| Issue |
MATEC Web Conf.
Volume 83, 2016
CSNDD 2016 - International Conference on Structural Nonlinear Dynamics and Diagnosis
|
|
|---|---|---|
| Article Number | 07002 | |
| Number of page(s) | 4 | |
| Section | Hydrodynamics and heat transfer | |
| DOI | https://doi.org/10.1051/matecconf/20168307002 | |
| Published online | 16 November 2016 | |
Heat Explosion In Porous Media Using Radial Basis Functions
1 FSTM, Laboratory of Mathematics & Applications, University Hassan II-Casablanca, Mohammedia, Morocco
2 Institut Camille Jordan, University Lyon 1, UMR 5208 CNRS, 69622 Villeurbanne, France
a e-mail: allali@hotmail.com
b e-mail: joundy.youssef@yahoo.fr
c e-mail: taik ahmed@yahoo.fr
d e-mail: volpert@math.univ-lyon1.fr
The paper is devoted to the numerical investigation of the interaction between natural convection and heat explosion in a fluid-saturated porous media in a rectangular domain. The model consists of Darcy equations for an incompressible fluid in a porous medium coupled with the nonlinear heat equation. Numerical simulations are performed using the radial basis functions method (RBFs). We study the bifurcation of the periodic oscillation of the response born by Hopf bifurcation. First, a symmetry-breaking bifurcations observed; then is followed by successive period-doubling bifurcations leading to chaos.
Key words: convective heat explosion / porous media / period-doubling / radials basis functions method
© The Authors, published by EDP Sciences, 2016
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