Numerical Simulations of Heat ExplosionWith Convection In Porous Media

Karam Allali (1) , Fouad Bikany (1) , Ahmed Taik (1) , Vitaly Volpert (2)

1 MAC - Laboratoire modélisation, analyse numérique et calcul scientifique
2 DRACULA - Multi-scale modelling of cell dynamics : application to hematopoiesis

In this paper we study the interaction between natural convection and heat explosion in porous media. The model consists of the heat equation with a nonlinear source term describing heat production due to an exothermic chemical reaction coupled with the Darcy law. Stationary and oscillating convection regimes and oscillating heat explosion are observed. The models with quasi-stationary and unstationary Darcy equation are compared.

Mots clés: heat explosion; natural convection; porous medium; numerical simulations

Domaines: Systèmes dynamiques [math.DS]

Karam Allali, Fouad Bikany, Ahmed Taik, Vitaly Volpert. Numerical Simulations of Heat ExplosionWith Convection In Porous Media. 2013. ⟨hal-00859414⟩