Geodesic
About one discrete mathematical model of perfect fluid
Matematičeskoe modelirovanie, Tome 28 (2016) no. 9, pp. 43-63

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We construct a discrete mathematical model of motion of a perfect fluid. The fluid is represented as an ensemble of the same so-called liquid particles, which are in the form of extended geometry: circles and spheres for two-dimensional and three-dimensional cases, respectively. The mechanism of interaction between the liquid particles on a binary level and on the level of the $n$-cluster is formulated. The results of computational experiment to simulate various kinds of flows in two-dimensional and three-dimensional ensembles of liquid particles are presented.
Keywords: discrete model, perfect fluids, branch point, interaction in cluster, laws of conservation, stochastic and deterministic components of flow.
Mots-clés : liquid particle, turbulence 
@article{MM_2016_28_9_a3,
     author = {K. E. Plokhotnikov},
     title = {About one discrete mathematical model of perfect fluid},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {43--63},
     publisher = {mathdoc},
     volume = {28},
     number = {9},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2016_28_9_a3/}
}
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K. E. Plokhotnikov. About one discrete mathematical model of perfect fluid. Matematičeskoe modelirovanie, Tome 28 (2016) no. 9, pp. 43-63. http://geodesic.mathdoc.fr/item/MM_2016_28_9_a3/