Axial dipolar dynamo action in the Taylor-Green vortex

Details Axial dipolar dynamo action in the Taylor-Green vortex Axial dipolar dynamo action in the Taylor-Green vortex

2011-09-19

arxiv.org/abs/1109.4063v2

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

We present a numerical study of the magnetic field generated by the Taylor-Green vortex. We show that periodic boundary conditions can be used to mimic realistic boundary conditions by prescribing the symmetries of the velocity and magnetic fields. This gives insight in some problems of central interest for dynamos: the possible effect of velocity fluctuations on the dynamo threshold, the role of boundary conditions on the threshold and on the geometry of the magnetic field generated by dynamo action. In particular, we show that an axial dipolar dynamo similar to the one observed in a recent experiment can be obtained with an appropriate choice of the symmetries of the magnetic field. The nonlinear saturation is studied and a simple model explaining the magnetic Prandtl number dependence of the super/sub critical nature of the dynamo transition is given.

Affiliated with

Also associated with

No associations

Rating

Axial dipolar dynamo action in the Taylor-Green vortex 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 Axial dipolar dynamo action in the Taylor-Green vortex, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Axial dipolar dynamo action in the Taylor-Green vortex will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-97091