Geodesic
Macroparameters of three-dimensional flows in free shear turbulence
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 6, pp. 1126-1139

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The initial stage of the onset of turbulence in a three-dimensional compressible inviscid shear flow is studied. An initial deterministic velocity perturbation in the form of one or several Fourier modes leads to the development of a cascade of instabilities, which is numerically simulated. The influence exerted on the formation of the cascade of instabilities and the transition to turbulence by the size of the computational domain, the shear layer width, and the initial conditions is analyzed. It is shown that the mechanism of turbulence onset is essentially three-dimensional. The influence of various flow parameters and initial conditions on the formation of the turbulence cascade is studied numerically. 
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     author = {O. M. Belotserkovskiǐ and S. V. Fortova},
     title = {Macroparameters of three-dimensional flows in free shear turbulence},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1126--1139},
     publisher = {mathdoc},
     volume = {50},
     number = {6},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_6_a11/}
}
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O. M. Belotserkovskiǐ; S. V. Fortova. Macroparameters of three-dimensional flows in free shear turbulence. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 6, pp. 1126-1139. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_6_a11/