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Magnetic field evolution in simulations with Euler potentials
Stockholms universitet, Naturvetenskapliga fakulteten, Institutionen för astronomi.ORCID-id: 0000-0002-7304-021X
2010 (engelsk)Inngår i: Monthly notices of the Royal Astronomical Society, ISSN 0035-8711, E-ISSN 1365-2966, Vol. 401, nr 1, s. 347-354Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

Using two- and three-dimensional hydromagnetic simulations for a range of different flows, including laminar and turbulent ones, it is shown that solutions expressing the field in terms of Euler potentials (EP) are in general incorrect if the EP are evolved with an artificial diffusion term. In three dimensions, standard methods using the magnetic vector potential are found to permit dynamo action when the EP give decaying solutions. With an imposed field, the EP method yields excessive power at small scales. This effect is more exaggerated in the dynamic case, suggesting an unrealistically reduced feedback from the Lorentz force. The EP approach agrees with standard methods only at early times when magnetic diffusivity did not have time to act. It is demonstrated that the usage of EP with even a small artificial magnetic diffusivity does not converge to a proper solution of hydromagnetic turbulence. The source of this disagreement is not connected with magnetic helicity or the three-dimensionality of the magnetic field, but is simply due to the fact that the non-linear representation of the magnetic field in terms of EP that depend on the same coordinates is incompatible with the linear diffusion operator in the induction equation.

sted, utgiver, år, opplag, sider
2010. Vol. 401, nr 1, s. 347-354
Emneord [en]
hydrodynamics, magnetic fields, MHD, turbulence
HSV kategori
Identifikatorer
URN: urn:nbn:se:su:diva-36129DOI: 10.1111/j.1365-2966.2009.15640.xISI: 000272867100046OAI: oai:DiVA.org:su-36129DiVA, id: diva2:288830
Tilgjengelig fra: 2010-01-22 Laget: 2010-01-22 Sist oppdatert: 2022-03-09bibliografisk kontrollert

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