Modal time correlation functions for homogeneous isotropic turbulence in a projection operator method | Zendy

Makoto Okamura | Zendy

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Modal time correlation functions for homogeneous isotropic turbulence in a projection operator method

Author(s) -

Makoto Okamura

Publication year - 2015

Publication title -

physics of fluids

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.188

H-Index - 180

eISSN - 1089-7666

pISSN - 1070-6631

DOI - 10.1063/1.4919785

Subject(s) - eulerian path , isotropy , physics , homogeneous isotropic turbulence , turbulence , correlation function (quantum field theory) , mathematical analysis , operator (biology) , projection (relational algebra) , classical mechanics , statistical physics , flow (mathematics) , mathematics , direct numerical simulation , mechanics , lagrangian , mathematical physics , algorithm , quantum mechanics , biochemistry , chemistry , repressor , reynolds number , dielectric , transcription factor , gene

Applying a projection operator method to homogeneous isotropic turbulence in the Lagrangian and Eulerian specifications of the flow field, we obtain a closure equation, which is called the similarity approximation (SA) equation, for the time correlation function. We compare its solutions with the time correlation function obtained from direct numerical simulation in the Eulerian specification and with that obtained from direct interaction approximation in the Lagrangian specification. Results of the comparison show that the SA equation can express time correlation for homogeneous isotropic turbulence in the Lagrangian and Eulerian specifications.

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