Factorized cumulant expansion for homogeneous turbulence

Autor:	Toshifumi Takei, Michio Yamada, Tomomasa Tatsumi
Rok vydání:	1986
Předmět:	Fluid Flow and Transfer Processes Closed set Factorization Skewness Mechanical Engineering Mathematical analysis General Physics and Astronomy Function (mathematics) Derivative System of linear equations Enstrophy Cumulant Mathematics
Zdroj:	Fluid Dynamics Research. 1:59-75
ISSN:	1873-7005 0169-5983
DOI:	10.1016/0169-5983(86)90007-9
Popis:	A factorization approximation is introduced to the cumulant expansion of the characteristic functional for homogeneous turbulence. Under this approximation, an arbitrary nth order cumulant C(n) is expressed in terms of the cumulants C(2), C(3) and C(n-1), and thus we obtain a closed but untruncated system of equations for the cumulants. Using the factorized fourth-cumulant approximation, a closed set of equations for the energy spectrum function E(k,t) and the energy transfer function T(k,t) is derived. These equations are solved numerically and the similarity laws of the solutions are derived analytically. The statistical quantities such as the energy, the enstrophy, Taylor's microscale and the skewness of the velocity derivative are calculated numerically and the statistical laws of these quantities are discussed.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::88871a752bc29c83b083dbbc0de7760c https://doi.org/10.1016/0169-5983(86)90007-9 Zobrazit plný text záznamu