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Ocean tides : mathematical models and numerical experiments

Author: G I Marchuk; B A Kagan
Publisher: Burlington : Pergamon Press/Elsevier Science, [2014], ©1984.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Ocean Tides: Mathematical Models and Numerical Experiments discusses the mathematical concepts involved in understanding the behavior of oceanic tides. The book utilizes mathematical models and equations to interpret physical peculiarities of tidal generation. The text first presents the essential information on the theory of tide, and then proceeds to tackling the studies on the equations of tidal dynamics. Next,  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Marchuk, G.I.
Ocean Tides : Mathematical Models and Numerical Experiments.
Burlington : Elsevier Science, ©2014
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: G I Marchuk; B A Kagan
ISBN: 9781483189789 1483189783
OCLC Number: 898771757
Description: 1 online resource (305 pages)
Contents: Front Cover; Ocean Tides: Mathematical Models and Numerical Experiments; Copyright Page; Foreword; Preface; Table of Contents; Introduction; CHAPTER 1. Indispensable Information on the Theory of Tides; 1.1 Forces Inducing Ocean Tides; 1.2. Tidal Potential; 1.3. Equations of Tidal Dynamics; 1.4. Additional Potentials of Deformation; 1.5. Boundary Conditions; 1.6. References; CHAPTER 2. Studies on the Equations of Tidal Dynamics; 2.1. Formulation of the Problem; 2.2. Basic Notions and Definitions; 2.3. Uniqueness Theorem; 2.4. A priori Estimates; 2.5. Existence Theorem. 2.6. On the Existence of a Periodic Solutionof the Equations of Tidal Dynamics2.7. Conjugate Equations of Tidal Dynamics; 2.8. The Perturbation Theory; 2.9. The Spectral Problem; 2.10. References; CHAPTER 3. Numerical Methods for the Solutionof the Equations of Tidal Dynamics; 3.1. Method of Boundary Values; 3.2. HN-method; 3.3. Modified Variant of the HN-method; 3.4. The Method of Fractional Steps; 3.5. A Modified Variant of the Method of Fractional Steps; 3.6. References; CHAPTER 4. Tides in the World Ocean; 4.1. Empirical Cotidal Charts. 4.2. Basic Features of the Spatial Distributionof Tides in the World Ocean4.3. An Example of Numerical Modellingof Tides in the World Ocean; 4.4. Some Other Calculations of Tides in the World Ocean; 4.5. Numerical Experiments on Tidal Dynamics in theWorld Ocean; 4.6. Estimation of the Rate of Tidal Energy Dissipationin the open Ocean; 4.7. References; CHAPTER 5. The Bottom Boundary Layerin Tidal Flows; 5.1. Some Definitions; 5.2. Experimental Data; 5.3. Theoretical Models of the Bottom Boundary Layer in Tidal Flows; 5.4. On the Resistance Law in Tidal Flow; 5.5 References. CHAPTER 6. Vertical Structure of InternalTidal Waves6.1. Generation of Internal Tidal Waves; 6.2. Qualitative Analysis of the Equations for Internal Waves; 6.3. Vertical Structure of Internal Tidal Waves in a RealisticallyStratified Ocean; 6.4. References; Bibliography; Additional References; AppendixNotes added to the proofs; Index.
Other Titles: Okeanskie prilivy.
Responsibility: G.I. Marchuk and B.A. Kagan ; translated by E.V. Blinova and L. Ya. Yusina ; translation editor, D.E. Cartwright.

Abstract:

Ocean Tides: Mathematical Models and Numerical Experiments discusses the mathematical concepts involved in understanding the behavior of oceanic tides. The book utilizes mathematical models and equations to interpret physical peculiarities of tidal generation. The text first presents the essential information on the theory of tide, and then proceeds to tackling the studies on the equations of tidal dynamics. Next, the book covers the numerical methods for the solution of the equations of tidal dynamics. Chapter 4 deals with the tides in the World Ocean, while Chapter 5 talks about the bottom b.

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