Implementation of an Exponential Propagation Method to Numerically Solving the 2.5 D Stellar Dynamo Equations

Details Implementation of an Exponential Propagation Method to Numerically Solving the 2.5 D Stellar Dynamo Equations Implementation of an Exponential Propagation Method to Numerically Solving the 2.5 D Stellar Dynamo Equations

Jun 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006spd....37.1202m&link_type=abstract

American Astronomical Society, SPD meeting #37, #12.02; Bulletin of the American Astronomical Society, Vol. 38, p.240

Astronomy and Astrophysics

Astrophysics

Scientific paper

Magnetic fields in stars such as the Sun originate via a MHD dynamo mechanism working in their interior. A complete understanding of the dynamo mechanism, which involves complex and non-linear interactions between plasma flows and magnetic fields, remains an elusive and outstanding problem in Astrophysics. As an integral step in a study of stellar dynamos, part of a new MSU project entitled "Stars as Suns: Unraveling Long-term Solar Variability by Stellar Dynamo Modeling", a numerical solution for the 2D dynamo equations is being developed that uses an exponential propagation method, in which, the exponential is approximated using a projection into a Krylov subspace. As has been found in other work, this kind of numerical scheme presents a promising alternative to explicit schemes, since it is not subject to the CFL condition, and to implicit methods, since an iteration using the projection onto a Krylov subspace converges faster than an equivalent solution of the implicit formulation. Here, we outline our preliminary efforts towards developing this new numerical scheme for addressing the stellar dynamo problem.This research is supported by NASA Grant NNGO5GE47G to MSU.

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