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Article Dans Une Revue Mathematical Models and Methods in Applied Sciences Année : 2015

Modeling and simulation of fingering pattern formation in a combustion model

Lina Hu
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Claude-Michel Brauner
Jie Shen
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Résumé

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).
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Dates et versions

hal-00922315 , version 1 (26-12-2013)
hal-00922315 , version 2 (22-07-2014)

Identifiants

  • HAL Id : hal-00922315 , version 2

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Lina Hu, Claude-Michel Brauner, Jie Shen, Gregory I. Sivashinsky. Modeling and simulation of fingering pattern formation in a combustion model. Mathematical Models and Methods in Applied Sciences, 2015, 25 (4), pp.36. ⟨hal-00922315v2⟩
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