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Simulation numérique des structures de combustion préhistoriques
2009 October, 16
166 pages
Language: French
Team(s): SAGE
Summary:
In order to understand the ancient human behavior, it was necessary to
find an appropriate methodology to study the nature and the mechanism of
the prehistoric fires. This work presents numerical methods to solve the
problem of heat diffusion in water saturated porous media and to
determine the physical properties of the medium by inverse method.
However, the first part of this work concerns the resolution of phase
change problems using two approaches LHA (latent heat accumulation) and
AHC (apparent heat capacity); this last one is used in what follows. We
use systematically the method of lines which consists first on
discretizing in space, by finite volume method with an implicit scheme
and a modified Newton method to deal with the non linearity, or by
hybrid mixed finite element with a semi-implicit scheme in time. In
addition, the coupling diffusion-convection model has been studied
leading to a system of differential algebraic equations solved by an
appropriate solver. After the comparisons with the results of the real
experiments realized at the archaeological site of Pincevent, the shown
methods look interesting and the results are promissing. The second part
of my Ph.D work is about the estimation of thermophysical properties of
the archaeological soil by inverse problem. The Gauss-Newton method is
used to solve the problem. The obtained results show a good convergence
to the desired solution.