Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2003-09-08
Nonlinear Sciences
Chaotic Dynamics
latex, 35 pages
Scientific paper
10.1023/B:JOSS.0000041740.90705.
We consider the compressible Kraichnan model of turbulent advection with small molecular diffusivity and velocity field regularized at short scales to mimic the effects of viscosity. As noted in ref.[5], removing those two regularizations in two opposite orders for intermediate values of compressibility gives Lagrangian flows with quite different properties. Removing the viscous regularization before diffusivity leads to the explosive separation of trajectories of fluid particles whereas turning the regularizations off in the opposite order results in coalescence of Lagrangian trajectories. In the present paper we re-examine the situation first addressed in ref.[6] in which the Prandtl number is varied when the regularizations are removed. We show that an appropriate fine-tuning leads to a sticky behavior of trajectories which hit each other on and off spending a positive amount of time together. We examine the effect of such a trajectory behavior on the passive transport showing that it induces anomalous scaling of the stationary 2-point structure function of an advected tracer and influences the rate of condensation of tracer energy in the zero wavenumber mode.
Gawedzki Krzysztof
Horvai Peter
No associations
LandOfFree
Sticky behavior of fluid particles in the compressible Kraichnan model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Sticky behavior of fluid particles in the compressible Kraichnan model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Sticky behavior of fluid particles in the compressible Kraichnan model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-47883