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Abstract
Aims. We develop an optimization principle for computing stationary MHD equilibria.
Methods. Our code for the selfconsistent computation of the coronal magnetic fields and the coronal plasma uses nonforcefree MHD equilibria. Previous versions of the code have been used to compute nonlinear forcefree coronal magnetic fields from photospheric measurements. The program uses photospheric vector magnetograms and coronal EUV images as input. We tested our reconstruction code with the help of a semianalytic MHDequilibrium. The quality of the reconstruction was judged by comparing the exact and reconstructed solution qualitatively by magnetic fieldline plots and EUVimages and quantitatively by several different numerical criteria.
Results. Our code is able to reconstruct the semianalytic test equilibrium with high accuracy. The stationary MHD optimization code developed here has about the same accuracy as its predecessor, a nonlinear forcefree optimization code. The computing time for MHDequilibria is, however, longer than for force free magnetic fields. We also extended a wellknown class of nonlinear force free equilibria to the nonforcefree regime for purposes of testing the code.
Conclusions. We demonstrate that the code works in principle using tests with analytical equilibria, but it still needs to be applied to real data.
Original language  English 

Pages (fromto)  10531058 
Number of pages  6 
Journal  Astronomy & Astrophysics 
Volume  457 
Issue number  3 
DOIs  
Publication status  Published  Oct 2006 
Keywords
 sun : magnetic fields
 Sun : corona
 Sun : photosphere
 magnetohydrodynamics ( MHD)
 FREE MAGNETICFIELD
 NONCONSTANTALPHA
 FORCEFREE FIELDS
 MAGNETOGRAPH DATA
 PLASMA FLOWS
 RECONSTRUCTION
 REGION
 VECTOR
 EXTRAPOLATIONS
 INFORMATION
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 1 Finished

Solar&Magnetospheric Plasma Theory PP/E1: Solar and Magnetospheric Plasma Theory
Neukirch, T., Hood, A. W., Parnell, C. E., Priest, E., Roberts, B. & Wright, A. N.
1/04/07 → 31/03/12
Project: Standard