Hydroelastic lumps in shallow water

Geoacoustic Inversion in Shallow Water

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...

Shallow Water Flows in Channels

We consider the shallow water equations for flows through channels with arbitrary cross-section. The system forms a hyperbolic set of balance laws. Exact steady-state solutions are available and are controlled by the relation between the bottom topography and the channel geometry. We use a Roetype upwind scheme for the system. Considerations of conservation, near steady-state accuracy, velocity...

Nonclassical Shallow Water Flows

This paper deals with violent discontinuities in shallow water flows with large Froude number F . On a horizontal base, the paradigm problem is that of the impact of two fluid layers in situations where the flow can be modelled as two smooth regions joined by a singularity in the flow field. Within the framework of shallow water theory we show that, over a certain timescale, this discontinuity ...

Shallow Water Domain Decomposition

Scintillating shallow-water waveguides

We present an analysis of acoustic wave propagation in a random shallow-water waveguide with an energy absorbing sub-bottom, in which deviations of the index of refraction are a stochastic process. The speciic model we study is motivated by the oceanic waveguide in shallow waters, in which the sub-bottom sediment leads to energy loss from the acoustic eld, and the stochastic process results fro...