Geodesic
Description technique of relations between Euler's grid and Lagrange objects
Matematičeskoe modelirovanie, Tome 24 (2012) no. 8, pp. 97-108.

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The paper presents the technique of using data with dynamic structure to describe relations between Euler’s grid and Lagrange objects, as well as a realizing algorithm having asymptotic complexity $O(N^*\log(N))$ when creating data structure and $O(N)$ to support it in actual state. The algorithm workability has been demonstrated by the example of the problem on solid particles movement in gas in the most unfavourable case: particle Lagrange coordinates are not regulated in space, herewith, the relation of a particle relaxation time to integrating step as well as the relation of particle mass to gas mass can have arbitrary value.
Keywords: mechanics of continua, multiphase media, Eulerian grid, Lagrangian particle, data with dynamic structure, interaction. 
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     title = {Description technique of relations between {Euler's} grid and {Lagrange} objects},
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S. A. Andrianov. Description technique of relations between Euler's grid and Lagrange objects. Matematičeskoe modelirovanie, Tome 24 (2012) no. 8, pp. 97-108. http://geodesic.mathdoc.fr/item/MM_2012_24_8_a5/

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