Effective dissipation and turbulence in spectrally truncated euler flows.
A new transient regime in the relaxation towards absolute equilibrium of the conservative and time-reversible 3D Euler equation with a high-wave-number spectral truncation is characterized. Large-scale dissipative effects, caused by the thermalized modes that spontaneously appear between a transition wave number and the maximum wave number, are calculated using fluctuation dissipation relations. The large-scale dynamics is found to be similar to that of high-Reynolds number Navier-Stokes equations and thus obeys (at least approximately) Kolmogorov scaling.
Laboratoire de Physique Statistique de l'Ecole Normale Supérieure, associé au CNRS et aux Universités, Paris VI et VII, France.
Cyril
C
Cichowlas
Pauline
P
Bonaïti
Fabrice
F
Debbasch
Marc
M
Brachet