Geodesic
To the simulation of averaged hydrodynamics solutions
Matematičeskoe modelirovanie, Tome 9 (1997) no. 12, pp. 110-120.

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The method of simulation of the averaged solutions of hydrodynamic type equations based on transition to a “characteristic” scale of short-wave heterogeneities of flow is considered. The procedure of equations' solutions averaged on a short-wave scale is shown. This procedure is based on obtaining of differential approximations of averaged equations. The properties of obtained differential approximations are considered on an example of the solutions of Burgers equation (circumscribing nonlinear and viscous effects) averaged with the offered way. 
@article{MM_1997_9_12_a9,
     author = {M. Ya. Ivanov},
     title = {To the simulation of averaged hydrodynamics solutions},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {110--120},
     publisher = {mathdoc},
     volume = {9},
     number = {12},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1997_9_12_a9/}
}
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M. Ya. Ivanov. To the simulation of averaged hydrodynamics solutions. Matematičeskoe modelirovanie, Tome 9 (1997) no. 12, pp. 110-120. http://geodesic.mathdoc.fr/item/MM_1997_9_12_a9/