K. Krohn (1), R. Jaumann (1,2), D. Elbeshausen (3), T. Kneissl (2), F. Preusker (1), T. Roatsch (1), N. Schmedemann (2), C.A. Raymond (4), C.T. Russell (5) (1) Institute of Planetary Research, German Aerospace Center (DLR), Berlin, Germany, (2) Freie Universität Berlin, Planetary Sciences and Remote Sensing, Berlin, Gemany, (3) Museum für Naturkunde, Leibniz-Institut für Evolutionsund Biodivers...

Shallow water waves are governed by a pair of non-linear partial differential equations. We transfer the associated homogeneous and non-homogeneous systems, (corresponding to constant and sloping depth, respectively), to the hodograph plane where we find all the non-simple wave solutions and construct infinitely many polynomial conservation laws. We also establish correspondence between conserv...

The short timescale temporal ev~lution of buoyancy-driven coastal flow over sloping bottom topography is examined using a two-dimensional, vertically averaged numerical model. Winter shelf circulation driven by a coastal "point source" buoyancy flux is modeled by initiating a coastal outflow with density anomaly t into well-mixed shelf water. The nonlinear interaction between the time-varying v...

Watertable waves generated by forcing from oceanic oscillations play an important role in the availability and quality of coastal groundwater resources. Here we present results from laboratory experiments which examine the influence of a boundary slope on the mass transfer from an oscillating clear water reservoir into a homogeneous, unconfined aquifer. The experimental forcing period is suffic...

Buoyancy inhomogeneities on sloping surfaces arise in numerous situations, for example, from variations in snow/ice cover, cloud cover, topographic shading, soil moisture, vegetation type, and land use. In this paper, the classical Prandtl model for one-dimensional flow of a viscous stably stratified fluid along a uniformly cooled sloping planar surface is extended to include the simplest type ...