## Numerical Modeling of Ocean DynamicsWhile there are several excellent books dealing with numerical analysis and analytical theory, one has to practically sift through hundreds of references. This monograph is an attempt to partly rectify this situation. It aims to introduce the application of finite-difference methods to ocean dynamics as well as review other complex methods. Systematically presented, the monograph first gives a detailed account of the basics and then go on to discuss the various applications. Recognising the impossibility of covering the entire field of ocean dynamics, the writers have chosen to focus on transport equations (diffusion and advection), shallow water phenomena ? tides, storm surges and tsunamis, three-dimensional time dependent oceanic motion, natural oscillations, and steady state phenomena. The many aspects covered by this book makes it an indispensable handbook and reference source to both professionals and students of this field. |

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### Contents

CHAPTER | 1 |

Twodimensional equations | 14 |

Application of the stream function | 22 |

CHAPTER II | 37 |

Boundary and initial conditions | 43 |

viii | 48 |

Computational and physical modes of the numerical solution | 59 |

Application of the higher order computational schemes | 69 |

T S Murty | 282 |

A twolayer model | 306 |

Quasigeostrophic models | 313 |

Streamfunction models | 319 |

The Bidston models | 328 |

CHAPTER V | 342 |

The normal mode approach | 349 |

Solutions for lakes and bays with uniform and variable depth | 356 |

CHAPTER III | 105 |

Numerical solution of the system of equations | 113 |

Twodimensional models | 131 |

Numerical filtering | 145 |

Simulation of long wave runup | 154 |

Finitedifferencing of the space derivative | 165 |

Treatment of open boundaries | 173 |

Moving boundary models and inclusion of tidal flats | 190 |

Nested grids and multiple grids | 201 |

CHAPTER IV | 216 |

Threedimensional motion in the shallow seas | 238 |

Threedimensional modeling utilizing the mode splitting | 254 |

General circulation model rigid lid condition | 267 |

Systems with branches | 364 |

Resonance calculation for irregularshaped basins | 371 |

Secondary undulations | 378 |

Helmholtz mode | 384 |

Numerical models for resonance calculations | 393 |

Kelvin waves Sverdrup waves and Poincaré waves | 408 |

STEADY STATE PROCESSES | 414 |

Boundary conditions | 423 |

Direct methods | 435 |

Appendix 1 | 443 |

450 | |

479 | |

### Other editions - View all

Numerical Modeling of Ocean Dynamics Zygmunt Kowalik,Tadepalli Satyanarayana Murty Limited preview - 1993 |

### Common terms and phrases

advective algorithm amplitude applied approach approximation assumed average becomes bottom boundary condition calculated coefficients components computational consider constant constructed continuity coordinate defined denotes density dependent depth derivative described determined developed difference diffusion direction distribution domain eddy energy equal equation equation of motion error explicit expression flow force formula frequency friction function given gives grid grid point horizontal implicit initial integration introduced iterative layer located method mode motion nonlinear normal numerical scheme obtained ocean operator oscillations parameter period phase positive pressure problem represent salinity scale sea level shown shows side similar simple solution solved space stability step stress surface surge taken transport um+1 usually variable velocity vertical wave wind written zero ди др ду дх