Hall MHD computations of magnetic reconnection with a fully implicit 2 1/2 D nonlinear code

Details Hall MHD computations of magnetic reconnection with a fully implicit 2 1/2 D nonlinear code Hall MHD computations of magnetic reconnection with a fully implicit 2 1/2 D nonlinear code

May 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001agusm..sm31a06f&link_type=abstract

American Geophysical Union, Spring Meeting 2001, abstract #SM31A-06 INVITED

Physics

2700 Magnetospheric Physics, 2712 Electric Fields (2411), 2752 Mhd Waves And Instabilities, 2799 General Or Miscellaneous

Scientific paper

We have developed a fully implicit nonlinear Hall MHD code for magnetic reconnection studies. This code uses Jacobian free Newton-Krylov methods with a very efficient physics based preconditioner. In resistive MHD the code can run with time steps in excess of several hundred times the Alfven CFL limit; in Hall MHD it runs with time steps in excess of several hundred times the much more stringent quadratic whistler CFL limit. In both cases the only time step requirement is the actual time scale of the evolving fields. In the resistive MHD limit with a large guide field in the third (y) direction, results are shown on the nonlinear behavior of a tearing mode driven by parallel velocity shear[1]. In Hall MHD with zero initial guide field, we will show results benchmarking with the GEM challenge results[2] and with the flux bundle coalescence problem[3]. We also show new results on the effect of sheared (x-z) velocity on the reconnection rate as a function of the ion collisionless skin depth. [1] J. M. Finn, "New parallel velocity shear instability", Phys. Plasmas v.2, 4400 (1995). [2] J. Birn et al., "GEM magnetic reconnection challenge", submitted to GRL (2001). [3] D. Biskamp, E. Schwartz and J. F. Drake, Phys. Plasmas v.4, 1002 (1997).

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