Geodesic
Two-phase shock layer in supersonic dusty gas flow
Matematičeskoe modelirovanie, Tome 21 (2009) no. 12, pp. 89-102

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The work is dedicated to the problems of numerical modeling of supersonic flow with an admixture of particles over blunt bodies. The model of the two-phase shock layer is based on combination of an Euler description of the gas phase and a Lagrangian description of the dispersed phase. In so doing we use the full-scaled variant of the discrete-element method, i.e. it performs direct numerical modeling of the admixture dynamics. The effect of collisional and collisionless particle admixture on the flow of the carrying gas and convective heat transfer is studied as well as the direct impact of the two-phase flow on the streamlined body. 
@article{MM_2009_21_12_a6,
     author = {V. V. Vinnikov and D. L. Reviznikov and A. V. Sposobin},
     title = {Two-phase shock layer in supersonic dusty gas flow},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {89--102},
     publisher = {mathdoc},
     volume = {21},
     number = {12},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2009_21_12_a6/}
}
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V. V. Vinnikov; D. L. Reviznikov; A. V. Sposobin. Two-phase shock layer in supersonic dusty gas flow. Matematičeskoe modelirovanie, Tome 21 (2009) no. 12, pp. 89-102. http://geodesic.mathdoc.fr/item/MM_2009_21_12_a6/