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A proper orthogonal decomposition of a simulated supersonic shear layer
Author(s) -
Kirby M.,
Boris J. P.,
Sirovich L.
Publication year - 1990
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650100405
Subject(s) - supersonic speed , series (stratigraphy) , shear (geology) , mathematics , decomposition , set (abstract data type) , flow (mathematics) , scale (ratio) , basis (linear algebra) , computational fluid dynamics , proper orthogonal decomposition , mechanics , algorithm , statistical physics , geometry , turbulence , computer science , physics , geology , petrology , paleontology , ecology , quantum mechanics , biology , programming language
The Karhunen–Loève procedure is applied to the analysis of an ensemble of snapshots obtained from a conditionally sampled localized shear layer simulation. The computed set of optimal basis functions is used to economically characterize sampled flow realizations. Pictorially it is seen that the essential features (and roughly 80% of the energy) of typical flows are captured by retaining roughly 10–20 parameters in the expansion. Smaller‐scale features are resolved by retaining more terms in the series.