Geodesic
Numerical modeling of the shock and detonation waves interaction with particles on microlevel
Čelâbinskij fiziko-matematičeskij žurnal, Tome 3 (2018) no. 2, pp. 172-192

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A computational technology has been developed for direct modeling of the interaction of shock and detonation waves with a set of particles at the microlevel, taking into account the thermal and velocity relaxation of the particles. The simulation of the shock and detonation waves passage through a system of particles with their different mutual location is carried out. Detailed shock-wave patterns of the gas flow in the vicinity of the particles are obtained. The influence of the particles location on their drag coefficient is studied. It is shown that in the case of particles located perpendicular to the flow, the flow regime has an insignificant effect on the drag coefficient, and in the case of particles located along the flow, their mutual influence is preserved at a large distance. Dynamics of heat transfer during the passage of a shock wave through particles is determined and the influence of the mutual location of particles on the dynamics of heat exchange is revealed. In the calculations of the detonation wave-particles interaction, the possibility of detonation failure at particles volume fraction close to the concentrations obtained in modeling at the macrolevel was discovered.
Keywords: shock waves, detonation waves, velocity and thermal relaxation of particles, numerical simulation. 
@article{CHFMJ_2018_3_2_a3,
     author = {I. A. Bedarev},
     title = {Numerical modeling of the shock and detonation waves interaction with particles on microlevel},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {172--192},
     publisher = {mathdoc},
     volume = {3},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2018_3_2_a3/}
}
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I. A. Bedarev. Numerical modeling of the shock and detonation waves interaction with particles on microlevel. Čelâbinskij fiziko-matematičeskij žurnal, Tome 3 (2018) no. 2, pp. 172-192. http://geodesic.mathdoc.fr/item/CHFMJ_2018_3_2_a3/