Continuum Mechanics and Thermodynamics

, Volume 11, Issue 3, pp 181–191 | Cite as

On a Darcy–Stefan Problem arising in freezing and thawing of saturated porous media

  • José Francisco Rodrigues
  • José Miguel Urbano

A model with phase change for material convection in a saturated porous medium with a frozen region is formulated as a Darcy-Stefan problem. We propose a new generalized formulation for this Stefan-type problem with convection governed by Darcy's law. This approach, which is valid for irregular geometries with irregular subregions, has the advantage of not requiring the smoothness of the temperature, that restricted previous mathematical works to two-dimensional particular cases. We show existence of generalized solutions, passing to the limit in suitable approximated problems, which in principle can be solved numerically by the finite element method.


Convection Porous Medium Finite Element Method Generalize Solution Phase Change 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • José Francisco Rodrigues
    • 1
  • José Miguel Urbano
    • 2
  1. 1. C.M.A.F. / Universidade de Lisboa, Av. Prof. Gama Pinto, 2 – P-1649-003 Lisboa, Portugal PT
  2. 2. C.M.U.C. / Universidade de Coimbra, Apartado 3008 – P-3000 Coimbra, Portugal PT

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