### Abstract

A high-Reynolds-number turbulent flow subsumes several intermittent fields; some examples are the rates of dissipation of turbulent energy and scalar variance, square of turbulent vorticity and rate of strain, etc. These intermittent fields display different degrees of correlation among them. Motivated by the need for characterizing such coexisting distributions of intermittent fields in fully developed turbulence, the multifractal formalism which we have already found useful in describing such intermittent distributions singly is extended to more than one variable. The formalism is first illustrated by studying joint log-normal as well as joint binomial distributions. It is then applied to simultaneous measurements in several classical turbulent flows of the joint distribution of a component of the dissipation of kinetic energy, the dissipation rate of passive scalar variance, as well as the square of a component of turbulent vorticity. This allows simple but realistic models of simultaneous cascades of more than one variable to be developed.

Original language | English (US) |
---|---|

Pages (from-to) | 894-913 |

Number of pages | 20 |

Journal | Physical Review A |

Volume | 41 |

Issue number | 2 |

DOIs | |

State | Published - 1990 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics

### Cite this

*Physical Review A*,

*41*(2), 894-913. https://doi.org/10.1103/PhysRevA.41.894

**Joint multifractal measures : Theory and applications to turbulence.** / Meneveau, Charles; Sreenivasan, K. R.; Kailasnath, P.; Fan, M. S.

Research output: Contribution to journal › Article

*Physical Review A*, vol. 41, no. 2, pp. 894-913. https://doi.org/10.1103/PhysRevA.41.894

}

TY - JOUR

T1 - Joint multifractal measures

T2 - Theory and applications to turbulence

AU - Meneveau, Charles

AU - Sreenivasan, K. R.

AU - Kailasnath, P.

AU - Fan, M. S.

PY - 1990

Y1 - 1990

N2 - A high-Reynolds-number turbulent flow subsumes several intermittent fields; some examples are the rates of dissipation of turbulent energy and scalar variance, square of turbulent vorticity and rate of strain, etc. These intermittent fields display different degrees of correlation among them. Motivated by the need for characterizing such coexisting distributions of intermittent fields in fully developed turbulence, the multifractal formalism which we have already found useful in describing such intermittent distributions singly is extended to more than one variable. The formalism is first illustrated by studying joint log-normal as well as joint binomial distributions. It is then applied to simultaneous measurements in several classical turbulent flows of the joint distribution of a component of the dissipation of kinetic energy, the dissipation rate of passive scalar variance, as well as the square of a component of turbulent vorticity. This allows simple but realistic models of simultaneous cascades of more than one variable to be developed.

AB - A high-Reynolds-number turbulent flow subsumes several intermittent fields; some examples are the rates of dissipation of turbulent energy and scalar variance, square of turbulent vorticity and rate of strain, etc. These intermittent fields display different degrees of correlation among them. Motivated by the need for characterizing such coexisting distributions of intermittent fields in fully developed turbulence, the multifractal formalism which we have already found useful in describing such intermittent distributions singly is extended to more than one variable. The formalism is first illustrated by studying joint log-normal as well as joint binomial distributions. It is then applied to simultaneous measurements in several classical turbulent flows of the joint distribution of a component of the dissipation of kinetic energy, the dissipation rate of passive scalar variance, as well as the square of a component of turbulent vorticity. This allows simple but realistic models of simultaneous cascades of more than one variable to be developed.

UR - http://www.scopus.com/inward/record.url?scp=0001295349&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001295349&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.41.894

DO - 10.1103/PhysRevA.41.894

M3 - Article

VL - 41

SP - 894

EP - 913

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 2

ER -