The Equations of Oceanic Motions

A graduate textbook/reference that derives and classifies the dynamic equations used in physical oceanography, including mathematical appendices.

This comprehensive textbook derives and classifies the most common dynamic equations used in physical oceanography, emphasizing the assumptions made and the physical processes eliminated. Providing a clear exposition of the concepts for graduate students and researchers of physical oceanography, all of the necessary mathematical tools are covered in appendices.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.