1 Homogeneous Geostrophic Flows; 7.2 Homogeneous Geostrophic Flows Over an Irregular Bottom; 7.3 Generalization to Nongeostrophic Flows; 7.4 Vorticity Dynamics; 7.5 Rigid-Lid Approximation. - 7.6 Numerical Solution of the Rigid-Lid Pressure Equation. - This book provides an introductory-level exploration of geophysical fluid dynamics (GFD), the principles governing air and water flows on large terrestrial scales. Physical principles are illustrated with the aid of the simplest existing models, and the computer methods are shown in juxtaposition with the equations to which they apply. It explores contemporary topics of climate dynamics and equatorial dynamics, including the Greenhouse Effect, global warming, and the El Nino Southern Oscillation.Combines both physical and numerical aspects of geophysical fluid dynamics into a s
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| Emner | |
| Sjanger | |
| Dewey | |
| ISBN | 0120887592. - 9780120887590
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