@article{ac90a5a13ef44c1d92de3cc7c05da35b,
title = "Modeling and simulation of fingering pattern formation in a combustion model",
abstract = "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 is presented to demonstrate the evolution of sparse fingers (I) and chaotic fingering (II).",
keywords = "Asymptotics, Fingering, Free interface, Gas-solid combustion, Pattern formation., Smouldering, Spectral method",
author = "Lina Hu and Brauner, {Claude Michel} and Jie Shen and Sivashinsky, {Gregory I.}",
note = "Publisher Copyright: {\textcopyright} 2015 World Scientific Publishing Company.",
year = "2015",
month = apr,
day = "22",
doi = "10.1142/S0218202515500165",
language = "אנגלית",
volume = "25",
pages = "685--720",
journal = "Mathematical Models and Methods in Applied Sciences",
issn = "0218-2025",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "4",
}