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The purpose of this article is the analysis and the development of Eulerian multi-fluid models to describe the evolution of the mass density of evaporating liquid sprays.
First, the classical multi-fluid model developed in [Laurent and Massot,
(2001) 537–572] is analyzed in the framework of an unsteady configuration without dynamical nor heating effects, where the evaporation process is isolated, since it is a key issue.
The classical multi-fluid method consists then in a discretization...
We tackle the numerical simulation of reaction-diffusion equations modeling multi-scale
reaction waves. This type of problems induces peculiar difficulties and potentially large
stiffness which stem from the broad spectrum of temporal scales in the nonlinear chemical
source term as well as from the presence of large spatial gradients in the reactive
fronts, spatially very localized. A new resolution strategy was recently introduced
that combines...
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