Coupling heat conduction and water-steam flow in a saturated porous medium

Abstract : This paper is devoted to the simulation of water forced evaporation in a porous saturated medium in a 3D-axisymmetric domain by resolution of partial differential algebraic equations (PDAE) that are encountered in different engineering applications. The goal of this paper is an attempt to present effective realizations, in order to determine the minimal duration of burning for prehistoric occupations. This multidisciplinary work includes scientists in Mathematics, Physics and Archaeology. The model proposed here couples the heat conduction in a water saturated soil with the water steam flow in the medium. We propose an efficient and robust global numerical method, based on a method of lines and differential algebraic equations (DAE) solvers, combined with a Newton method using a powerful sparse linear solver. After a brief overview of classes for numerical techniques applied for moving boundary problems, the Apparent Heat Capacity method (AHC) is used, and in order to validate our codes, a comparison with experiments is done.
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International Journal for Numerical Methods in Engineering, Wiley, 2011, 85, pp.1390-1414. 〈10.1002/nme.3022〉
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https://hal.inria.fr/inria-00540366
Contributeur : Édouard Canot <>
Soumis le : vendredi 26 novembre 2010 - 15:28:30
Dernière modification le : samedi 19 mai 2018 - 11:44:01

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Mohamad Muhieddine, Édouard Canot, Ramiro Javier March, Renaud Delannay. Coupling heat conduction and water-steam flow in a saturated porous medium. International Journal for Numerical Methods in Engineering, Wiley, 2011, 85, pp.1390-1414. 〈10.1002/nme.3022〉. 〈inria-00540366〉

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