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Related Experiment Videos

Effective dissipation and turbulence in spectrally truncated euler flows.

Cyril Cichowlas1, Pauline Bonaïti, Fabrice Debbasch

  • 1Laboratoire de Physique Statistique de l'Ecole Normale Supérieure, associé au CNRS et aux Universités, Paris VI et VII, France.

Physical Review Letters
|February 21, 2006
PubMed
Summary

A new transient regime was found in the 3D Euler equation, showing large-scale dissipative effects similar to Navier-Stokes equations and obeying Kolmogorov scaling.

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Area of Science:

  • Fluid dynamics
  • Computational physics

Background:

  • The 3D Euler equation describes inviscid fluid flow.
  • Understanding relaxation towards equilibrium is crucial in fluid dynamics.

Purpose of the Study:

  • To characterize a new transient regime in the 3D Euler equation.
  • To investigate large-scale dissipative effects in spectral truncation.

Main Methods:

  • Spectral truncation of the 3D Euler equation.
  • Calculation of dissipative effects using fluctuation-dissipation relations.

Main Results:

  • A new transient regime was identified.
  • Large-scale dissipative effects arise from thermalized modes.
  • The dynamics resemble high-Reynolds number Navier-Stokes equations.

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Conclusions:

  • The characterized transient regime exhibits approximate Kolmogorov scaling.
  • This finding offers insights into turbulence and energy dissipation in conservative systems.