Physics – Plasma Physics
Scientific paper
Nov 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004aps..dppjo2005t&link_type=abstract
American Physical Society, 46th Annual Meeting of the Division of Plasma Physics, 15-19 November, 2004, Savannah, GA. MEETING I
Physics
Plasma Physics
Scientific paper
We present a three-dimensional numerical MHD model of Caltech experiments on spheromak formation also related to the astrophysical jet collimation (Hsu and Bellan, Phys Rev Lett, 90, 215002 (2003); Mon Not R Astron Soc, 334, 257 (2002)). We will describe the initial and boundary conditions in the model which are designed to replicate the experimental setup and show the correspondence between the numerical and experimental parameters. Distinguishing features of the model include the novel formulation of the driving boundary conditions and the use of exponential propagation numerical methods for the time integration of the MHD equations. The plasma dynamics in these strongly driven experiments is found to have a critical dependence on time dependent boundary conditions. We describe the time dependent boundary conditions that involve calculation of tangential boundary magnetic field values from the prescribed flow profile at the boundary. In addition, we will briefly introduce the exponential propagation methods and demonstrate the advantages of these techniques by presenting performance comparisons with commonly used time integrators. Similarities and differences with respect to the experimental measurements will be discussed with particular attention to the parametric dependence of plasma dynamics and magnetic behavior.
Bellan Paul M.
Hsu Scott C.
Tokman Mayya
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