Antony Hill's Outputs (3)

Nonlinear stability of the one-domain approach to modelling convection in superposed fluid and porous layers (2010)
Presentation / Conference Contribution

Studies of the nonlinear stability of fluid/porous systems have been developed very recently. A two-domain modelling approach has been adopted in previous works, but was restricted to specific configurations. The extension to the more general case of... Read More about Nonlinear stability of the one-domain approach to modelling convection in superposed fluid and porous layers.

Penetrative convection via internal heating in anisotropic porous media (2010)
Journal Article

Penetrative convection in an anisotropic porous medium is simulated via internal heating. We consider both internal heat sources and sinks, where the porous medium has constant anisotropic thermal diffusivity and non-homogeneous permeability. Both li... Read More about Penetrative convection via internal heating in anisotropic porous media.

Sharp global nonlinear stability for a fluid overlying a highly porous material (2010)
Journal Article

The stability of convection in a two-layer system in which a layer of fluid with a temperature-dependent viscosity overlies and saturates a highly porous material is studied. Owing to the difficulties associated with incorporating the nonlinear advec... Read More about Sharp global nonlinear stability for a fluid overlying a highly porous material.