Geodesic
Evolution of ``weakly'' intermixed multiphase flow as a~random walk process. ``Walking phases'' and ``walking waves'' models
Matematičeskoe modelirovanie, Tome 8 (1996) no. 5, pp. 37-50.

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A new approach is proposed to the description of processes in multiphase flows (MF) at intermediate case $l\simeq l_0$, where $l$ is a characteristic size of MF components inhomogenities and $l_0$ is a linear scale on which MF macroscopic parameters vary essentially. Unlike the cases when MF components inhomogenieties size $l\gg l_0$ (MF is not intermixed) and when $l\ll l_0$ (MF is “strongly” intermixed), here the stochastic approach is suggested. One of MF components is considered a carrying media and is simulated by regular lattice. All other components are simulated by randomly walking particles in the lattice. In this approach the theory of random walks is used instead of differential equations. Within the limits of this approach two models are built: the model of heat transfer in gas-liquid flow with turbulent intermix and the model of acoustic waves dissipation in foam stratum. 
@article{MM_1996_8_5_a2,
     author = {V. E. Alemasov and M. H. Brenerman and A. R. Kessel and J. I. Kravtsov},
     title = {Evolution of  ``weakly'' intermixed multiphase flow as a~random walk process. {``Walking} phases'' and ``walking waves'' models},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {37--50},
     publisher = {mathdoc},
     volume = {8},
     number = {5},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1996_8_5_a2/}
}
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V. E. Alemasov; M. H. Brenerman; A. R. Kessel; J. I. Kravtsov. Evolution of  ``weakly'' intermixed multiphase flow as a~random walk process. ``Walking phases'' and ``walking waves'' models. Matematičeskoe modelirovanie, Tome 8 (1996) no. 5, pp. 37-50. http://geodesic.mathdoc.fr/item/MM_1996_8_5_a2/