4.6 Article

Identifying the multifractal set on which energy dissipates in a turbulent Navier-Stokes fluid

Related references

Note: Only part of the references are listed.
Article Multidisciplinary Sciences

A correspondence between the multifractal model of turbulence and the Navier-Stokes equations

B. Dubrulle et al.

Summary: The multifractal model of turbulence and the three-dimensional Navier-Stokes equations are blended together using probabilistic scaling arguments. This prevents solutions from approaching the Navier-Stokes singular set, which is significant.

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2022)

Article Physics, Fluids & Plasmas

Characterizing most irregular small-scale structures in turbulence using local Holder exponents

F. Nguyen et al.

PHYSICAL REVIEW E (2020)

Article Mechanics

Beyond Kolmogorov cascades

Berengere Dubrulle

JOURNAL OF FLUID MECHANICS (2019)

Article Physics, Multidisciplinary

Extreme velocity gradients in turbulent flows

Dhawal Buaria et al.

NEW JOURNAL OF PHYSICS (2019)

Article Physics, Fluids & Plasmas

Local estimates of Holder exponents in turbulent vector fields

F. Nguyen et al.

PHYSICAL REVIEW E (2019)

Article Physics, Multidisciplinary

Lagrangian statistics for Navier-Stokes turbulence under Fourier-mode reduction: fractal and homogeneous decimations

Michele Buzzicotti et al.

NEW JOURNAL OF PHYSICS (2016)

Article Physics, Fluids & Plasmas

Energy spectrum in high-resolution direct numerical simulations of turbulence

Takashi Ishihara et al.

PHYSICAL REVIEW FLUIDS (2016)

Article Mechanics

Vorticity moments in four numerical simulations of the 3D Navier-Stokes equations

Diego A. Donzis et al.

JOURNAL OF FLUID MECHANICS (2013)

Article Mechanics

Study of High–Reynolds Number Isotropic Turbulence by Direct Numerical Simulation

Takashi Ishihara et al.

Annual Review of Fluid Mechanics (2008)

Article Physics, Multidisciplinary

Energy and enstrophy dissipation in steady state 2d turbulence

Alexandros Alexakis et al.

PHYSICS LETTERS A (2006)

Article Physics, Multidisciplinary

Lessons from hydrodynamic turbulence

G Falkovich et al.

PHYSICS TODAY (2006)

Article Physics, Multidisciplinary

Intermittency of velocity time increments in turbulence -: art. no. 064501

L Chevillard et al.

PHYSICAL REVIEW LETTERS (2005)

Article Mathematics

L3,∞-solutions of the Navier-Stokes equations and backward uniqueness

L Escauriaza et al.

RUSSIAN MATHEMATICAL SURVEYS (2003)

Article Mechanics

Energy dissipation in body-forced turbulence

CR Doering et al.

JOURNAL OF FLUID MECHANICS (2002)