2024-03-28T19:17:55Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:00030906
2023-01-16T04:40:15Z
320:2524:2544:2591
Statistical hydrodynamics for the burgers turbulence
Kuwabara, Shinzi
open access
Statistical hydrodynamics, which is the generalization of the classical statistical mechamics for the Hamiltonian dynamical system, is outlined (in I). Statistical hydrodynamics is much more complicated, because the hydrodynamical system has continuous, infinite degrees of freedom, although the Hamiltonian system has discrete, finite degrees of freedom. Three solution methods of the initial value problem for the Hopf equation, which is the basic epuation of statistical hydrodynamics, are proposed (in II, III and IV). They are applied to the Burgers turbulence, which is the simplified model turbulence of the Navier-Stokes real turbulence. Numerical calculations are carried out for some examples of the homogeneous turbulence, in which the initial energy spectra are chosen as the typical ones. The three methods are compared and criticized (in V).
Faculty of Engineering, Nagoya University
1979-03-31
eng
departmental bulletin paper
VoR
https://doi.org/10.18999/memfenu.30.2.245
http://hdl.handle.net/2237/00033091
https://nagoya.repo.nii.ac.jp/records/30906
10.18999/memfenu.30.2.245
0027-7657
Memoirs of the Faculty of Engineering, Nagoya University
30
2
245
288
https://nagoya.repo.nii.ac.jp/record/30906/files/30-2-03.pdf
application/pdf
2.2 MB
2020-11-24