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Chapter Nineteen. Functional Discretization of Friction
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Chapters in this book
- Frontmatter i
- Contents vii
- Foreword xiii
- Preface xv
- Acknowledgments xxv
- About the Cover xxvii
- List of Symbols xxix
- Chapter One. Ocean Climate Models 1
-
Part 1. Fundamental Ocean Equations
- Chapter Two. Basics of Ocean Fluid Mechanics 7
- Chapter Three. Kinematics 24
- Chapter Four. Dynamics 42
- Chapter Five. Thermo-Hydrodynamics 87
- Chapter Six. Generalized Vertical Coordinates 121
-
Part 2. Averaged Descriptions
- Chapter Seven. Concerning Unresolved Physics 155
- Chapter Eight. Eulerian Averaged Equations 169
- Chapter Nine. Kinematics of an Isentropic Ensemble 189
-
Part 3. Semi-Discrete Equations and Algorithms
- Chapter Ten. Discretization Basics 217
- Chapter Eleven. Mass and Tracer Budgets 222
- Chapter Twelve. Algorithms for Hydrostatic Ocean Models 237
-
Part 4. Neutral Physics
- Chapter Thirteen. Basics of Neutral Physics 283
- Chapter Fourteen. Neutral Transport Operators 296
- Chapter Fifteen. Neutral Physics Near the Surface Boundary 328
- Chapter Sixteen. Functional Discretization of Neutral Physics 345
-
Part 5. Horizontal Friction
- Chapter Seventeen. Horizontal Friction in Models 379
- Chapter Eighteen. Choosing the Horizontal Viscosity 409
- Chapter Nineteen. Functional Discretization of Friction 424
-
Part 6. Tensor Analysis
- Chapter Twenty. Elementary Tensor Analysis 443
- Chapter Twenty-One. Calculus on Curved Manifolds 466
-
Part 7. Epilogue
- Chapter Twenty-Two. Some Closing Comments and Challenges 489
- Bibliography 493
- Index 511
Chapters in this book
- Frontmatter i
- Contents vii
- Foreword xiii
- Preface xv
- Acknowledgments xxv
- About the Cover xxvii
- List of Symbols xxix
- Chapter One. Ocean Climate Models 1
-
Part 1. Fundamental Ocean Equations
- Chapter Two. Basics of Ocean Fluid Mechanics 7
- Chapter Three. Kinematics 24
- Chapter Four. Dynamics 42
- Chapter Five. Thermo-Hydrodynamics 87
- Chapter Six. Generalized Vertical Coordinates 121
-
Part 2. Averaged Descriptions
- Chapter Seven. Concerning Unresolved Physics 155
- Chapter Eight. Eulerian Averaged Equations 169
- Chapter Nine. Kinematics of an Isentropic Ensemble 189
-
Part 3. Semi-Discrete Equations and Algorithms
- Chapter Ten. Discretization Basics 217
- Chapter Eleven. Mass and Tracer Budgets 222
- Chapter Twelve. Algorithms for Hydrostatic Ocean Models 237
-
Part 4. Neutral Physics
- Chapter Thirteen. Basics of Neutral Physics 283
- Chapter Fourteen. Neutral Transport Operators 296
- Chapter Fifteen. Neutral Physics Near the Surface Boundary 328
- Chapter Sixteen. Functional Discretization of Neutral Physics 345
-
Part 5. Horizontal Friction
- Chapter Seventeen. Horizontal Friction in Models 379
- Chapter Eighteen. Choosing the Horizontal Viscosity 409
- Chapter Nineteen. Functional Discretization of Friction 424
-
Part 6. Tensor Analysis
- Chapter Twenty. Elementary Tensor Analysis 443
- Chapter Twenty-One. Calculus on Curved Manifolds 466
-
Part 7. Epilogue
- Chapter Twenty-Two. Some Closing Comments and Challenges 489
- Bibliography 493
- Index 511