An asymptotically exact reduced PDE model for the magnetorotational instability: derivation and numerical simulations

Details An asymptotically exact reduced PDE model for the magnetorotational instability: derivation and numerical simulations An asymptotically exact reduced PDE model for the magnetorotational instability: derivation and numerical simulations

Dec 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008phst..132a4027j&link_type=abstract

Physica Scripta, Volume 132, Issue , pp. 014027 (2008).

Astronomy and Astrophysics

Astrophysics

4

Scientific paper

Taking advantage of disparate spatio-temporal scales relevant to astrophysics and laboratory experiments, we derive asymptotically exact reduced partial differential equation models for the magnetorotational instability. These models extend recent single-mode formulations leading to saturation in the presence of weak dissipation, and are characterized by a back-reaction on the imposed shear. Numerical simulations performed for a broad class of initial conditions indicate an initial phase of growth dominated by the optimal (fastest growing) magnetorotational instability fingering mode, followed by a vertical coarsening to a box-filling mode.

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