Geodesic
The interaction of spherical shock waves with a near-surface heterogeneous layers with a chemically active gas phase
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 11 (2018) no. 3, pp. 62-71

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This paper presents an analysis of the numerical study of the interaction of spherical shock waves with a heterogeneous layer located on the strip surface. The gas phase in the heterogeneous layer is chemically active and simulates the composition of gaseous pyrolysis products of forest combustible materials. The condensed phase of the heterogeneous layer is represented as a fixed lattice, the nodes of which are solid particles. The numerical simulation was carried out with the separation of chemical and gas-dynamic processes calculation because of different time of their course. Of the fact that the model problem is considered, the composition of gaseous pyrolysis products of forest combustible materials was taken in a simplified form. The results showed that the account of chemical transformation in the gas phase leads to the increase of the speed and intensity of the shock wave propagating through the heterogeneous layer. In addition, taking into account the energy release in the gas phase of chemical transformation, leads to an increase in the size of the precursor connecting the front of the shock wave and part of the shock wave moving inside the layer.
Keywords: numerical procedure; mathematical model; conservation laws; Courant number. 
@article{VYURU_2018_11_3_a4,
     author = {N. L. Klinacheva and Yu. M. Kovalev},
     title = {The interaction of spherical shock waves with a near-surface heterogeneous layers with a chemically active gas phase},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
     pages = {62--71},
     publisher = {mathdoc},
     volume = {11},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2018_11_3_a4/}
}
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N. L. Klinacheva; Yu. M. Kovalev. The interaction of spherical shock waves with a near-surface heterogeneous layers with a chemically active gas phase. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 11 (2018) no. 3, pp. 62-71. http://geodesic.mathdoc.fr/item/VYURU_2018_11_3_a4/