This paper derives a set of two dimensional equations describing a thin inviscid fluid layer flowing over topography in a frame rotating about an arbitrary axis. These equations retain various terms involving the locally horizontal components of the angular velocity vector that are discarded in the usual shallow water equations. The obliquely rotating shallow water equations are derived both by...

The sponge Tetilla sp. (Tetractinomorpha: Tetillidae) is a common species in the eastern Mediterranean. This sponge inhabits four different habitat types differing in wave impact and irradiance levels. Two of these habitats (a shallow cave and deep water) are characterized by relatively calm water, whereas the other two (shallow exposed site and tide pools) are in turbulent water with high ener...

A Shallow Water Wave-like nonlinear differential equation is considered by using the generalized bilinear equation with the generalized bilinear derivatives 3,x D and 3,t D , which possesses the same bilinear form as the standard shallow water wave bilinear equation. By symbolic computation, four presented classes of rational solutions contain all rational solutions to the resulting Shallow Wat...

This paper presents a new function expansion method for finding traveling wave solution of a non-linear equation and calls it the ( G′ G ) -expansion method. The shallow water wave equation is reduced to a non linear ordinary differential equation by using a simple transformation. As a result the traveling wave solutions of shallow water wave equation are expressed in three forms: hyperbolic so...

The deterministic shallow water equations (SWEs) are frequently used as a toy model to verify new techniques supposed to enter the milieu of numerical weather prediction. To combine stochastic and deterministic modeling, we propose a random field whose dynamics are governed by the shallow water formalism. The dynamics are introduced by embedding deterministic velocities into a stochastic tempos...

The water cushion depth of stilling basin with shallow-water cushion is a key factor that 13 affects the flow regime of hydraulic jump in the basin. However, the specific depth at which the 14 water cushion is considered as “shallow” has not be stated clearly for now, and only conceptual 15 description is provided. This paper attempts to specify the best water cushion depth based on the 16 flow...

Time reversal communications exploits spatial diversity to achieve spatial and temporal focusing in complex ocean environments. Spatial diversity easily can be provided by a vertical array in a waveguide. Alternatively, spatial diversity can be obtained from a virtual horizontal array generated by two elements, a transmitter and a receiver, due to relative motion between them, referred to as a ...

The ability to predict the sound field in shallow water envirnments depends to a large degree on having adequate knowledge of the geoacoustic properties of the bottom. The long term objectives of this research project are related to the investigation of experimental methods and inversion techniques for estimating parameters of geoacoustic models of the ocean bottom and the associated uncertaint...