Nonlinear interactions among standing surface and internal gravity waves
نویسندگان
چکیده
منابع مشابه
Nonlinear Dynamics of Hydrostatic Internal Gravity Waves
Stratified hydrostatic fluids have linear internal gravity waves with different phase speeds and vertical profiles. Here a simplified set of partial differential equations (PDE) is derived to represent the nonlinear dynamics of waves with different vertical profiles. The equations are derived by projecting the full nonlinear equations onto the vertical modes of two gravity waves, and the result...
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The propagation of long, weakly nonlinear internal waves in a stratified gas is studied. Hydrodynamic equations for an ideal fluid with the perfect gas law describe the atmospheric gas behaviour. If we neglect the term ρ dw/dt (product of the density and vertical acceleration), we come to a so-called quasistatic model, while we name the full hydrodynamic model as a nonquasistatic one. Both quas...
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Ocean waves move due to gravity: the water at crests is heavier than the air surrounding it and so it falls, overshoots its equilibrium position and then at a trough feels an upward restoring force. The same phenomena occurs below the ocean surface. Cold water lifted upward into warmer surroundings will feel a downward buoyancy force and downwarddisplaced warm water will feel an upward buoyancy...
متن کاملSelection rules for the nonlinear interaction of internal gravity waves.
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 beams outgoing from the point of intersect...
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A vortex sheet formulation of irrotational, incompressible Euler flow is used to compute periodic traveling waves at the interface between two constant-density, two-dimensional fluids, including waves with overturned crests. Branches of traveling waves are computed via numerical continuation, which are jointly continuous in the physical parameters: Bond number, Atwood number and mean shear. Glo...
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ژورنال
عنوان ژورنال: Journal of Fluid Mechanics
سال: 1974
ISSN: 0022-1120,1469-7645
DOI: 10.1017/s0022112074002205