Spectral modeling of rotating turbulent flows

• Autores: Baerenzung, J.; Mininni, P.D.; Pouquet, A.; Politano, H.; Ponty, Y.
• Año de publicación: 2010
• Idioma: inglés
• Tipo de recurso: artículo
• Fuente: Phys. Fluids 2010;22(2):1-13
• Materia: Counter rotating; Degree of anisotropy; Eddy viscosity; Eddy viscosity model; Energy spectra; Helicities; Isotropic models; Isotropic turbulence; Parametrizations; Rossby numbers; Scale properties; Small scale; Spectral modeling; Spectral models; Subgrid scale; Under-resolved DNS; Earth atmosphere; Internet protocols; Reynolds number; Rotation; Spectroscopy; Three dimensional; Turbulent flow; Viscosity; Rotating disks
• Institución: Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales

A subgrid-scale spectral model of rotating turbulent flows is tested against direct numerical simulations (DNSs). The case of Taylor-Green forcing is considered, a configuration that mimics the flow between two counter-rotating disks as often used in the laboratory. Computations are performed for moderate rotation down to Rossby numbers of 0.03, as can be encountered in the Earth's atmosphere. We provide several measures of the degree of anisotropy of the small scales and conclude that an isotropic model may suffice at moderate Rossby number. The model, developed previously [J. Baerenzung, H. Politano, Y. Ponty, and A. Pouquet, "Spectral modeling of turbulent flows and the role of helicity," Phys. Rev. E77, 046303 (2008)], incorporates eddy viscosity and eddy noise that depend dynamically on the index of the energy spectrum. We show that the model reproduces satisfactorily all large-scale properties of the DNS up to Reynolds numbers of ~104 and for long times after the onset of the inverse cascade of energy; it is also shown to behave better than either the Chollet-Lesieur eddy viscosity model [J. P. Chollet and M. Lesieur, "Parametrization of small scales of three-dimensional isotropic turbulence utilizing spectral closures," J. Atmos. Sci.38, 2747 (1981)] or an under-resolved DNS. © 2010 American Institute of Physics.
Fil:Mininni, P.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.