Effective dissipation and turbulence in spectrally truncated euler flows |
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Authors: | Cichowlas Cyril Bonaïti Pauline Debbasch Fabrice Brachet Marc |
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Institution: | Laboratoire de Physique Statistique de l'Ecole Normale Supérieure, associé au CNRS et aux Universités, Paris VI et VII, France. |
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Abstract: | 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. |
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