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TVT, 2014, Volume 52, Issue 3, Pages 473–476 (Mi tvt452)  

Short Communications

Numerical Simulation of Burning Front Propagation

E. O. Egorovab, A. P. Vinogradovab, A. V. Dorofeenkoab, A. A. Pukhovab, J.-P. Clerkc

a Moscow Institute of Physics and Technology (State University)
b Institute for Theoretical and Applied Electromagnetics, Russian Academy of Sciences, Moscow
c Provence University, Marseille, France

Abstract: In the context of a numerical experiment, it is shown that the switching wave described by the reaction–diffusion equation can be delayed at a medium inhomogeneity with a thickness $\Delta$ and amplitude $\Delta\beta$ for a finite time $\tau=\tau(\Delta\beta,\Delta)$ up to a complete stop at it $\tau=\infty$. Critical values $\Delta\beta_c$ and $\Delta_c$ corresponding to the autowave stop are found. The similarity laws are established $\tau\sim(\Delta_c-\Delta)^{-\gamma_{\Delta}}$, $\tau\sim(\Delta\beta_c-\Delta\beta)^{-\gamma_{\beta}}$ and critical indexes $\gamma_{\Delta}$, $\gamma_{\beta}$ are found. The similarity law is established for critical values of amplitude and width of the inhomogeneity corresponding to the autowave stop $\Delta\beta_c\sim\Delta_c^{-\delta}$, where $\delta\approx1$.

DOI: https://doi.org/10.7868/S0040364414030090

Full text: PDF file (224 kB)
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English version:
High Temperature, 2014, 52:3, 459–462

Bibliographic databases:

UDC: 539.21
Received: 23.05.2013

Citation: E. O. Egorov, A. P. Vinogradov, A. V. Dorofeenko, A. A. Pukhov, J.-P. Clerk, “Numerical Simulation of Burning Front Propagation”, TVT, 52:3 (2014), 473–476; High Temperature, 52:3 (2014), 459–462

Citation in format AMSBIB
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\paper Numerical Simulation of Burning Front Propagation
\jour TVT
\yr 2014
\vol 52
\issue 3
\pages 473--476
\mathnet{http://mi.mathnet.ru/tvt452}
\crossref{https://doi.org/10.7868/S0040364414030090}
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\jour High Temperature
\yr 2014
\vol 52
\issue 3
\pages 459--462
\crossref{https://doi.org/10.1134/S0018151X14030092}
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