Correlation triangle

From Glossary of Meteorology



correlation triangle

The set of all possible variances and covariances between velocities in the three Cartesian directions, defined for a specified statistical order or moment.

For example, the second moment correlation triangle is
ams2001glos-Ce45
ams2001glos-Ce46
ams2001glos-Ce47
where squared quantities are velocity variances and the other terms are covariances. For first-order turbulence closure parameterizations, all of the terms in the correlation triangle above represent unknowns, and must be approximated. For higher-order closure, larger triangles of unknowns would exist.


Copyright 2022 American Meteorological Society (AMS). For permission to reuse any portion of this work, please contact permissions@ametsoc.org. Any use of material in this work that is determined to be “fair use” under Section 107 of the U.S. Copyright Act (17 U.S. Code § 107) or that satisfies the conditions specified in Section 108 of the U.S.Copyright Act (17 USC § 108) does not require AMS’s permission. Republication, systematic reproduction, posting in electronic form, such as on a website or in a searchable database, or other uses of this material, except as exempted by the above statement, require written permission or a license from AMS. Additional details are provided in the AMS Copyright Policy statement.