Modeling and simulation of fingering pattern formation in a combustion model
Langue
en
Article de revue
Ce document a été publié dans
Mathematical Models and Methods in Applied Sciences. 2015, vol. 25, n° 4, p. 36
World Scientific Publishing
Résumé en anglais
We consider a model of gas-solid combustion with free interface proposed by L. Kagan and G.I. Sivashinsky. Our approach is twofold: (I) we eliminate the front and get to a fully nonlinear system with boundary conditions; ...Lire la suite >
We consider a model of gas-solid combustion with free interface proposed by L. Kagan and G.I. Sivashinsky. Our approach is twofold: (I) we eliminate the front and get to a fully nonlinear system with boundary conditions; (II) we use a fourth-order pseudo-differential equation for the front to achieve asymptotic regimes in rescaled variables. In both cases, we implement a numerical algorithm based on spectral method and represent numerically the evolution of the char. Fingering pattern formation occurs when the planar front is unstable. A series of simulations are presented to demonstrate the evolution of sparse fingers (I) and chaotic fingering (II).< Réduire
Mots clés en anglais
Spectral method
Pattern formation
Gas-solid combustion
Smouldering
Asymptotics
Free interface
Fingering
Origine
Importé de halUnités de recherche