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  2. Green's law - Wikipedia

    en.wikipedia.org/wiki/Green's_law

    Propagation of shoaling long waves, showing the variation of wavelength and wave height with decreasing water depth.. In fluid dynamics, Green's law, named for 19th-century British mathematician George Green, is a conservation law describing the evolution of non-breaking, surface gravity waves propagating in shallow water of gradually varying depth and width.

  3. Dispersion (water waves) - Wikipedia

    en.wikipedia.org/wiki/Dispersion_(water_waves)

    Using another normalization for the same frequency dispersion relation, the figure on the right shows that for a fixed wavelength λ the phase speed c p increases with increasing water depth. [1] Until, in deep water with water depth h larger than half the wavelength λ (so for h/λ > 0.5), the phase velocity c p is independent of the water ...

  4. Airy wave theory - Wikipedia

    en.wikipedia.org/wiki/Airy_wave_theory

    Water depth is classified into three regimes: [8] Visualization of deep and shallow water waves by relating wavelength to depth to bed. deep water – for a water depth larger than half the wavelength, h > ⁠ 1 / 2 ⁠ λ, the phase speed of the waves is hardly influenced by depth (this is the case for most wind waves on the sea and ocean ...

  5. Wave shoaling - Wikipedia

    en.wikipedia.org/wiki/Wave_shoaling

    The phase velocity c p (blue) and group velocity c g (red) as a function of water depth h for surface gravity waves of constant frequency, according to Airy wave theory. Quantities have been made dimensionless using the gravitational acceleration g and period T, with the deep-water wavelength given by L 0 = gT 2 /(2π) and the deep-water phase ...

  6. Gravity wave - Wikipedia

    en.wikipedia.org/wiki/Gravity_wave

    Gravity waves on an air–sea interface of the ocean are called surface gravity waves (a type of surface wave), while gravity waves that are within the body of the water (such as between parts of different densities) are called internal waves. Wind-generated waves on the water surface are examples of gravity waves, as are tsunamis, ocean tides ...

  7. Shallow water equations - Wikipedia

    en.wikipedia.org/wiki/Shallow_water_equations

    Shallow-water equations can be used to model Rossby and Kelvin waves in the atmosphere, rivers, lakes and oceans as well as gravity waves in a smaller domain (e.g. surface waves in a bath). In order for shallow-water equations to be valid, the wavelength of the phenomenon they are supposed to model has to be much larger than the depth of the ...

  8. Swell (ocean) - Wikipedia

    en.wikipedia.org/wiki/Swell_(ocean)

    Breaking swell waves at Hermosa Beach, California. A swell, also sometimes referred to as ground swell, in the context of an ocean, sea or lake, is a series of mechanical waves that propagate along the interface between water and air under the predominating influence of gravity, and thus are often referred to as surface gravity waves.

  9. Trochoidal wave - Wikipedia

    en.wikipedia.org/wiki/Trochoidal_wave

    In computer graphics, the rendering of realistic-looking ocean waves can be done by use of so-called Gerstner waves. This is a multi-component and multi-directional extension of the traditional Gerstner wave, often using fast Fourier transforms to make (real-time) animation feasible.