Download or read book The Turbulent Dissipation of Internal Solitary Waves in a Continuously Stratified Fluid of Finite Depth written by Patrick George Timko and published by . This book was released on 1995 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Solitary Waves in Fluids written by R. Grimshaw and published by WIT Press. This book was released on 2007 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Edited by R.H.J. Grimshaw, this book covers the topic of solitary waves in fluids.
Download or read book Existence of Solitary Internal Waves in a Two Layer Fluid of Infinite Height written by and published by . This book was released on 1995 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper concerns the existence of internal solitary waves moving with a constant speed at the interface of a two-layer fluid with infinite height. The fluids are immiscible, inviscid, and incompressible with constant but different densities. Assume that the height of the upper fluid is infinite and the depth of the lower fluid is finite. It has been formally derived before that under long-wave assumption the first-order approximation of the interface satisfies the Benjamin-Ono equation, which has algebraic solitary-wave solutions. This paper gives a rigorous proof of the existence of solitary-wave solutions of the exact equations governing the fluid motion, whose first-order approximations are the algebraic solitary-wave solutions of the Benjamin-Ono equation. The proof relies on estimates of integral operators using Fourier transforms in L2(R)- space and is different from the previous existence proof of solitary waves in a two-layer fluid with finite depth.
Download or read book A Numerical Study of Conjugate Flows and Flat centred Internal Solitary Waves in a Continuously Stratified Fluid written by and published by . This book was released on 1997 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Masters Abstracts International written by and published by . This book was released on 1996 with total page 1000 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Numerical Study of Conjugate Flows and Flat centred Internal Solitary Waves in an Continuously Stratified Fluid written by Bangjun Wan and published by . This book was released on 1997 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Problems on Waves in Stratified Fluids written by Liliane de Almeida Maia and published by . This book was released on 1992 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Total Positivity and the Stability of Internal Waves in Stratified Fluids of Finite Depth written by University of Minnesota. Institute for Mathematics and Its Applications and published by . This book was released on 1989 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Internal Gravity Waves written by Bruce R. Sutherland and published by Cambridge University Press. This book was released on 2010-09-02 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of internal gravity waves provides many challenges: they move along interfaces as well as in fully three-dimensional space, at relatively fast temporal and small spatial scales, making them difficult to observe and resolve in weather and climate models. Solving the equations describing their evolution poses various mathematical challenges associated with singular boundary value problems and large amplitude dynamics. This book provides the first comprehensive treatment of the theory for small and large amplitude internal gravity waves. Over 120 schematics, numerical simulations and laboratory images illustrate the theory and mathematical techniques, and 130 exercises enable the reader to apply their understanding of the theory. This is an invaluable single resource for academic researchers and graduate students studying the motion of waves within the atmosphere and ocean, and also mathematicians, physicists and engineers interested in the properties of propagating, growing and breaking waves.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1985 with total page 1052 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Implementing Spectral Methods for Partial Differential Equations written by David A. Kopriva and published by Springer Science & Business Media. This book was released on 2009-05-27 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains how to solve partial differential equations numerically using single and multidomain spectral methods. It shows how only a few fundamental algorithms form the building blocks of any spectral code, even for problems with complex geometries.
Download or read book A Global Theory of Internal Solitary Waves in Two Fluid Systems written by C. J. Amick and published by . This book was released on 1985 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of single-crested progressing gravity waves was initiated over a century ago with the observations by Russell of what he termed solitary waves, which progressed without change of form over a considerable distance on the Glasgow-Edinburgh Canal. The mathematical analysis of this wave motion on the surface of water, begun in the nineteenth century, has undergone a rapid development in the last three decades, due to the scattering theory for the Korteweg-de Vries equation, which models the motion of long waves due to the development of techniques in nonlinear analysis allowing for the analysis of finite amplitude motions. The work on surfce waves has many parallels in the study of waves in fluids with variable density. In the case of a heterogeneous fluid with a free upper surface, gravity waves still occur, in analogy with surface waves in a fluid of constant density. What is distinctive about a fluid with density stratification, however, is the presence of waves which are predominantly due to the stratification and not to the free surface. These waves, called internal waves, exist in a heterogeneous fluid even when it is confined between horizontal boundaries, a configuration which precludes gravity waves in a fluid of constant density. This paper is concerned with progressing solitary gravity waves in a system consisting of two fluids of differing densities confined in a channel of unit depth and infinite horizontal extent.
Download or read book On the Breaking and Broadening of Internal Solitary Waves Propagating in Stratified Fluid written by J. Grue and published by . This book was released on 1999 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Instability analysis of internal solitary waves in a nearly uniformly stratified fluid written by and published by . This book was released on 1997 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Solitary Waves at the Interface Between Two Fluids and Related Surface Flows written by Hu-Yun Sha and published by . This book was released on 1995 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Finite Amplitude Steady Waves in Stratified Fluids written by J. L. Bona and published by . This book was released on 1982 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exact theory regarding solitary internal gravity waves in stratified fluids is presented. Two-dimensional, inviscid, incompressible flows confined between plane horizontal rigid boundaries are considered. Variational techniques are used to demonstrate that the Euler equations possess solutions that represent progressing waves of permanent form. These are analogous to the surface, solitary waves so easily generated in a flume. Periodic wave trains of permanent form, the analogue of the classical cnoidal waves, are also found. Moreover, internal solitary-wave solutions are shown to arise as the limit of cnoidal wave trains as the period length grows unboundedly. (Author).
Download or read book Numerical Computation of Large Amplitude Internal Solitary Waves written by Tony F. C. Chan and published by . This book was released on 1981 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite amplitude internal solitary waves in a stratified fluid are computed numerically as solutions to a version of Long's equation. Newton's method is used to linearize the two dimensional nonlinear elliptic equation and numerical continuation techniques, both using the wave speed and a pseudo-arclength parameter, are used to trace out solution branches efficiently. Numerical results for the 'tanh' density profile are presented for various depths of the fluid. For shallow depths, solutions for a fixed wave speed are not unique and bore-like solutions with large amplitude have been found. In the deep water case, excellent agreement is obtained with the experimental data of Davis and Acrivos whereas traditional weakly nonlinear analysis fails to produce agreement in the large amplitude regime.
