Anomalous scaling and refined similarity of an active scalar in a shell model of homogeneous turbulent convection
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AbstractAnomalous scaling in the statistics of an active scalar is studied in a shell model of homogeneous turbulent convection. We extend refined similarity ideas for homogeneous and isotropic turbulence to homogeneous turbulent convection and attribute the origin of the anomalous scaling to variations of the entropy transfer rate. We verify the consequences and thus the validity of our hypothesis by showing that the conditional statistics of the active scalar and the velocity at fixed values of entropy transfer rate are not anomalous but have simple scaling with exponents given by dimensional considerations, and that the intermittency corrections are given by the scaling exponents of the moments of the entropy transfer rate.
All Author(s) ListChing ESC, Cheng WC
Journal namePhysical Review E
Year2008
Month1
Day1
Volume Number77
Issue Number1
PublisherAMER PHYSICAL SOC
ISSN1539-3755
eISSN1550-2376
LanguagesEnglish-United Kingdom
Web of Science Subject CategoriesPhysics; Physics, Fluids & Plasmas; PHYSICS, FLUIDS & PLASMAS; Physics, Mathematical; PHYSICS, MATHEMATICAL

Last updated on 2020-15-09 at 03:08