Subcritical dynamo bifurcation in the Taylor Green flow
Yannick Ponty (OCA), Jean-Phillipe Laval (LML), Berengere Dubrulle, (SPEC), Fran\c{c}ois Daviaud (SPEC), Jean-Fran\c{c}ois Pinton (Phys-ENS)
TL;DR
This paper presents direct numerical simulations demonstrating a subcritical dynamo bifurcation in Taylor-Green flow, highlighting hysteresis, flow modifications by Lorentz force, and external field effects.
Contribution
It reveals the subcritical nature of the dynamo bifurcation in Taylor-Green flow and links hysteresis to hydrodynamic changes caused by Lorentz forces.
Findings
Bifurcation is subcritical with hysteresis.
Lorentz force alters flow hydrodynamics.
External magnetic fields can induce dynamo transition.
Abstract
We report direct numerical simulations of dynamo generation for flow generated using a Taylor-Green forcing. We find that the bifurcation is subcritical, and show its bifurcation diagram. We connect the associated hysteretic behavior with hydrodynamics changes induced by the action of the Lorentz force. We show the geometry of the dynamo magnetic field and discuss how the dynamo transition can be induced when an external field is applied to the flow.
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Taxonomy
TopicsGeomagnetism and Paleomagnetism Studies · Aeolian processes and effects · Fluid dynamics and aerodynamics studies