1# Library to Find Best eBook for Read
Author : Polina Razborova
Release : 2013
Genre : Solitons
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Perturbation of Dispersive Shallow Water Waves by : Polina Razborova
Download or read book Perturbation of Dispersive Shallow Water Waves written by Polina Razborova. This book was released on 2013. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gayaz Khakimzyanov
Release : 2020-09-15
Genre : Mathematics
Kind : eBook
Book Rating : 676/5 ( reviews)
Book Synopsis Dispersive Shallow Water Waves by : Gayaz Khakimzyanov
Download or read book Dispersive Shallow Water Waves written by Gayaz Khakimzyanov. This book was released on 2020-09-15. Available in PDF, EPUB and Kindle. Book excerpt: 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 : National Research Council
Release : 2000-03-02
Genre : Science
Kind : eBook
Book Rating : 372/5 ( reviews)
Book Synopsis Twenty-Second Symposium on Naval Hydrodynamics by : National Research Council
Download or read book Twenty-Second Symposium on Naval Hydrodynamics written by National Research Council. This book was released on 2000-03-02. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
Release : 1997
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Dispersive Water Waves in One and Two Dimensions by :
Download or read book Dispersive Water Waves in One and Two Dimensions written by . This book was released on 1997. Available in PDF, EPUB and Kindle. Book excerpt: This is the final report of a three-year, Laboratory-Directed Research and Development (LDRD) project at the Los Alamos National Laboratory (LANL). We derived and analyzed new shallow water equations for one-dimensional flows near the critical Froude number as well as related integrable systems of evolutionary nonlinear partial differential equations in one spatial dimension, while developing new directions for the mathematics underlying the integrability of these systems. In particular, we applied the spectrum generating equation method to create and study new integrable systems of nonlinear partial differential equations related to our integrable shallow water equations. We also investigated the solutions of these systems of equations on a periodic spatial domain by using methods from the complex algebraic geometry of Riemann surfaces. We developed certain aspects of the required mathematical tools in the course of this investigation, such as inverse scattering with degenerate potentials, asymptotic reduction of the angle representations, geometric singular perturbation theory, modulation theory and singularity tracking for completely integrable equations. We also studied equations that admit weak solutions, i.e., solutions with discontinuous derivatives in the form of comers or cusps, even though they are solutions of integrable models, a property that is often incorrectly assumed to imply smooth solution behavior. In related work, we derived new shallow water equations in two dimensions for an incompressible fluid with a free surface that is moving under the force of gravity. These equations provide an estimate of the long-time asymptotic effects of slowly varying bottom topography and weak hydrostatic imbalance on the vertically averaged horizontal velocity, and they describe the flow regime in which the Froude number is small -- much smaller even than the small aspect ratio of the shallow domain.
Author : Sir M. J. Lighthill
Release : 2001-11-15
Genre : Mathematics
Kind : eBook
Book Rating : 450/5 ( reviews)
Book Synopsis Waves in Fluids by : Sir M. J. Lighthill
Download or read book Waves in Fluids written by Sir M. J. Lighthill. This book was released on 2001-11-15. Available in PDF, EPUB and Kindle. Book excerpt: 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.
