An Introduction to Hydrodynamics and Water Waves: Fundamentals.-v. 2. Water wave theories PDF Download

Author: Bernard LeMéhauté
Publisher:
ISBN:
Category : Hydrodynamics
Languages : en
Pages : 544

View

Book Description

Author: Bernard LeMéhauté
Publisher:
ISBN:
Category : Hydrodynamics
Languages : en
Pages : 0

View

Book Description

Author: U.S. Dept. of Commerce. Environmental Science Services Administration. Research Laboratories
Publisher:
ISBN:
Category :
Languages : en
Pages :

View

Book Description

Author: Bernard LeMéhauté
Publisher:
ISBN:
Category : Hydrodynamics
Languages : en
Pages : 246

View

Book Description

Author: Bernard Le Méhauté
Publisher:
ISBN:
Category :
Languages : en
Pages :

View

Book Description

Author: Bernard Le Mehaute
Publisher: Springer Science & Business Media
ISBN: 3642855679
Category : Science
Languages : en
Pages : 326

View

Book Description

Author: A.J. Hermans
Publisher: Springer Science & Business Media
ISBN: 9400700962
Category : Technology & Engineering
Languages : en
Pages : 177

View

Book Description
In this book an introduction is given to aspects of water waves that play a role in ship hydrodynamics and offshore engineering. At first the equations and linearized boundary conditions are derived describing the non-viscous free surface water waves, with special attention to the combination of steady and non-steady flow fields. Then some simple kinds of free wave solutions are derived, such as plane waves and cylindrical waves. For several situations, steady and unsteady, the source singularity function is derived. These functions play a role in numerical codes used to describe the motion of ships and offshore structures. These codes are mostly based on a boundary integral formulation; therefore we give an introduction to these methods. It is shown how first order ship motions can be determined. In offshore engineering the second order wave drift motions play an important role. An introduction to this phenomenon is given and the effects which have to be taken into account are explained by means of a simple example where we can determine nearly all the aspects analytically. An interesting example that is worked out is the motion of very large floating flexible platforms with finite draft. Finally an introduction to the theory of shallow water non-linear dispersive waves is presented, and shallow water ship hydrodynamics, that plays a role in coastal areas and channels is treated. Here attention is paid to the interaction between passing ships in restricted water. In the appendix a short introduction to some of the mathematical tools is given.

Author: United States. Department of the Interior. Library
Publisher:
ISBN:
Category : Library catalogs
Languages : en
Pages : 734

View

Book Description

Author: James Johnston Stoker
Publisher: Courier Dover Publications
ISBN: 0486832996
Category : Science
Languages : en
Pages : 593

View

Book Description
First published in 1957, this is a classic monograph in the area of applied mathematics. It offers a connected account of the mathematical theory of wave motion in a liquid with a free surface and subjected to gravitational and other forces, together with applications to a wide variety of concrete physical problems. A never-surpassed text, it remains of permanent value to a wide range of scientists and engineers concerned with problems in fluid mechanics. The four-part treatment begins with a presentation of the derivation of the basic hydrodynamic theory for non-viscous incompressible fluids and a description of the two principal approximate theories that form the basis for the rest of the book. The second section centers on the approximate theory that results from small-amplitude wave motions. A consideration of problems involving waves in shallow water follows, and the text concludes with a selection of problems solved in terms of the exact theory. Despite the diversity of its topics, this text offers a unified, readable, and largely self-contained treatment.

Author: Thomas J. Bridges
Publisher: Cambridge University Press
ISBN: 1316558940
Category : Science
Languages : en
Pages : 299

View

Book Description
In the summer of 2014 leading experts in the theory of water waves gathered at the Newton Institute for Mathematical Sciences in Cambridge for four weeks of research interaction. A cross-section of those experts was invited to give introductory-level talks on active topics. This book is a compilation of those talks and illustrates the diversity, intensity, and progress of current research in this area. The key themes that emerge are numerical methods for analysis, stability and simulation of water waves, transform methods, rigorous analysis of model equations, three-dimensionality of water waves, variational principles, shallow water hydrodynamics, the role of deterministic and random bottom topography, and modulation equations. This book is an ideal introduction for PhD students and researchers looking for a research project. It may also be used as a supplementary text for advanced courses in mathematics or fluid dynamics.