Statistics – Computation
Scientific paper
May 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aas...21641009e&link_type=abstract
American Astronomical Society, AAS Meeting #216, #410.09; Bulletin of the American Astronomical Society, Vol. 41, p.819
Statistics
Computation
Scientific paper
We have performed numerical simulations of the Madison Plasma Couette Flow Experiment (MPCX) using the extended MHD code NIMROD (nimrodteam.org). The plasma Couette flow experiment has recently been constructed at UW-Madison to study magnetorotational instability (MRI) in a hot, unmagnetized and fast flowing plasma. Plasma is confined by a strong multipole magnetic field at the plasma surface, and it rotates through the generated toroidal ExB flow at the boundaries. As proof of principle we first numerically obtain an experimentally relevant flow, a Taylor-Couette flow generated by tangential electric field using the boundary condition ExB. Two-fluid Hall effect which is relevant to some astrophysical situations such as protostellar disks is also expected to be important in the MPCX. We extend the MHD model by including the Hall term both in linear and nonlinear MRI computations. Global linear stability analysis of MRI is numerically investigated both in MHD and Hall-MHD regimes for a range of magnetic Prandtl and magnetic Reynolds numbers. We find that in all cases the MHD stability limit is affected by the Hall term depending on the sign of the product of the components of the angular velocity and magnetic field along the perturbation wavenumber, as predicted by the earlier local linear studies. Global modal structure of MRI with Hall term is investigated and compared with the local approximations. Preliminary results of possible self-generation of the magnetic field by MRI-driven turbulence in the MPCX configuration will also be presented. This work is supported by NSF.
Bhattacharjee Anirban
Ebrahimi Fatima
Forest Cary
Lefebvre Bertrand
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