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

Yukio Kaneda; Koji Gotoh; Takashi Ishihara

doi:10.1143/JPSJ.67.1075

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 journal › Article › peer-review

2 Citations (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 language	English
Pages (from-to)	1075-1078
Number of pages	4
Journal	journal of the physical society of japan
Volume	67
Issue number	4
DOIs	https://doi.org/10.1143/JPSJ.67.1075
Publication status	Published - 1998
Externally published	Yes

Keywords

Eulerian and Lagrangian two-time correlations
Padé approximation
Taylor expansions

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1143/JPSJ.67.1075

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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 Pad{\'e} approximations are constructed from the time-derivatives. The Pad{\'e} approximations are found to be in good agreement with direct numerical simulations.",

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author = "Yukio Kaneda and Koji Gotoh and Takashi Ishihara",

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AU - Kaneda, Yukio

AU - Gotoh, Koji

AU - Ishihara, Takashi

PY - 1998

Y1 - 1998

N2 - 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.

AB - 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.

KW - Eulerian and Lagrangian two-time correlations

KW - Padé approximation

KW - Taylor expansions

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

Abstract

Keywords

ASJC Scopus subject areas

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