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

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 ef...

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Bibliographic Details
Published in:International journal for numerical methods in engineering 2011-03, Vol.85 (11), p.1390-1414
Main Authors: Muhieddine, M., Canot, É., March, R., Delannay, R.
Format: Article
Language:English
Subjects:
Algebra
Applied sciences
Buildings. Public works
Computer Science
Conduction
Differential equations
Exact sciences and technology
finite volume method
Flows through porous media
Fluid dynamics
Fundamental areas of phenomenology (including applications)
gas flow in porous media
Geotechnics
Heat conduction
Heat transfer
high performance computing
implicit ODE system
Mathematical analysis
Mathematical models
Nonhomogeneous flows
Numerical Analysis
phase change problem
Physics
Soil mechanics. Rocks mechanics
Solid mechanics
Solvers
Structural and continuum mechanics
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Summary: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. Copyright © 2010 John Wiley & Sons, Ltd.
ISSN:0029-5981
1097-0207
1097-0207
DOI:10.1002/nme.3022