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A note on interface dynamics for convection in porous media

Opened Access A note on interface dynamics for convection in porous media

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Autor: Córdoba Gazolaz, Diego
Gancedo García, Francisco
Orive Illera, Rafael
Departamento: Universidad de Sevilla. Departamento de Análisis Matemático
Fecha: 2008-07-15
Publicado en: Physica D: Nonlinear Phenomena, 237 (10-12), 1488-1497.
Tipo de documento: Artículo
Resumen: We study the fluid interface problem through porous media given by two incompressible 2-D fluids of different densities. This problem is mathematically analogous to the dynamics interface for convection in porous media, where the free boundary evolves between fluids with different temperature. We find a new formula for the evolution equation of the free boundary parameterized as a function in the periodic case. In this formula there is no a principal value in the non-local integral operator involved in the equation, giving a simpler system. Using this formulation, we perform numerical simulations in the stable case (denser fluid below) which show a strong regularity effect in the periodic interface.
Cita: Córdoba Gazolaz, D., Gancedo García, F. y Orive Illera, R. (2008). A note on interface dynamics for convection in porous media. Physica D: Nonlinear Phenomena, 237 (10-12), 1488-1497.
Tamaño: 228.2Kb
Formato: PDF

URI: http://hdl.handle.net/11441/45193

DOI: 10.1016/j.physd.2008.03.042

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