Numerical stability analysis of the Taylor–Couette flow in the two-dimensional case
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 4, pp. 754-768
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The stability of the laminar flow between two rotating cylinders (Taylor–Couette flow) is numerically studied. The simulation is based on the equations of motion of an inviscid fluid (Euler equations). The influence exerted on the flow stability by physical parameters of the problem (such as the gap width between the cylinders, the initial perturbation, and the velocity difference between the cylinders) is analyzed. It is shown that the onset of turbulence is accompanied by the formation of large vortices. The results are analyzed and compared with those of similar studies.
@article{ZVMMF_2009_49_4_a15,
author = {O. M. Belotserkovskii and V. V. Denisenko and A. V. Konyukhov and A. M. Oparin and O. V. Troshkin and V. M. Chechetkin},
title = {Numerical stability analysis of the {Taylor{\textendash}Couette} flow in the two-dimensional case},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {754--768},
publisher = {mathdoc},
volume = {49},
number = {4},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_4_a15/}
}
TY - JOUR AU - O. M. Belotserkovskii AU - V. V. Denisenko AU - A. V. Konyukhov AU - A. M. Oparin AU - O. V. Troshkin AU - V. M. Chechetkin TI - Numerical stability analysis of the Taylor–Couette flow in the two-dimensional case JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2009 SP - 754 EP - 768 VL - 49 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_4_a15/ LA - ru ID - ZVMMF_2009_49_4_a15 ER -
%0 Journal Article %A O. M. Belotserkovskii %A V. V. Denisenko %A A. V. Konyukhov %A A. M. Oparin %A O. V. Troshkin %A V. M. Chechetkin %T Numerical stability analysis of the Taylor–Couette flow in the two-dimensional case %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2009 %P 754-768 %V 49 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_4_a15/ %G ru %F ZVMMF_2009_49_4_a15
O. M. Belotserkovskii; V. V. Denisenko; A. V. Konyukhov; A. M. Oparin; O. V. Troshkin; V. M. Chechetkin. Numerical stability analysis of the Taylor–Couette flow in the two-dimensional case. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 4, pp. 754-768. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_4_a15/