Steady bilayer channel and free-surface isothermal film flow over topography

Steady free-surface flow over spatially periodic topography

Two-dimensional free-surface flow over a spatially periodic channel bed topography is examined using a steady periodically forced Korteweg–de Vries equation. The existence of new forced solitary-type waves with periodic tails is demonstrated using recently developed non-autonomous dynamical-systems theory. Bound states with two or more co-existing solitary waves are also identified. The solutio...

Electrified viscous thin film flow over topography

Localized Coupling between Surface and Bottom-Intensified Flow over Topography

Substantial bottom topography in a basin with planetary vorticity gradients strongly affects the vertical structure of the linear topographic and planetary Rossby waves that spin up the ocean circulation. There is no barotropic mode with large amplitude topography and stratification. It is shown that the lowest frequency two-layer quasigeostrophic waves that exist with stratification, planetary...

Gravity-driven free surface flow of granular avalanches over complex basal topography

A two-dimensional depth-integrated theory is derived for the gravity-driven free surface flow of cohesionless granular avalanches over complex shallow basal topography. This is an important extension of the one-dimensional Savage–Hutter theory. A simple curvilinear coordinate system is adopted, which is fitted to the ‘mean’ downslope chute topography. This defines a quasi-two-dimensional refere...

Electrified free-surface flow of an inviscid liquid past topography

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