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Numerical modeling of ocean dynamics / Z. Kowalik, T.S. Murty.

By: Kowalik, Zygmunt.
Contributor(s): Murty, T. S. (Tadepalli Satyanarayana), 1938-.
Material type: materialTypeLabelBookSeries: Advanced series on ocean engineering: v. 5Publisher: Singapore ; River Edge, NJ : World Scientific, ©1993Description: xi, 481 pages : illustrations ; 22 cm.ISBN: 9810213336 (pbk.); 9810213336.Subject(s): OCEANOGRAPHY | MATHEMATICAL MODELS | NUMERICAL MODELLING | OCEAN CIRCULATION | OCEAN CURRENTS | TRANSPORT | CIRCULATION | SEICHES | STEADY STATE | WAVES | NUMERICAL ANALYSISHoldings: GRETA POINT: 551.465:519.87 KOW
Contents:
CHAPTER I: FORMULATION OF THE GENERAL EQUATIONS / Z. Kowalik -- 1. Equations of motion, continuity and diffusion -- 2. Two-dimensional equations -- 3. Application of the stream function -- 4. Viscosity in the turbulent flow -- CHAPTER II: TRANSPORT EQUATIONS / Z. Kowalik -- 1. Mathematical rudiments -- 2. Boundary and initial conditions -- 3. Basic numerical properties -- 4. Explicit versus implicit numerical schemes -- 5. Centered numerical schemes -- 6. Computational errors: diffusion and dispersion -- 7. Computational and physical modes of the numerical solution -- 8. Diffusive processes -- 9. Application of the higher order computational schemes to the advective equation -- CHAPTER III: TWO-DIMENSIONAL NUMERICAL MODELS / Z. Kowalik & T.S. Murty -- 1. Basic problems -- 2. Numerical solution of the system of equations -- 3. Step by step approach to the construction and analysis of simple numerical schemes -- 4. Two-dimensional models -- 5. Numerical filtering -- 6. Grid refinement -- 7. Simulation of long wave run-up -- 8. Finite-differencing of the time derivative -- 9. Finite-differencing of the space derivative -- 10. Treatment of open boundaries -- 11. Treatment of the nonlinear advective terms -- 12. Moving boundary models and inclusion of tidal flats -- 13. Nested grids and multiple grids -- 14. Stretched coordinates and transformed grid systems -- CHAPTER IV: THREE-DIMENSIONAL TIME-DEPENDENT MOTION / Z. Kowalik & T.S. Murty -- 1. Introduction -- 2. Numerical modeling of the fjord circulation -- 3. Three-dimensional motion in the shallow seas -- 4. Three-dimensional modeling utilizing the mode splitting and sigma coordinate -- 5. General circulation model: rigid lid condition -- 6. A three-dimensional semi-implicit model -- 7. A two-layer model -- 8. Mode splitting and reduced gravity model -- 9. Quasi-geostrophic models -- 10. Streamfunction models -- 11. The Bidston models -- 12. Haidvogel et al’s model -- CHAPTER V: NORMAL MODES / T.S. Murty -- 1. Introduction -- 2. Seiches -- 3. The normal mode approach -- 4. Solutions for lakes and bays with uniform and variable depth -- 5. Systems with branches -- 6. Resonance calculation for irregular-shaped basins -- 7. Secondary undulations -- 8. Helmholtz mode -- 9. Open boundary conditions -- 10. Numerical models for resonance calculations -- 11. Kelvin waves, Sverdrup waves, and Poincaré waves -- 12. Influence of ice cover on normal modes -- CHAPTER VI: STEADY STATE PROCESSES / Z. Kowalik -- 1. Oceanographic examples -- 2. Numerical approximation -- 3. Boundary conditions -- 4. Numerical methods -- 5. Direct methods -- 6. Higher order accuracy schemes for convection-dominated flow -- APPENDIX 1 -- 1. Line inversion (factorization) method -- 2. FORTRAN program for the line inversion algorithm -- References -- Subject index.
Summary: The aim of this book is two-fold: it gives an introduction to the application of finite-difference methods to ocean dynamics, and it also reviews more complex methods. Instead of covering the vast field of Ocean Dynamics, this book focuses 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.
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Holdings
Item type Current library Call number Copy number Status Date due Barcode
BOOK BOOK WELLINGTON BOOKS 551.465:519.87 KOW 1 Available B021341

Series editor-in-chief Philip L-F. Liu

Includes bibliographical references (pages 450-478) and index.

