| Issue |
Europhys. Lett.
Volume 43, Number 6, September II 1998
|
|
|---|---|---|
| Page(s) | 671 - 676 | |
| Section | Classical areas of phenomenology | |
| DOI | https://doi.org/10.1209/epl/i1998-00415-5 | |
| Published online | 01 September 2002 | |
A coalescence model for freely decaying two-dimensional turbulence
Laboratoire de Physique (URA 1325 du CNRS), Ecole Normale Supérieure de Lyon, 69364 Lyon Cedex 07, France
Received:
9
March
1998
Accepted:
13
July
1998
We propose a ballistic coalescence model (punctuated-Hamiltonian approach)
mimicking the fusion
of vortices in freely decaying two-dimensional turbulence.
A temporal scaling behaviour is reached where the vortex density
evolves like 
. A mean-field analytical argument
yielding the approximation 
is shown to slightly overestimate
the decay exponent ξ whereas Molecular Dynamics simulations
give 
, in agreement with recent laboratory
experiments and simulations of Navier-Stokes equation.
PACS: 47.27.Eq – Turbulence simulation and modeling / 05.70.Ln – Nonequilibrium thermodynamics, irreversible processes / 02.70.Ns – Molecular dynamics and particle methods
© EDP Sciences, 1998
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