The bottom of the layer is supposed to be the interface with another fluid: this fluid can be, for example, a medium with water-saturated sand and with a thickness large compared with the wavelength. Generally speaking, the sound speed in this fluid is greater than the sound speed in the...
9 RegisterLog in Sign up with one click: Facebook Twitter Google Share on Facebook shallow-water wave [′shal·ō ¦wȯd·ər ‚wāv] (hydrology) A progressive gravity wave in water whose depth is much less than the wavelength. ...
Summary: The Euler's equations describing the dynamics of capillary-gravity water waves in two-dimensions are considered in the limits of small-amplitude and long-wavelength under appropriate boundary conditions. Using a double-series perturbation analysis, a general Boussinesq type of equation is deriv...
The shallow water equations (SWE) model flow in the domains whose characteristic wavelength in the horizontal is much larger than the water depth. The SWEs consist of a first-order hyperbolic continuity equation for the water elevation, coupled to momentum equations for the horizontal depth-...
Theoretical or Mathematical/ dispersion (wave) integration Korteweg-de Vries equation water waves wave equations/ rational solution general fifth-order shallow water-wave model fifth-order Korteweg-de Vries-like equation KdV-like equation travelling wave solutions long-wavelength limit integration truncated ...
They are the horizontal wavy movement along the shear interface having a typical wavelength of 100 km. Based on a simple theoretical model using the standard shallow water geophysical fluid dynamic equation, we found that these phenomena can be modeled by a kind of stable shear wave triggered by...
The Benney–Luke equation is also a water wave approximation to the Euler equation. The KP equation is the two-dimensional (2D) general type of KdV equation. In a weak dispersion medium, it describes long wavelength water waves. The BBM equation is also known as regularized long-wave ...
due to the Earth's rotation. This model equation has similar wave-breaking phenomena as the Camassa-Holm equation. It is analogous to the rotation-Green-Naghdi (R-GN) equations with the weak Earth's rotation effect, modeling the propagation of wave allowing large amplitude in shallow water. ...
The shallow water equations are used to describe the behavior of water waves in various shallow regions such as coastal areas, lakes, rivers, etc. These equations are derived by making simplifying assumptions about the water depth relative to the wavelength of the waves. In this paper, the gene...
Shallow water bathymetry has proved to be a challenging task for remote sensing applications. In this work Green-Wavelength Terrestrial Laser Scanning (GWTLS) is employed to survey nearshore bathymetry under clear atmospheric and water conditions. First, the obtained seabed points were corrected for ...