The time-derivatives up to the 6th-order of Eulerian and Lagrangian velocity fields in homogeneous and isotropic turbulence are computed. The Taylor expansions in powers of the time difference of the Eulerian as well as the Lagrangian two-time velocity correlations, and their Padé approximations are constructed from the time-derivatives. The Padé approximations are found to be in good agreement with direct numerical simulations.
- Eulerian and Lagrangian two-time correlations
- Padé approximation
- Taylor expansions
ASJC Scopus subject areas
- Physics and Astronomy(all)