Numerical Modelling of Marine Hydrodynamics
Published on 14. May 2014
381 pages
978-0-08-087063-2 (ISBN)
Description
Numerical Modelling of Marine Hydrodynamics
More details
Series
Language
English
Place of publication
San Diego
Netherlands
Product notice
Windows
ISBN-13
978-0-08-087063-2 (9780080870632)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
H.-G. Ramming | Z. Kowalik
Numerical Modelling of Marine Hydrodynamics: Volume 26
Book
04/2000
Elsevier
€235.22
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Content
- Front Cover
- Numerical Modelling of Marine Hydrodynamics: Applications to Dynamic Physical Processes
- Copyright Page
- Contents
- Preface
- Chapter I. General Equations
- 1. The hydrodynamic differential equations of motion and continuity
- 2. The mass transport and free surface equations
- 3. One-dimensional motion
- 4. Frictional forces at the surface and the bottom
- Chapter II. Steady motion - numerical methods
- 1. Numerical approximation of steady phenomena
- 2. Convergence and choice of grid step
- 3. Boundary conditions
- 4. Some general properties of the differential operators
- 5. Numerical methods of solution of partial differential equations of steady state
- 6. Simple iteration method
- 7. Gauss-Seidel method
- 8. Line inversion method
- 9. Application of line inversion in the alternating- direction method
- Chapter III. Steady motion - oceanographical examples
- 1. Motion in channels - analytical solution
- 2. Wind-driven currents in a shallow sea
- 3. Ekman equations
- 4. The mass transport and stream function equations
- 5. Solution of the Dirichlet problem for elliptical equations in the multiply-connected domain
- 6. Determination of eddy viscosity
- 7. Some simplified models
- 8. Steady wind-driven circulation in the Baltic Sea
- 9 . The influence of density stratification on the vertical distribution of current
- 10. The wind- and density-driven currents
- 11. Different methods to estimate the exchange of momentum in the Ekman layer
- 12. Dimensional analysis
- 13. Constant eddy viscosity
- 14. A statistical method based on the equation of turbulent energy b2 and the scale length 1
- 15. Shallow, horizontally unbounded sea
- 16. Two-layer model
- 17. A statistical method based on the equations of energy and dissipation
- 18. Influence of the density stratification
- Chapter IV. Unsteady motion - numerical methods
- 1. Principal equations and their difference form
- 2. Stability of the numerical solution
- 3. Stability of a system of equations
- 4. Wave deformation
- 5. Physical and numerical solutions
- 6. Nonlinear equations
- 7. Numerical filtering in time and space
- 8. Boundary and initial conditions
- 9. The explicit numerical scheme
- 10. An implicit numerical scheme
- 11. Computational example to compare explicit and implicit properties
- 12. A numerical system with mixed explicit-implicit properties
- 13. Steady state processes from a point of view of numerical methods used for solving an unsteady problem
- Chapter V. Numerical treatment of tides
- 1. Introduction
- 2. A system of equations for the study of the tides
- 3. The boundary-value problem
- 4. The hydrodynamic-numerical method
- 5. Calculating the M2-tide in the Arctic Ocean - an example
- 6. The results of the computation of the tides in the Arctic Ocean
- 7. The energy balance equation
- 8. Numerical models to study the vertical distri-bution of velocity in the tide waves
- 9. A treatment of the boundary layer in the tide wave
- Chapter VI. Models of shallow coastal areas and tidal rivers
- 1. Some remarks on one-dimensional models
- 2. River models
- 3. A one-dimensional treatment of river flow: the multi-channel system
- 4. A two-dimensional model of the River Elbe covering the area between Seemannshöft and Cuxhaven
- 5. Approximation of the coast-line
- 6. Modelling the flooding and uncovering of tidal flats
- 7. A special treatment of the bottom friction in extremely shallow waters
- 8. Residual currents
- 9. The application of the grid refinement and the irregular grid
- 10. Some results and conclusions derived from the nested model of the North Sea
- 11. Some examples of the application of hydrodynamic- numerical models on coastal engineering
- Chapter VII. The application of the transport equations
- 1. Basic concepts
- 2. Two-dimensional turbulent diffusion
- 3. Numerical methods of solving the transport equation
- 4. The application of the transport equation in a multi-channel model
- 5. A comparison between an analytical and a numerical solution
- 6. The turbidity zone of the River Elbe
- 7. The transport of pollutants
- Chapter VIII. Periodic motion
- 1. Introduction
- 2. The general properties of eigenvalues
- 3. Eigenvalues in two-dimensional oscillations: The construction of a symmetrical matrix
- 4. Galerkin's method and its application to the problem of eigenvalues and eigenvectors
- 5. A method of resonance iterations
- 6. A method of computing the longest period of free oscillation
- 7. A method of computing a set of eigenperiods
- 8. The influence of friction and small variations of frequency
- 9. Numerical schemes describing frictionless motion
- List of Figures
- Subject Index
