TY - JOUR
T1 - Single flow snapshot reveals the future and the past of pairs of particles in turbulence
AU - Falkovich, Gregory
AU - Frishman, Anna
N1 - ISF; BSF; Russian Ministry of EducationThe work was supported by the Grants of ISF, BSF, and the Russian Ministry of Education.
PY - 2013/5/21
Y1 - 2013/5/21
N2 - We develop an analytic formalism and derive new exact relations that express the short-time dispersion of fluid particles via the single-time velocity correlation functions in homogeneous isotropic and incompressible turbulence. The formalism establishes a bridge between single-time Eulerian and long-time Lagrangian pictures of turbulent flows. In particular, we derive an exact formula for a short-term counterpart of the long-time Richardson law, and we identify a conservation law of turbulent dispersion which is true even in nonstationary turbulence.
AB - We develop an analytic formalism and derive new exact relations that express the short-time dispersion of fluid particles via the single-time velocity correlation functions in homogeneous isotropic and incompressible turbulence. The formalism establishes a bridge between single-time Eulerian and long-time Lagrangian pictures of turbulent flows. In particular, we derive an exact formula for a short-term counterpart of the long-time Richardson law, and we identify a conservation law of turbulent dispersion which is true even in nonstationary turbulence.
UR - http://www.scopus.com/inward/record.url?scp=84877969680&partnerID=8YFLogxK
U2 - https://doi.org/10.1103/PhysRevLett.110.214502
DO - https://doi.org/10.1103/PhysRevLett.110.214502
M3 - مقالة
SN - 0031-9007
VL - 110
JO - Physical review letters
JF - Physical review letters
IS - 21
M1 - 214502
ER -