Taylor Expansions and Padé Approximations of Lagrangian and Eulerian Two-Time Velocity Correlations in Turbulence

Yukio Kaneda, Koji Gotoh, Takashi Ishihara

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1075-1078
Number of pages4
Journaljournal of the physical society of japan
Volume67
Issue number4
DOIs
Publication statusPublished - 1998
Externally publishedYes

Keywords

  • Eulerian and Lagrangian two-time correlations
  • Padé approximation
  • Taylor expansions

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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