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 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 224 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 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 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 Mathematical Reviews written by and published by . This book was released on 2003 with total page 844 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 Waves in Flows written by Tomáš Bodnár and published by Springer Nature. This book was released on 2021-04-29 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers an overview of the area of waves in fluids and the role they play in the mathematical analysis and numerical simulation of fluid flows. Based on lectures given at the summer school “Waves in Flows”, held in Prague from August 27-31, 2018, chapters are written by renowned experts in their respective fields. Featuring an accessible and flexible presentation, readers will be motivated to broaden their perspectives on the interconnectedness of mathematics and physics. A wide range of topics are presented, working from mathematical modelling to environmental, biomedical, and industrial applications. Specific topics covered include: Equatorial wave–current interactions Water–wave problems Gravity wave propagation Flow–acoustic interactions Waves in Flows will appeal to graduate students and researchers in both mathematics and physics. Because of the applications presented, it will also be of interest to engineers working on environmental and industrial issues.
Download or read book Small amplitude steady water waves with vorticity written by Evgeniy Lokharu and published by Linköping University Electronic Press. This book was released on 2017-01-30 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of describing two-dimensional traveling water waves is considered. The water region is of finite depth and the interface between the region and the air is given by the graph of a function. We assume the flow to be incompressible and neglect the effects of surface tension. However we assume the flow to be rotational so that the vorticity distribution is a given function depending on the values of the stream function of the flow. The presence of vorticity increases the complexity of the problem and also leads to a wider class of solutions. First we study unidirectional waves with vorticity and verify the Benjamin-Lighthill conjecture for flows whose Bernoulli constant is close to the critical one. For this purpose it is shown that every wave, whose slope is bounded by a fixed constant, is either a Stokes or a solitary wave. It is proved that the whole set of these waves is uniquely parametrised (up to translation) by the flow force which varies between its values for the supercritical and subcritical shear flows of constant depth. We also study large-amplitude unidirectional waves for which we prove bounds for the free-surface profile and for Bernoulli’s constant. Second, we consider small-amplitude waves over flows with counter currents. Such flows admit layers, where the fluid flows in different directions. In this case we prove that the initial nonlinear free-boundary problem can be reduced to a finite-dimensional Hamiltonian system with a stable equilibrium point corresponding to a uniform stream. As an application of this result, we prove the existence of non-symmetric wave profiles. Furthermore, using a different method, we prove the existence of periodic waves with an arbitrary number of crests per period.
Download or read book Numerical Study of Wave mean Flow and Wave wave Interactions in Linearly Stratified Fluids written by Ching-Long Lin and published by . This book was released on 1993 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Numerical Study of Upstream Blocking and Internal Waves in a Density Stratified Fluid written by Chang-Yang Li and published by . This book was released on 1978 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 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 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 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 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 Solitary Waves in Compressible Stratified Fluids written by Robert R. Long and published by . This book was released on 1965 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: A solitary wave is found in a stratified, compressible fluid in a uniform gravity field. This wave depends for its existence on the compressibility of the medium no matter how small, although the speed of propagation is of the order of an internal gravity wave. The analytical discussion is carried out most fully for small compressibility. Another case, more appropriate for atmospheric problems, is solved by a numerical approach. (Author).
