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MODELING THE STRUCTURE FUNCTIONS IN LINEARLY FORCED ISOTROPIC TURBULENCE

Evangelos E. Akylas
Department of Civil Engineering and Geomatics, Cyprus University of Technology, P.O. Box 50329, 3603, Limassol, Cyprus

Elias Gravanis
Department of Civil Engineering and Geomatics Cyprus University of Technology, Limassol, Cyprus

Marios Fyrillas
Department of Mechanical Engineering, Frederick University, Nicosia, Cyprus

Damian W. I. Rouson
Sandia National Laboratories, Livermore, CA 94550, United States

Stavros C. Kassinos
Department of Mechanical Engineering Stanford University Stanford, California 94305 USA; Department of Mechanical and Manufacturing Engineering, Computational Sciences Laboratory, UCY-COMPSCI University of Cyprus, Nicosia, Cyprus

Аннотация

The physics of the linear forcing of isotropic turbulence, allows for some useful estimates of the characteristic length scales of the turbulence produced during the statistically stationary phase. With such estimates we could practically define uniquely the stationary statistics by means of the box-size of the simulation, the linear forcing parameter and the viscosity of each case. We use such estimations in the Karman-Howarth equation and we solve it in terms of the second and third order structure functions using a generalized Oberlack-Peters closure scheme. The resulting forms and the respective spectra are in very good agreement with experimental and DNS data.