A class of exact solutions of the Navier-Stokes equations is introduced to model the fine-scale, tubular structures of isotropic turbulence. The model vortices exhibit slow algebraic fall-off of the induced velocity, and accurately reproduce the velocity signatures observed in DNS and experiments. The proposed model has interesting implications for the theoretical analysis of turbulence, supporting the view that the inertial range energy scaling may have a link with the near-singular velocity field induced by vortex tubes produced by the roll-up of vortex sheets. © 2009 Springer-Verlag.
A structural model for the vortex tubes of isotropic turbulence / Pirozzoli, Sergio. - In: THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS. - ISSN 0935-4964. - 23:1(2009), pp. 55-62. [10.1007/s00162-009-0092-y]
A structural model for the vortex tubes of isotropic turbulence
PIROZZOLI, Sergio
2009
Abstract
A class of exact solutions of the Navier-Stokes equations is introduced to model the fine-scale, tubular structures of isotropic turbulence. The model vortices exhibit slow algebraic fall-off of the induced velocity, and accurately reproduce the velocity signatures observed in DNS and experiments. The proposed model has interesting implications for the theoretical analysis of turbulence, supporting the view that the inertial range energy scaling may have a link with the near-singular velocity field induced by vortex tubes produced by the roll-up of vortex sheets. © 2009 Springer-Verlag.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
