The  assumption of joint Gaussian velocities as applied to the pressure structure function

Hill, Reginald J.

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The assumption of joint Gaussian velocities as applied to the pressure structure function

1994

By Hill, Reginald J.

Series: NOAA technical report ERL ; 451

[PDF-667.20 KB]

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Personal Author:

Hill, Reginald J.

Corporate Authors:

Environmental Technology Laboratory (Environmental Research Laboratories)

NOAA Program & Office:

OAR (Oceanic and Atmospheric Research)

Description:

The 1951 theory of the pressure structure function used the assumption of joint Gaussian velocities to obtain tracta~le results. That theory has recently been replaced by a new theory that does not use this assumption. The relationships between formulas from the two theories are given. It is shown that combining the new theory with the joint Gaussian assumption (JGA) produces the 1951 theory. Formulas for the pressure structure function and the pressure-gradient correlation are given, as are asymptotic formulas for the inertial and dissipation ranges. The values of constants and parameters in the new theory are evaluated using the JGA. The incompatibility of intermittency with the JGA causes the 1951 theory to have an opposite intennittency correction to inertial-range exponents as compared with the new theory.

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Series:

NOAA technical report ERL ; 451 ; NOAA technical report ERL. 66 ETL

Document Type:

Technical Report

Funding:

Funding: Supported by ONR.; grant number: N00014-93-F-0038;

Rights Information:

Public Domain

Compliance:

Library

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https://repository.library.noaa.gov/view/noaa/11325/noaa_11325_DS1.pdf

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The assumption of joint Gaussian velocities as applied to the pressure structure function

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