Note on interface dynamics for convection in porous media

PHYSICA D-NONLINEAR PHENOMENA

卷:237

Article; Proceedings Paper

Cordoba, Diego¹  Gancedo, Francisco²  Orive, Rafael³ 

[1] CSIC, Inst Ciencias Matemat, Madrid 28006, Spain

[2] Univ Chicago, Dept Math, Chicago, IL 60637 USA

[3] Univ Autonoma Madrid, Dept Matemat, Fac Ciencias, E-28049 Madrid, Spain

关键词: porous media;    fluid interface;    incompressible flow;   

DOI  :  10.1016/j.physd.2008.03.042

来源: Elsevier

【 摘 要 】

We studied 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 temperatures. We found a new formula for the evolution equation of the free boundary parameterized as a function in the periodic case. In this formula there is not 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 shows a strong regularity effect in the periodic interface. (c) 2008 Elsevier B.V. All rights reserved.

【 授权许可】

Free