Numerical simulation of burning front propagation |
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Authors: | E O Egorov A P Vinogradov A V Dorofeenko A A Pukhov J -P Clerc |
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Affiliation: | 1. Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow oblast, Russia 2. Institute of Theoretical and Applied Electrodynamics, Russian Academy of Sciences, Moscow, Russia 3. Provence University, Marseille, France
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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 Δ and amplitude Δβ for a finite time τ = τ(Δβ, Δ) up to a complete stop at it (τ = ∞). Critical values Δβ c and Δ c corresponding to the autowave stop are found. The similarity laws \(\tau \sim (\Delta _c - \Delta )^{ - \gamma _\Delta } \) and \(\tau \sim (\Delta \beta _c - \Delta \beta )^{ - \gamma _\beta } \) are established, and the critical indices and are found. The similarity law is established for critical values of amplitude and width of the inhomogeneity corresponding to the autowave stop Δβ c ~ Δ c -δ where δ ≈ 1. |
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