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Elastic waves and transition to elastic turbulence in a two-dimensional viscoelastic Kolmogorov flow

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2010
auteur(s) Berti Stefano; Boffetta Guido
journal (abréviation) Physical Review E (Phys Rev E)
volume (numéro) 82 (3)
numéro de papier 036314
  
résumé We investigate the dynamics of the two-dimensional periodic Kolmogorov flow of a viscoelastic fluid, described by the Oldroyd-B model, by means of direct numerical simulations. Above a critical Weissenberg number the flow displays a transition from stationary to randomly fluctuating states, via periodic ones. The increasing complexity of the flow in both time and space at progressively higher values of elasticity accompanies the establishment of mixing features. The peculiar dynamical behavior observed in the simulations is found to be related to the appearance of filamental propagating patterns, which develop even in the limit of very small inertial nonlinearities, thanks to the feedback of elastic forces on the flow.
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