Article
A note on interface dynamics for convection in porous media
Author/s | Córdoba Gazolaz, Diego
Gancedo García, Francisco Orive Illera, Rafael |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2008-07-15 |
Deposit Date | 2016-09-21 |
Published in |
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Abstract | 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, ... 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. |
Project ID. | MTM2005-05980
PAC-05-005-2 |
Citation | 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. |
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