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

研究成果 › 査読

1 被引用数 (Scopus)

抄録

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.

本文言語	English
ページ（範囲）	1075-1078
ページ数	4
ジャーナル	journal of the physical society of japan
巻	67
号	4
DOI	https://doi.org/10.1143/JPSJ.67.1075
出版ステータス	Published - 1998
外部発表	はい

ASJC Scopus subject areas

物理学および天文学（全般）

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10.1143/JPSJ.67.1075

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title = "Taylor Expansions and Pad{\'e} Approximations of Lagrangian and Eulerian Two-Time Velocity Correlations in Turbulence",

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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T1 - Taylor Expansions and Padé Approximations of Lagrangian and Eulerian Two-Time Velocity Correlations in Turbulence

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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JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

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ER -

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

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