Geodesic
Effect of relaxation processes on the shock wave focusing in a gas suspension cloud
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 66 (2020), pp. 121-131

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In this paper, the interaction of a plane shock wave in air with a cylindrical region of a gas suspension and the effect of relaxation processes for various particle sizes on the refraction and focusing of the shock wave are studied. In the course of numerical modeling, the Euler approach is used to describe non-equilibrium motion of the gas and dispersed phases. A second order accuracy method in space and time is used. Verification of the method through test problems by comparing with exact solutions and calculations of other authors confirms a capability of detecting shock wave refraction effects and wave focusing with the appearance of peak profiles in a distribution of parameters. With an increase in particle sizes, the relaxation zones behind the shock wave and secondary waves, which propagate through a gas suspension cloud, have a significant impact on the shock wave refraction, focusing of transverse shock waves, and interface instability evolution. A focus point is shifted towards suspension cloud boundaries, while for sufficiently large particles, it moves beyond the boundaries (external focus mode). Thus, the reflection pressure of transverse waves and intensity of the instability at the interface reduce.
Keywords: shock wave, focusing, relaxation processes
Mots-clés : gas suspension. 
@article{VTGU_2020_66_a9,
     author = {D. V. Sadin and B. V. Belyaev and V. A. Davidchuk},
     title = {Effect of relaxation processes on the shock wave focusing in a gas suspension cloud},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {121--131},
     publisher = {mathdoc},
     number = {66},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2020_66_a9/}
}
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D. V. Sadin; B. V. Belyaev; V. A. Davidchuk. Effect of relaxation processes on the shock wave focusing in a gas suspension cloud. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 66 (2020), pp. 121-131. http://geodesic.mathdoc.fr/item/VTGU_2020_66_a9/