2023-03-22T18:37:22Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:00026542
2023-01-16T04:45:49Z
673:674:675
Large-scale structure of velocity and passive scalar fields in freely decaying homogeneous anisotropic turbulence
Yoshimatsu, Katsunori
Kaneda, Yukio
open access
© 2018 American Physical Society
We consider freely decaying homogeneous anisotropic turbulence whose energy spectrum E(k) at k→0 is given by E(k)=Ck2+o(k2) at an initial instant, where k is the wave number and C is a k-independent positive number. An argument is given to show that there are an infinite number of invariants characterizing the large-scale structure of the turbulence. This is a generalization of Saffman's argument, which shows the existence of a finite number of invariants [P. G. Saffman, J. Fluid Mech. 27, 581 (1967)]. By applying a similar argument to homogeneous anisotropic passive scalar turbulence without any scalar source, we show that there are an infinite number of invariants characterizing the large-scale structure of passive scalar fields. Theoretical analysis based on the invariance and a self-similarity assumption for the large-scale evolution shows that the anisotropy of the velocity and passive scalar fields is persistent at large scales. The decay laws of the velocity and passive scalar fields are derived by a simple dimensional analysis.
American Physical Society
2018-10
eng
journal article
VoR
http://hdl.handle.net/2237/00028745
https://nagoya.repo.nii.ac.jp/records/26542
https://doi.org/10.1103/PhysRevFluids.3.104601
2469-990X
Physical Review Fluids
3
10
https://nagoya.repo.nii.ac.jp/record/26542/files/PhysRevFluids3_104601.pdf
application/pdf
277.3 kB
2018-10-25