Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: FINMHD: an adaptive finite element code for magnetic reconnection and
  plasmoid chains formation in Magnetohydrodynamics   Solving the problem of fast eruptive events in magnetically dominated
astrophysical plasmas requires the use of particularly well adapted numerical
tools. Indeed, the central mechanism based on magnetic reconnection is
determined by a complex behavior with quasi-singular forming current layers
enriched by their associated small scale magnetic islands called plasmoids. A
new code for the solution of two dimensional dissipative magnetohydrodynamics
(MHD) equations in cartesian geometry specifically developed to this end is
thus presented. A current-vorticity formulation representative of an
incompressible model is chosen in order to follow the formation of the current
sheets and the ensuing magnetic reconnection process. A finite element
discretization using triangles with quadratic basis functions on an
unstructured grid is employed, and implemented via a highly adaptive
characteristic- Galerkin scheme. The adaptivity of the code is illustrated on
simplified test equations and finally for magnetic reconnection associated to
the non linear development of the tilt instability between two repelling
current channels. Varying the Lundquist number S, has allowed to study the
transition between the steady-state Sweet-Parker reconnection regime (for S <
10^4) and plasmoids dominated reconnection one (for S > 10^5). The implications
for the understanding of the mechanism explaining the fast conversion of free
magnetic energy in astrophysical environments such as in solar corona are
briefly discussed.

15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom