منابع مشابه
Traveling Waves in Deep Water with Gravity and Surface Tension
This paper is concerned with the simulation of periodic traveling deep-water freesurface water waves under the influence of gravity and surface tension in two and three dimensions. A variety of techniques is utilized, including the numerical simulation of a weakly nonlinear model, explicit solutions of low-order perturbation theories, and the direct numerical simulation of the full water wave e...
متن کاملModel Equations for Gravity-capillary Waves in Deep Water
The Euler equations for water waves in any depth have been shown to have solitary wave solutions when the effect of surface tension is included. This paper proposes three quadratic model equations for these types of waves in infinite depth with a two-dimensional fluid domain. One model is derived directly from the Euler equations. Two further simpler models are proposed, both having the full gr...
متن کاملLong wavelength bifurcation of gravity waves on deep water
Conditions are found for the appearance of non-uniform progressive waves of permanent form from a long-wave modulation of a finite-amplitude Stokes wave on deep water. The waveheight at which the modulated waves can occur is a very slowly decreasing function of the modulation wavelength for values up to 150 times the original wavelength. Some qualitative remarks are made about the problem of de...
متن کاملSpectral Stability of Deep Two-Dimensional Gravity-Capillary Water Waves
In this contribution we study the spectral stability problem for periodic traveling gravity-capillary waves on a two-dimensional fluid of infinite depth. We use a perturbative approach that computes the spectrum of the linearized water wave operator as an analytic function of the wave amplitude/slope. We extend the highly accurate method of Transformed Field Expansions to address surface tensio...
متن کاملA Comparison of Drogue and GEK Measurements in Deep Water
Two series of current measurements made with GEK and drogues arc shown to agree closely, not only in the averaged results of three days’ data, but in short-period variations about the mean. The variations measured are probably too large to bc the ordinary tide, and the possibility of their being the orbital velocities of internal waves is discussed.
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ژورنال
عنوان ژورنال: Nature
سال: 1924
ISSN: 0028-0836,1476-4687
DOI: 10.1038/114538b0