ON THE STATISTICAL PROPERTIES OF THE 3D INCOMPRESSIBLE NAVIER-STOKES-VOIGT MODEL

abstract

• The Navier-Stokes-Voigt (NSV) model of viscoelastic incompressible fluid has been recently proposed as a regularization of the 3D Navier-Stokes equations for the purpose of direct numerical simulations. In this work we investigate its statistical properties by employing phenomenological heuristic arguments, in combination with Sabra shell model simulations of the analogue of the NSV model. For large values of the regularizing parameter, compared to the Kolmogorov length scale, simulations exhibit multiscaling inertial range, and the dissipation range displaying low intermittency. These facts provide evidence that the NSV regularization may reduce the stiffness of direct numerical simulations of turbulent flows, with a small impact on the energy containing scales. 2010 International Press.

authors

• Titi, Edriss

published proceedings

• COMMUNICATIONS IN MATHEMATICAL SCIENCES

author list (cited authors)

• Levant, B., Ramos, F., & Titi, E. S.

citation count

• 39

complete list of authors

• Levant, Boris||Ramos, Fabio||Titi, Edriss S

publication date

• January 2010

publisher

• International Press of Boston  Publisher

published in

• COMMUNICATIONS IN MATHEMATICAL SCIENCES  Journal

keywords

• Dynamic Models
• Navier-stokes Equations
• Navier-stokes-voight Equations
• Navier-stokes-voigt Equations
• Regularization Of The Navier-stokes Equations
• Shell Models
• Turbulence Models
• Viscoelastic Models

Digital Object Identifier (DOI)

• 10.4310/cms.2010.v8.n1.a14

start page

• 277

end page

• 293

volume

• 8

issue

• 1

URL

• http%3A%2F%2Fdx.doi.org%2F10.4310%2Fcms.2010.v8.n1.a14