Dynamical structure factors in models of turbulence

F. Hayot; C. Jayaprakash

doi:10.1103/PhysRevE.57.R4867

Dynamical structure factors in models of turbulence

F. Hayot
, C. Jayaprakash

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

The exact equations for time-dependent structure functions in the one-dimensional stochastic Burgers equation is analyzed, showing how z = 1 arises. Various numerical checks of this result are presented. The corresponding exact equations for the structure functions in the case of the Navier-Stokes equation are also presented, and by analogy with the one-dimensional Burgers equations it is shown how Taylor's hypothesis can arise in homogeneous turbulence.

Original language	English
Pages (from-to)	R4867-R4870
Journal	Physical Review E
Volume	57
Issue number	5 -A
DOIs	https://doi.org/10.1103/PhysRevE.57.R4867
State	Published - May 1998
Externally published	Yes

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title = "Dynamical structure factors in models of turbulence",

abstract = "The exact equations for time-dependent structure functions in the one-dimensional stochastic Burgers equation is analyzed, showing how z = 1 arises. Various numerical checks of this result are presented. The corresponding exact equations for the structure functions in the case of the Navier-Stokes equation are also presented, and by analogy with the one-dimensional Burgers equations it is shown how Taylor's hypothesis can arise in homogeneous turbulence.",

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AU - Jayaprakash, C.

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AB - The exact equations for time-dependent structure functions in the one-dimensional stochastic Burgers equation is analyzed, showing how z = 1 arises. Various numerical checks of this result are presented. The corresponding exact equations for the structure functions in the case of the Navier-Stokes equation are also presented, and by analogy with the one-dimensional Burgers equations it is shown how Taylor's hypothesis can arise in homogeneous turbulence.

UR - https://www.scopus.com/pages/publications/0032069826

U2 - 10.1103/PhysRevE.57.R4867

DO - 10.1103/PhysRevE.57.R4867

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SP - R4867-R4870

JO - Physical Review E

JF - Physical Review E

IS - 5 -A

ER -

Dynamical structure factors in models of turbulence

Abstract

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