Reynolds number dependence of Lagrangian statistics in large numerical simulations of isotropic turbulence

@article{yeung06, abstract = {Lagrangian statistics are reported from a direct numerical simulation database with grid resolution up to 20483 and Taylor-scale Reynolds number approximately 650. The approach to Lagrangian Kolmogorov similarity at high Reynolds number is studied using both the velocity structure function and frequency spectrum. A significant scaling range is observed for the latter which is consistent with recent estimates of 6-7 for the scaling constant C0. In contrast to some previous results at low Reynolds number, the current results suggest that at high Reynolds number the dissipation autocorrelation is a two-scale process influenced by both the Lagrangian velocity integral time scale and Kolmogorov time scale. Results on the logarithm of the pseudo-dissipation are in support of its modeling as a diffusion process with one-time Gaussian statistics. As the Reynolds number increases, the statistics of dissipation and enstrophy become more similar while their logarithms have significantly longer time scales.}, author = {Yeung, P. K. and Pope, S. P. and Sawford, B. L. }, citeulike-article-id = {1394397}, journal = {J. of Turbulence}, posted-at = {2007-06-16 17:54:52}, priority = {5}, title = {Reynolds number dependence of Lagrangian statistics in large numerical simulations of isotropic turbulence}, url = {http://www.informaworld.com/smpp/content?content=10.1080/14685240600868272\#8058512472016103854}, volume = {7}, year = {2006} }

TY - JOUR ID - yeung06 L3 - citeulike-article-id:1394397 TI - Reynolds number dependence of Lagrangian statistics in large numerical simulations of isotropic turbulence JF - J. of Turbulence VL - 7 N2 - Lagrangian statistics are reported from a direct numerical simulation database with grid resolution up to 20483 and Taylor-scale Reynolds number approximately 650. The approach to Lagrangian Kolmogorov similarity at high Reynolds number is studied using both the velocity structure function and frequency spectrum. A significant scaling range is observed for the latter which is consistent with recent estimates of 6-7 for the scaling constant C0. In contrast to some previous results at low Reynolds number, the current results suggest that at high Reynolds number the dissipation autocorrelation is a two-scale process influenced by both the Lagrangian velocity integral time scale and Kolmogorov time scale. Results on the logarithm of the pseudo-dissipation are in support of its modeling as a diffusion process with one-time Gaussian statistics. As the Reynolds number increases, the statistics of dissipation and enstrophy become more similar while their logarithms have significantly longer time scales. AU - Yeung, PK AU - Pope, SP AU - Sawford, BL PY - 2006/// UR - http://www.informaworld.com/smpp/content?content=10.1080/14685240600868272#8058512472016103854 ER -