Fundamentals of Ocean Climate Models / / Stephen Griffies.

• Superior document: Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013
• VerfasserIn: Griffies, Stephen,
• MitwirkendeR: McDougall, Trevor J.,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2018]; ©2005
• Year of Publication: 2018
• Language: English
• Physical Description: 1 online resource

This book sets forth the physical, mathematical, and numerical foundations of computer models used to understand and predict the global ocean climate system. Aimed at students and researchers of ocean and climate science who seek to understand the physical content of ocean model equations and numerical methods for their solution, it is largely general in formulation and employs modern mathematical techniques. It also highlights certain areas of cutting-edge research. Stephen Griffies presents material that spans a broad spectrum of issues critical for modern ocean climate models. Topics are organized into parts consisting of related chapters, with each part largely self-contained. Early chapters focus on the basic equations arising from classical mechanics and thermodynamics used to rationalize ocean fluid dynamics. These equations are then cast into a form appropriate for numerical models of finite grid resolution. Basic discretization methods are described for commonly used classes of ocean climate models. The book proceeds to focus on the parameterization of phenomena occurring at scales unresolved by the ocean model, which represents a large part of modern oceanographic research. The final part provides a tutorial on the tensor methods that are used throughout the book, in a general and elegant fashion, to formulate the equations.

Table of Contents

Frontmatter -- Contents -- Foreword -- Preface -- Acknowledgments -- About the Cover -- List of Symbols -- Chapter One. Ocean Climate Models -- Part 1. Fundamental Ocean Equations -- Chapter Two. Basics of Ocean Fluid Mechanics -- Chapter Three. Kinematics -- Chapter Four. Dynamics -- Chapter Five. Thermo-Hydrodynamics -- Chapter Six. Generalized Vertical Coordinates -- Part 2. Averaged Descriptions -- Chapter Seven. Concerning Unresolved Physics -- Chapter Eight. Eulerian Averaged Equations -- Chapter Nine. Kinematics of an Isentropic Ensemble -- Part 3. Semi-Discrete Equations and Algorithms -- Chapter Ten. Discretization Basics -- Chapter Eleven. Mass and Tracer Budgets -- Chapter Twelve. Algorithms for Hydrostatic Ocean Models -- Part 4. Neutral Physics -- Chapter Thirteen. Basics of Neutral Physics -- Chapter Fourteen. Neutral Transport Operators -- Chapter Fifteen. Neutral Physics Near the Surface Boundary -- Chapter Sixteen. Functional Discretization of Neutral Physics -- Part 5. Horizontal Friction -- Chapter Seventeen. Horizontal Friction in Models -- Chapter Eighteen. Choosing the Horizontal Viscosity -- Chapter Nineteen. Functional Discretization of Friction -- Part 6. Tensor Analysis -- Chapter Twenty. Elementary Tensor Analysis -- Chapter Twenty-One. Calculus on Curved Manifolds -- Part 7. Epilogue -- Chapter Twenty-Two. Some Closing Comments and Challenges -- Bibliography -- Index