Results 251 to 260 of about 165,194 (285)

Internal waves in a two‐layer system using fully nonlinear internal‐wave equations

International Journal for Numerical Methods in Fluids, 2009
AbstractIn order to understand the nonlinear effect in a two‐layer system, fully nonlinear strongly dispersive internal‐wave equations, based on a variational principle, were proposed in this study. A simple iteration method was used to solve the internal‐wave equations in order to solve the equations stably. The applicability of the proposed numerical
Nakayama, K., Kakinuma, T.
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Nonlinear Internal Damping of Wave Equations with Variable Coefficients

Acta Mathematica Sinica, English Series, 2004
The authors consider the boundary stabilization problem of wave equations with variable coefficients in a bounded domain \(\Omega \subset \mathbb{R}^n\) with a boundary \(\Gamma\) posessing some suitable smoothness conditions: \[ u_{tt}-\sum_{i,j=1}^n \frac{\partial u}{\partial x_i} \left( a_{ij}(x) \frac{\partial u}{\partial x_j}\right)+\chi_G(x) f ...
Feng, Shaoji, Feng, Dexing
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Selection Rules for the Nonlinear Interaction of Internal Gravity Waves

Physical Review Letters, 2009
Two intersecting beams of internal gravity waves will generically create two wave packets by nonlinear interaction. The frequency of one packet will be the sum and that of the other packet will be the difference of the frequencies of the intersecting beams. In principle, each packet should form an "X" pattern, or "St. Andrew's cross" consisting of four
Chung-Hsiang, Jiang, Philip S, Marcus
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Long Weakly Nonlinear Internal Waves

2001
In this chapter we study trivial nonlinear effects appearing while long internal waves propagate. There may be two situations and each of them needs its own analysis. The first is the propagation of internal waves in shallow water (e.g., in a shallow sea like the Baltic Sea) when the wavelength λ considerably exceeds the sea’s depth H.
Yu. Z. Miropol’sky, O. D. Shishkina
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NONLINEAR ASYMPTOTICS FOR HYPERBOLIC INTERNAL WAVES OF SMALL WIDTH

Journal of Hyperbolic Differential Equations, 2006
Semilinear hyperbolic problems with source terms piecewise smooth and discontinuous across characteristic surfaces yield similarly piecewise smooth solutions. If the discontinuous source is replaced with a smooth transition layer, the discontinuity of the solution is replaced by a smooth internal layer.
Gues, Olivier, Rauch, Jeffrey
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Numerical Simulation of a Weakly Nonlinear Model for Internal Waves

Communications in Computational Physics, 2012
Abstract Internal waves arise in a wide array of oceanographic problems of both theoretical and engineering interest. In this contribution we present a new model, valid in the weakly nonlinear regime, for the propagation of disturbances along the interface between two ideal fluid layers of infinite extent and different densities.
Gregory, Robyn Canning, Nicholls, David P.   +1 more
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Nonlinear surface and internal waves in stratified shear flow

Geophysical & Astrophysical Fluid Dynamics, 1990
Abstract The propagation of solitary waves in a two-layer fluid with shear is studied in the long-wave shallow-water approximation. We show that, to the first order in the perturbation, the wave motion is described by the Korteweg-de Vries equation, whose coefficients now depend on the shear present.
ARTALE V, LEVI, Decio
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Nonlinear internal waves on the California continental shelf

Journal of Geophysical Research: Oceans, 1985
A series of intermittent interval wave events were observed at a single site in 133 m of water on the northern California continental shelf during the Coastal Ocean Dynamics Experiment 1981. Simultaneous time‐series observations of temperature and conductivity were used to infer isotherm and isopycnal depths which were combined with current ...
Thomas L. Howell, Wendell S. Brown
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Nonlinear internal waves in ideal rotating basins

Geophysical & Astrophysical Fluid Dynamics, 1994
Abstract Starting from Euler's equations of motion a nonlinear model for internal waves in fluids is developed by an appropriate scaling and a vertical integration over two layers of different but constant density. The model allows the barotropic and the first baroclinic mode to be calculated. In addition to the nonlinear advective terms dispersion and
Georg Bauer, Stefan Diebels, Kolumban Hutter   +2 more
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Exact Nonlinear Internal Equatorial Waves in the f-plane

Journal of Mathematical Fluid Mechanics, 2016
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