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 ...

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...

(A) For elastic sediments we derived a new PE formulation [1] that unlike any predecessor handles layered environments accurately and efficiently while remaining numerically stable. This formulation, based on different computational variables, can treat range dependent sediments and properly account for energy conservation [2]. We demonstrated additional properties and advantages of the new met...

Surface flow phenomena, such as rain water flowing down a tree trunk and progressive water front in a shower room, are common in real life. However, compared with the 3D spatial fluid flow, these surface flow problems have been much less studied in the graphics community. To tackle this research gap, we present an efficient, robust and high-fidelity simulation approach based on the shallow-wate...

shallowand deep-water acoustics. But during the cold war, the research emphasis shifted abruptly to deep water, where the ballistic missile submarine threat lurked (see box 1). After the cold war, the onset of regional conflicts in coastal countries shifted the focus again to shallow water. Those waters encompass about 5% of the world’s oceans on the continental shelves, roughly the region from...

where an denotes a vertical acceleration of the fluid, e.g., due to gravity. This formulation can be derived from the NS equations by, most importantly, assuming a hydrostatic pressure along the direction of gravity. Interested readers can find a detailed derivation of these euqations in Section A. In the following sections we will first explain how to solve these equations with a basic solver,...