CHAPTER I: FORMULATION OF THE GENERAL EQUATIONS / Z. Kowalik -- 1. Equations of motion, continuity and diffusion -- 2. Two-dimensional equations -- 3. Application of the stream function -- 4. Viscosity in the turbulent flow -- CHAPTER II: TRANSPORT EQUATIONS / Z. Kowalik -- 1. Mathematical rudiments -- 2. Boundary and initial conditions -- 3. Basic numerical properties -- 4. Explicit versus implicit numerical schemes -- 5. Centered numerical schemes -- 6. Computational errors: diffusion and dispersion -- 7. Computational and physical modes of the numerical solution -- 8. Diffusive processes -- 9. Application of the higher order computational schemes to the advective equation -- CHAPTER III: TWO-DIMENSIONAL NUMERICAL MODELS / Z. Kowalik & T.S. Murty -- 1. Basic problems -- 2. Numerical solution of the system of equations -- 3. Step by step approach to the construction and analysis of simple numerical schemes -- 4. Two-dimensional models -- 5. Numerical filtering -- 6. Grid refinement -- 7. Simulation of long wave run-up -- 8. Finite-differencing of the time derivative -- 9. Finite-differencing of the space derivative -- 10. Treatment of open boundaries -- 11. Treatment of the nonlinear advective terms -- 12. Moving boundary models and inclusion of tidal flats -- 13. Nested grids and multiple grids -- 14. Stretched coordinates and transformed grid systems -- CHAPTER IV: THREE-DIMENSIONAL TIME-DEPENDENT MOTION / Z. Kowalik & T.S. Murty -- 1. Introduction -- 2. Numerical modeling of the fjord circulation -- 3. Three-dimensional motion in the shallow seas -- 4. Three-dimensional modeling utilizing the mode splitting and sigma coordinate -- 5. General circulation model: rigid lid condition -- 6. A three-dimensional semi-implicit model -- 7. A two-layer model -- 8. Mode splitting and reduced gravity model -- 9. Quasi-geostrophic models -- 10. Streamfunction models -- 11. The Bidston models -- 12. Haidvogel et al’s model -- CHAPTER V: NORMAL MODES / T.S. Murty -- 1. Introduction -- 2. Seiches -- 3. The normal mode approach -- 4. Solutions for lakes and bays with uniform and variable depth -- 5. Systems with branches -- 6. Resonance calculation for irregular-shaped basins -- 7. Secondary undulations -- 8. Helmholtz mode -- 9. Open boundary conditions -- 10. Numerical models for resonance calculations -- 11. Kelvin waves, Sverdrup waves, and Poincaré waves -- 12. Influence of ice cover on normal modes -- CHAPTER VI: STEADY STATE PROCESSES / Z. Kowalik -- 1. Oceanographic examples -- 2. Numerical approximation -- 3. Boundary conditions -- 4. Numerical methods -- 5. Direct methods -- 6. Higher order accuracy schemes for convection-dominated flow -- APPENDIX 1 -- 1. Line inversion (factorization) method -- 2. FORTRAN program for the line inversion algorithm -- References -- Subject index.

The aim of this book is two-fold: it gives an introduction to the application of finite-difference methods to ocean dynamics, and it also reviews more complex methods. Instead of covering the vast field of Ocean Dynamics, this book focuses 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.

GRETA POINT: 551.465:519.87 KOW

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