Numerical Modeling of Ocean Dynamics

Front Cover
World Scientific, 1993 - Science - 481 pages
While 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
References
450
Subject index
479
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