On the asymptotic behavior of average energy and enstrophy in 3D turbulent flows

DOI10.1016/j.physd.2009.01.008zbMath1160.37419OpenAlexW2063094125MaRDI QIDQ1016252

Ciprian Foias, Michael S. Jolly, Radu Dascaliuc

Publication date: 5 May 2009

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2009.01.008

zbMATH Keywords

Navier-Stokes equationsturbulenceenergy cascade

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Navier-Stokes equations (35Q30) Stability problems for infinite-dimensional dissipative dynamical systems (37L15)

Related Items (8)

On energy cascades in the forced 3D Navier-Stokes equations ⋮ Convergence analysis of a viscosity parameter recovery algorithm for the 2D Navier–Stokes equations ⋮ Energy spectra and passive tracer cascades in turbulent flows ⋮ 3D shear flows driven by Lévy noise at the boundary ⋮ Absence of anomalous dissipation of energy in forced two dimensional fluid equations ⋮ Dissipation length scale estimates for turbulent flows: a Wiener algebra approach ⋮ Variations on Kolmogorov flow: turbulent energy dissipation and mean flow profiles ⋮ On the long time behavior of time relaxation model of fluids

Cites Work

• Some results on the Navier-Stokes equations in connection with the statistical theory of stationary turbulence.
• Some specific mathematical constraints on 2D turbulence
• A deterministic forcing scheme for direct numerical simulations of turbulence
• Kolmogorov theory via finite-time averages
• Estimates for the energy cascade in three-dimensional turbulent flows
• From global scaling, à la Kolmogorov, to local multifractal scaling in fully developed turbulence
• The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers
• Energy dissipation rate and energy spectrum in high resolution direct numerical simulations of turbulence in a periodic box
• Some specific features of atmospheric tubulence
• Energy dissipation in body-forced turbulence
• Applied Analysis of the Navier-Stokes Equations
• "Statistical Models and Turbulence": Comments on Turbulence and a Report on the Satellite Symposium
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