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Using eigenfunctions of the two‐point correlation function to study convection with multiple phase transformations
Author(s) -
King Scott D.,
Balachandar S.,
Ita Joel J.
Publication year - 1997
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/97gl00372
Subject(s) - eigenfunction , convection , correlation , function (biology) , point (geometry) , phase (matter) , flow (mathematics) , correlation function (quantum field theory) , statistical physics , mathematical analysis , mathematics , physics , mechanics , geometry , eigenvalues and eigenvectors , statistics , quantum mechanics , spectral density , evolutionary biology , biology
We describe and illustrate a new approach for extracting and understanding the pattern of flow in complex, time‐dependent convection. In this approach we calculate the eigenfunctions of the two‐point correlation function and show that the two‐point correlation can be efficiently characterized by the dominant few eigenmodes. We apply this methodology to extract structural information from convection models with two phase transformations.