Estimation of turbulence-development by a multifractal theory

Toshihico Arimitsu; Naoko Arimitsu; Kohei Takechi; Yukio Kaneda; Takashi Ishihara

Estimation of turbulence-development by a multifractal theory

Toshihico Arimitsu, Naoko Arimitsu, Kohei Takechi, Yukio Kaneda, Takashi Ishihara

Research output: Contribution to conference › Paper › peer-review

Abstract

It is shown for the first time how the degree of development in turbulence, i.e., if it is fully developed or if not how much developed, can be estimated by the multifractal theory called multifractal probability density function theory (MPDFT) [1]. Precise and self-consistent analyses of 4096³ DNS turbulence [2] by means of MPDFT reveal that the turbulence with R_λ = 675 is in the fully developed turbulent state, but that the one with R_λ = 1132 is not fully developed yet. The degree of turbulence-development of the latter is estimated.

Original language	English
Publication status	Published - Jan 1 2020
Event	14th European Turbulence Conference, ETC 2013 - Lyon, France Duration: Sept 1 2013 → Sept 4 2013

Conference

Conference	14th European Turbulence Conference, ETC 2013
Country/Territory	France
City	Lyon
Period	9/1/13 → 9/4/13

ASJC Scopus subject areas

Acoustics and Ultrasonics
Astronomy and Astrophysics
Atmospheric Science
Geophysics

Cite this

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title = "Estimation of turbulence-development by a multifractal theory",

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T1 - Estimation of turbulence-development by a multifractal theory

AU - Arimitsu, Toshihico

AU - Arimitsu, Naoko

AU - Takechi, Kohei

AU - Kaneda, Yukio

AU - Ishihara, Takashi

PY - 2020/1/1

Y1 - 2020/1/1

N2 - It is shown for the first time how the degree of development in turbulence, i.e., if it is fully developed or if not how much developed, can be estimated by the multifractal theory called multifractal probability density function theory (MPDFT) [1]. Precise and self-consistent analyses of 40963 DNS turbulence [2] by means of MPDFT reveal that the turbulence with Rλ = 675 is in the fully developed turbulent state, but that the one with Rλ = 1132 is not fully developed yet. The degree of turbulence-development of the latter is estimated.

AB - It is shown for the first time how the degree of development in turbulence, i.e., if it is fully developed or if not how much developed, can be estimated by the multifractal theory called multifractal probability density function theory (MPDFT) [1]. Precise and self-consistent analyses of 40963 DNS turbulence [2] by means of MPDFT reveal that the turbulence with Rλ = 675 is in the fully developed turbulent state, but that the one with Rλ = 1132 is not fully developed yet. The degree of turbulence-development of the latter is estimated.

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M3 - Paper

T2 - 14th European Turbulence Conference, ETC 2013

Y2 - 1 September 2013 through 4 September 2013

ER -

Estimation of turbulence-development by a multifractal theory

Abstract

Conference

ASJC Scopus subject areas

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