Coherent structures in fluid dynamics and kinetic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 9, pp. 1613-1623
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A possible approach to the simulation of turbulent flows is proposed that is based on statistics of vortices of various types in a plane. It is shown that coherent (large-scale) fluid structures can be identified with solutions of the Joyce-Montgomery equations, and the possibility that these solutions bifurcate is explored. The formalism of turbulent dynamics description is based on kinetic equations for point vortices with a nontrivial internal structure.
@article{ZVMMF_2010_50_9_a5,
author = {O. M. Belotserkovskiǐ and N. N. Fimin and V. M. Chechetkin},
title = {Coherent structures in fluid dynamics and kinetic equations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1613--1623},
publisher = {mathdoc},
volume = {50},
number = {9},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_9_a5/}
}
TY - JOUR AU - O. M. Belotserkovskiǐ AU - N. N. Fimin AU - V. M. Chechetkin TI - Coherent structures in fluid dynamics and kinetic equations JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2010 SP - 1613 EP - 1623 VL - 50 IS - 9 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_9_a5/ LA - ru ID - ZVMMF_2010_50_9_a5 ER -
%0 Journal Article %A O. M. Belotserkovskiǐ %A N. N. Fimin %A V. M. Chechetkin %T Coherent structures in fluid dynamics and kinetic equations %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2010 %P 1613-1623 %V 50 %N 9 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_9_a5/ %G ru %F ZVMMF_2010_50_9_a5
O. M. Belotserkovskiǐ; N. N. Fimin; V. M. Chechetkin. Coherent structures in fluid dynamics and kinetic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 9, pp. 1613-1623. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_9_a5/