Change search
ReferencesLink to record
Permanent link

Direct link
Toward an asymptotic behaviour of the ABC dynamo
KTH, School of Engineering Sciences (SCI), Mechanics. Université Paris Diderot, France.
2015 (English)In: Europhysics letters, ISSN 0295-5075, E-ISSN 1286-4854, Vol. 110, no 1, 14003Article in journal (Refereed) Published
Abstract [en]

The ABC flow was originally introduced by Arnol'd to investigate Lagrangian chaos. It soon became the prototype example to illustrate magnetic-field amplification via fast dynamo action, i.e. dynamo action exhibiting magnetic-field amplification on a typical timescale independent of the electrical resistivity of the medium. Even though this flow is the most classical example for this important class of dynamos (with application to large-scale astrophysical objects), it was recently pointed out (Bouya Ismaël and Dormy Emmanuel, Phys. Fluids, 25 (2013) 037103) that the fast dynamo nature of this flow was unclear, as the growth rate still depended on the magnetic Reynolds number at the largest values available so far . Using state-of-the-art high-performance computing, we present high-resolution simulations (up to 40963) and extend the value of Rm up to 5·105. Interestingly, even at these huge values, the growth rate of the leading eigenmode still depends on the controlling parameter and an asymptotic regime is not reached yet. We show that the maximum growth rate is a decreasing function of for the largest values of we could achieve (as anticipated in the above-mentioned paper). Slowly damped oscillations might indicate either a new mode crossing or that the system is approaching the limit of an essential spectrum.

Place, publisher, year, edition, pages
2015. Vol. 110, no 1, 14003
National Category
Other Engineering and Technologies
URN: urn:nbn:se:kth:diva-166992DOI: 10.1209/0295-5075/110/14003ISI: 000355587200014ScopusID: 2-s2.0-84928604007OAI: diva2:813656

QC 20150525

Available from: 2015-05-25 Created: 2015-05-21 Last updated: 2015-06-25Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Bouya, Ismaël
By organisation
In the same journal
Europhysics letters
Other Engineering and Technologies

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 23 hits
ReferencesLink to record
Permanent link

Direct link