منابع مشابه
Waves Trapped by Submerged Obstacles at High Frequencies
As is well known, submerged horizontal cylinders can serve as waveguides for surface water waves. For large values of the wavenumber k in the direction of the cylinders, there is only one trapped wave. We construct asymptotics of these trapped modes and their frequencies as k→∞ in the case of one or two submerged cylinders by means of reducing the initial problem to a system of integral equatio...
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In this paper trapped modes are shown to exist for a pair of bodies which are submerged in deep water. An inverse procedure is used whereby a flow which represents a local oscillation is constructed and closed streamlines which surround the singularities of the flow are interpreted as body boundaries. The velocity potential for the flow is constructed from a symmetric combination of horizontal ...
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Herein, an efficient numerical method is presented to describe the flow of a liquid in an open channel with various types of bottom configurations. The method is developed for steady two-dimensional potential free surface flows. The resulting nonlinear problem is solved numerically by boundary integral equation methods. In addition weakly nonlinear solutions are derived. New solutions which com...
متن کاملOn the non-existence of surface waves trapped by submerged obstructions having exterior cusp points
Trapped modes, i.e. localized unforced oscillations of fluid in presence of floating structures and bottom topography, have been a topic of considerable interest over many years and substantial effort has been put, for a variety of different geometries, into finding the solutions and conditions of their existence or non-existence. However, the class of geometries having cusp points has been avo...
متن کاملLarge spin relaxation rates in trapped submerged-shell atoms
Colin B. Connolly,1,3 Yat Shan Au,1,3 S. Charles Doret,1,3 Wolfgang Ketterle,2,3 and John M. Doyle1,3 1Department of Physics, Harvard University, 17 Oxford Street, Cambridge, Massachusetts 02138, USA 2Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA 3Harvard-MIT Center for Ultracold Atoms, Cambridge, Massachusetts 02138, USA (Received 20 August 2...
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ژورنال
عنوان ژورنال: Journal of Fluid Mechanics
سال: 2004
ISSN: 0022-1120,1469-7645
DOI: 10.1017/s0022112004009127