The equations of oceanic motions / Peter Müller.

Format:

Book

Author/Creator:

Müller, Peter, 1944- author.

Language:

English

Subjects (All):

Oceanography--Mathematics.

Oceanography.

Oceanography--Mathematical models.

Physical Description:

1 online resource (x, 291 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2006.

Language Note:

English

Summary:

Modeling and prediction of oceanographic phenomena and climate is based on the integration of dynamic equations. The Equations of Oceanic Motions derives and systematically classifies the most common dynamic equations used in physical oceanography, from large-scale thermohaline circulations to those governing small scale motions and turbulence. After establishing the basic dynamical equations that describe all oceanic motions, Müller then derives approximate equations, emphasizing the assumptions made and physical processes eliminated. He distinguishes between geometric, thermodynamic and dynamic approximations and between the acoustic, gravity, vortical and temperature-salinity modes of motion. Basic concepts and formulae of equilibrium thermodynamics, vector and tensor calculus, curvilinear coordinate systems, and the kinematics of fluid motion and wave propagation are covered in appendices. Providing the basic theoretical background for graduate students and researchers of physical oceanography and climate science, this book will serve as both a comprehensive text and an essential reference.

Contents:

Cover; Half-title; Title; Copyright; Contents; Preface; 1 Introduction; 2 Equilibrium thermodynamics of sea water; 3 Balance equations; 4 Molecular flux laws; 5 The gravitational potential; 6 The basic equations; 7 Dynamic impact of the equation of state; 8 Free wave solutions on a sphere; 9 Asymptotic expansions; 10 Reynolds decomposition; 11 Boussinesq approximation; 12 Large-scale motions; 13 Primitive equations; 14 Representation of vertical structure; 15 Ekman layers; 16 Planetary geostrophic flows; 17 Tidal equations; 18 Medium-scale motions; 19 Quasi-geostrophic flows

20 Motions on the f-plane21 Small-scale motions; 22 Sound waves; Appendix A Equilibrium thermodynamics; Appendix B Vector and tensor analysis; Appendix C Orthogonal curvilinear coordinate systems; Appendix D Kinematics of fluid motion; Appendix E Kinematics of waves; Appendix F Conventions and notation; References; Index

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

ISBN:

1-107-16599-7

1-280-56791-0

0-511-24174-7

0-511-24219-0

0-511-24071-6

0-511-31826-X

0-511-61784-4

0-511-24123-2

OCLC:

252527275