This article describes a discontinuous implementation of residual distribution for shallow-water flows. The emphasis is put on the space-time implementation of residual distribution for the time-dependent system of equations with discontinuity in time only. This lifts the timestep restriction that even implicit continuous residual distribution schemes invariably suffer from, and thus leads to a...

All shallow water hydro-sediment-morphodynamic (SHSM) models are prone to uncertainty arising from inadequate representation of the underlying physics and error in input parameters. At time writing, most SHSM solve deterministic problems, whilst studies quantification remain rare. Here a new stochastic model is proposed, extended well-balanced, operator-splitting-based, generalized polynomial c...

Little is known about the functional capability of microbial communities in shallow-sea hydrothermal systems (water depth of <200 m). This study analyzed two high-throughput pyrosequencing metagenomic datasets from the vent and the surface water in the shallow-sea hydrothermal system offshore NE Taiwan. This system exhibited distinct geochemical parameters. Metagenomic data revealed that the ve...

We present a new real-time hydraulic erosion simulation for Computer Graphics. In our system water runs over the surface and disintegrates the underlying layer of soil. The grit is simulated as a fluid with higher viscosity and moves on the ground of the water pool. When water evaporates, or the dissolved soil exceeds a critical level, the dissolved matter is deposited back on the ground for ac...

We consider the numerical approximation of the shallow–water equations with non–flat topography. We introduce a new topography discretization that makes all schemes to be well–balanced and robust. At the discrepancy with the well–known hydrostatic reconstruction, the proposed numerical procedure does not involve any cut–off. Moreover, the obtained scheme is able to deal with dry areas. Several ...

The theoretical solutions and corresponding numerical simulations of [Schär & Smolarkiewicz, J. Comput. Phys, 128 (1996) 101]) are revisited. The original abstract problem of a parabolic, slab-symmetric drop of shallow water spreading under gravity is extended to three spatial dimensions, with the initial drop defined over an elliptical compact support. An axisymmetric drop is considered as a s...

We show how the rotating shallow-water MHD model, which was proposed in the solar tachocline context, may be systematically derived by vertical averaging of the full MHD equations for the rotating magneto fluid under the influence of gravity. The procedure highlights the main approximations and the domain of validity of the model, and allows for multi-layer generalizations and, hence, inclusion...

The objective of the ocean acoustics components of the GOATS project is to develop a fundamental understanding of the 3D acoustic environment associated with the mine countermeasures (MCM) problem in shallow water (SW) and very shallow water (VSW) and to develop efficient physics based propagation and scattering models incorporating aspect-dependent targets and seabed features, and the waveguid...

Characterisation of the shallow water acoustic communications channel involves the analysis of sounding data. Chirp signals have many properties which make them an attractive choice for channel sounding. They are easily generated and channel responses can be processed in the time or frequency domain for channel estimation. In the rapidly varying shallow water environment time domain techniques ...

A bathymetric, polarization lidar system transmitting at 532 nm and using a single photomultiplier tube is employed for applications of shallow water depth measurement. The technique exploits polarization attributes of the probed water body to isolate surface and floor returns, enabling constant fraction detection schemes to determine depth. The minimum resolvable water depth is no longer dicta...