PMID- 23214690
OWN - NLM
STAT- PubMed-not-MEDLINE
DCOM- 20130730
LR  - 20121211
IS  - 1550-2376 (Electronic)
IS  - 1539-3755 (Linking)
VI  - 86
IP  - 4 Pt 2
DP  - 2012 Oct
TI  - Local flow structure of turbulence in three, four, and five dimensions.
PG  - 046320
AB  - Probability density functions (PDF's) of the eigenvalues of the strain tensor of 
      an incompressible isotropic turbulence in 3, 4, and 5 dimensions are computed by 
      direct numerical simulation of Navier-Stokes equations. The PDF's of the smallest 
      (negative) eigenvalue are found to be wider than those of the other ones in all 
      dimensions and to be very insensitive to the dimension. In any dimension, the 
      eigenvalues other than the lowest one increase as the lowest one decreases, so 
      that they tend to be positive for the large magnitude of the lowest eigenvalue. 
      In such a situation the flow comes in along a single direction and comes out in 
      the other directions, which is consistent with the dynamics of the Burgers 
      turbulence in d dimensions. It is suggested that a driving motor of most 
      intermittent turbulent structure is the compression along a single direction. For 
      the velocity 2 form the conditional averages of the enstrophy and the total 
      squared strain in three dimensions are computed as functions of the smallest 
      eigenvalue and found to be monotonically increasing as the magnitude of the 
      smallest eigenvalue increases. Also, it is found that PDF of the source term of 
      the Poisson equation for the pressure is positively skewed but tends to be 
      symmetric with increase of the spatial dimension. Dimension effects on the 
      dynamics of the most compressible eigenvalue are argued.
FAU - Yamamoto, T
AU  - Yamamoto T
AD  - Department of Physics, Chuo University, 1-13-27 Kasuga, Bunkyo-ku, Tokyo 
      113-8851, Japan.
FAU - Shimizu, H
AU  - Shimizu H
FAU - Inoshita, T
AU  - Inoshita T
FAU - Nakano, T
AU  - Nakano T
FAU - Gotoh, T
AU  - Gotoh T
LA  - eng
PT  - Journal Article
PT  - Research Support, Non-U.S. Gov't
DEP - 20121022
PL  - United States
TA  - Phys Rev E Stat Nonlin Soft Matter Phys
JT  - Physical review. E, Statistical, nonlinear, and soft matter physics
JID - 101136452
EDAT- 2012/12/12 06:00
MHDA- 2012/12/12 06:01
CRDT- 2012/12/11 06:00
PHST- 2012/03/24 00:00 [received]
PHST- 2012/10/04 00:00 [revised]
PHST- 2012/12/11 06:00 [entrez]
PHST- 2012/12/12 06:00 [pubmed]
PHST- 2012/12/12 06:01 [medline]
AID - 10.1103/PhysRevE.86.046320 [doi]
PST - ppublish
SO  - Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Oct;86(4 Pt 2):046320. doi: 
      10.1103/PhysRevE.86.046320. Epub 2012 Oct 22.