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Representation of Isotropic Turbulence by Scalar Functions
Author(s) -
Orszag Steven A.
Publication year - 1969
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1969483275
Subject(s) - scalar (mathematics) , isotropy , turbulence , representation (politics) , mathematical physics , wave vector , physics , mathematics , mathematical analysis , wavenumber , cumulant , classical mechanics , quantum mechanics , geometry , mechanics , statistics , law , politics , political science
The maximum number N ( n ) of scalar functions of wavevector needed to represent the general cumulant of order n of isotropic turbulence is determined. In addition to reproducing the known results that N (2) = 1, N (3) = 2, it is shown that N (4) = 4, N (5) = 4, N (6) = 9, etc.