|
Article information
2011 , Volume 16, ¹ 5, p.16-29
Grebenev V.N.
Decaying homogeneous isotropic turbulence in the limit of large Reynolds numbers
In thise article, the initial-value problem is studied for a closure model of the von Karman-Howarth equation. In the limit of large Reynolds numbers, both existence and uniqueness results of the solution for this initial-value problem are proven. The asymptotic stability of the temporal behavior for the obtained self-similar solution is established along with the spatial behavior of solutions at infinity. Moreover, it is shown that under some conditions the Loitsyansky integral plays the role of a conservation law.
[full text]
Keywords: homogeneous isotropic turbulence, Karman-Howarth equation, closure model, symmetries group, self-similar solution, initial-boundary value problem, solvability, asymptotic behavior
Author(s):
Grebenev V N
Dr.
Position: Senior Research Scientist
Office: Institute of computational technologies SB RAS
Address: 630090, Russia, Novosibirsk, prospect Akademika Lavrentyeva, 6
Phone Office: (383)3308570
E-mail: vova@lchd.ict.nsc.ru
Bibliography link:
Grebenev V.N. Decaying homogeneous isotropic turbulence in the limit of large Reynolds numbers // Computational technologies. 2011. V. 16. ¹ 5. P. 16-29
|
|
|
|
