Dispersive Shallow Water Waves PDF Download
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Author | : Gayaz Khakimzyanov |
Publisher | : Springer Nature |
Total Pages | : 296 |
Release | : 2020-09-15 |
Genre | : Mathematics |
ISBN | : 3030462676 |
Download Dispersive Shallow Water Waves Book in PDF, ePub and Kindle
This monograph presents cutting-edge research on dispersive wave modelling, and the numerical methods used to simulate the propagation and generation of long surface water waves. Including both an overview of existing dispersive models, as well as recent breakthroughs, the authors maintain an ideal balance between theory and applications. From modelling tsunami waves to smaller scale coastal processes, this book will be an indispensable resource for those looking to be brought up-to-date in this active area of scientific research. Beginning with an introduction to various dispersive long wave models on the flat space, the authors establish a foundation on which readers can confidently approach more advanced mathematical models and numerical techniques. The first two chapters of the book cover modelling and numerical simulation over globally flat spaces, including adaptive moving grid methods along with the operator splitting approach, which was historically proposed at the Institute of Computational Technologies at Novosibirsk. Later chapters build on this to explore high-end mathematical modelling of the fluid flow over deformed and rotating spheres using the operator splitting approach. The appendices that follow further elaborate by providing valuable insight into long wave models based on the potential flow assumption, and modified intermediate weakly nonlinear weakly dispersive equations. Dispersive Shallow Water Waves will be a valuable resource for researchers studying theoretical or applied oceanography, nonlinear waves as well as those more broadly interested in free surface flow dynamics.
Author | : Polina Razborova |
Publisher | : |
Total Pages | : 26 |
Release | : 2013 |
Genre | : Solitons |
ISBN | : |
Download Perturbation of Dispersive Shallow Water Waves Book in PDF, ePub and Kindle
Author | : National Research Council |
Publisher | : National Academies Press |
Total Pages | : 1039 |
Release | : 2000-03-02 |
Genre | : Science |
ISBN | : 0309065372 |
Download Twenty-Second Symposium on Naval Hydrodynamics Book in PDF, ePub and Kindle
The Twenty-Second Symposium on Naval Hydrodynamics was held in Washington, D.C., from August 9-14, 1998. It coincided with the 100th anniversary of the David Taylor Model Basin. This international symposium was organized jointly by the Office of Naval Research (Mechanics and Energy Conversion S&T Division), the National Research Council (Naval Studies Board), and the Naval Surface Warfare Center, Carderock Division (David Taylor Model Basin). This biennial symposium promotes the technical exchange of naval research developments of common interest to all the countries of the world. The forum encourages both formal and informal discussion of the presented papers, and the occasion provides an opportunity for direct communication between international peers.
Author | : Sir M. J. Lighthill |
Publisher | : Cambridge University Press |
Total Pages | : 528 |
Release | : 2001-11-15 |
Genre | : Mathematics |
ISBN | : 9780521010450 |
Download Waves in Fluids Book in PDF, ePub and Kindle
A comprehensive textbook in which the author describes the science of waves in liquids and gases. Drawing on a subject of enormous extent and variety, he provides his readers with a thorough analysis of the most important and representative types of waves including sound waves, shock waves, waterwaves of all kinds, and the so-called internal waves (inside atmospheres and oceans) due to intensity stratification. Emphasis throughout is on the most generally useful fundamental ideas of wave science, including the principles of how waves interact with flows. This standard work on one of the great subdivisions of the dynamics of fluids is lucidly written and will be invaluable to engineers, physicists, geophysicists, applied mathematicians or any research worker concerned with wave motions or fluid fllows. It is especially suitable as a textbook for courses at the final year undergraduate or graduate level.
Author | : David Lannes |
Publisher | : American Mathematical Soc. |
Total Pages | : 347 |
Release | : 2013-05-08 |
Genre | : Mathematics |
ISBN | : 0821894706 |
Download The Water Waves Problem Book in PDF, ePub and Kindle
This monograph provides a comprehensive and self-contained study on the theory of water waves equations, a research area that has been very active in recent years. The vast literature devoted to the study of water waves offers numerous asymptotic models.
Author | : Malcolm Henry McConnell |
Publisher | : |
Total Pages | : 120 |
Release | : 1972 |
Genre | : Wave-motion, Theory of |
ISBN | : |
Download Non-linear Dispersive Waves in Shallow Water Book in PDF, ePub and Kindle
Author | : Thierry Dauxois |
Publisher | : Cambridge University Press |
Total Pages | : 435 |
Release | : 2006-03-09 |
Genre | : Mathematics |
ISBN | : 0521854210 |
Download Physics of Solitons Book in PDF, ePub and Kindle
This textbook gives an instructive view of solitons and their applications for advanced students of physics.
Author | : Robert A. Meyers |
Publisher | : Springer Science & Business Media |
Total Pages | : 1885 |
Release | : 2011-10-05 |
Genre | : Mathematics |
ISBN | : 1461418054 |
Download Mathematics of Complexity and Dynamical Systems Book in PDF, ePub and Kindle
Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.
Author | : Gordon David Crapper |
Publisher | : |
Total Pages | : 232 |
Release | : 1984 |
Genre | : Water waves |
ISBN | : |
Download Introduction to Water Waves Book in PDF, ePub and Kindle
Author | : Achim Feldmeier |
Publisher | : Springer Nature |
Total Pages | : 580 |
Release | : 2020-03-17 |
Genre | : Science |
ISBN | : 3030310221 |
Download Theoretical Fluid Dynamics Book in PDF, ePub and Kindle
This textbook gives an introduction to fluid dynamics based on flows for which analytical solutions exist, like individual vortices, vortex streets, vortex sheets, accretions disks, wakes, jets, cavities, shallow water waves, bores, tides, linear and non-linear free-surface waves, capillary waves, internal gravity waves and shocks. Advanced mathematical techniques ("calculus") are introduced and applied to obtain these solutions, mostly from complex function theory (Schwarz-Christoffel theorem and Wiener-Hopf technique), exterior calculus, singularity theory, asymptotic analysis, the theory of linear and nonlinear integral equations and the theory of characteristics. Many of the derivations, so far contained only in research journals, are made available here to a wider public.