TY - JOUR
T1 - A statistical model of strains in homogeneous and isotropic turbulence
AU - Pinsky, Mark
AU - Shapiro, Michael
AU - Khain, Alexander
AU - Wirzberger, Hod
N1 - Funding Information:
This study was partially supported by the Israel Science Foundation founded by the Israel Academy of Sciences and Humanities (grant 173/03) and by the Fund for Promotion of Research at the Technion.
PY - 2004/5/1
Y1 - 2004/5/1
N2 - A statistical model of strains obeying the Kolmogorov laws in homogeneous and isotropic turbulence is proposed. For given dissipation rate, skewness and flatness the model allows to efficiently generate all components of turbulent strains, thereby simulating turbulent velocity field at time scales below 0.2s and length scales ranging between the Kolmogorov and inertial scales. The verification test showed that the model successfully reproduces PDF of strains reported in literature, PDF of the total dissipation rate, as well as the PDF of single squared velocity derivatives. The log-normal distribution of the dissipation rate is reproduced in case when effects of turbulent intermittency (skewness and flatness of the PDF of strains) were taken into account. The model has been shown efficient for investigation of motion and collisions of inertial spherical and non-spherical atmospheric particles. Computer codes of the model are available on request.
AB - A statistical model of strains obeying the Kolmogorov laws in homogeneous and isotropic turbulence is proposed. For given dissipation rate, skewness and flatness the model allows to efficiently generate all components of turbulent strains, thereby simulating turbulent velocity field at time scales below 0.2s and length scales ranging between the Kolmogorov and inertial scales. The verification test showed that the model successfully reproduces PDF of strains reported in literature, PDF of the total dissipation rate, as well as the PDF of single squared velocity derivatives. The log-normal distribution of the dissipation rate is reproduced in case when effects of turbulent intermittency (skewness and flatness of the PDF of strains) were taken into account. The model has been shown efficient for investigation of motion and collisions of inertial spherical and non-spherical atmospheric particles. Computer codes of the model are available on request.
KW - Isotropic turbulence
KW - Strain
UR - http://www.scopus.com/inward/record.url?scp=1842736102&partnerID=8YFLogxK
U2 - 10.1016/j.physd.2003.12.008
DO - 10.1016/j.physd.2003.12.008
M3 - 文章
AN - SCOPUS:1842736102
SN - 0167-2789
VL - 191
SP - 297
EP - 313
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
IS - 3-4
ER -