A Fast Extrapolation Method for Reconstructing the Coronal Nonlinear Force-free Field

Details A Fast Extrapolation Method for Reconstructing the Coronal Nonlinear Force-free Field A Fast Extrapolation Method for Reconstructing the Coronal Nonlinear Force-free Field

Aug 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006iaujd...3e..51s&link_type=abstract

Solar Active Regions and 3D Magnetic Structure, 26th meeting of the IAU, Joint Discussion 3, 16-17 August, 2006, Prague, Czech R

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Computation

Scientific paper

Introduction: We propose an improved method of upward integration to reconstruct the nonlinear force-free field (NFFF) in the solar corona. Method: The method of upward integration can be modified to a well-posed one by the following ways: instead of using finite difference to express partial derivatives, we use smooth continuous functions to approach magnetic field. Three field components are expressed by amplitude functions multiplying morphology functions, and the four basic NFFF equations can be reduced to ordinary differential ones. They are then solved in an asymptotic manner. Considering the physical meaning of alpha, we found a self-consistent compatibility condition for the boundary values. Furthermore, we propose a computation algorithm, similar to the usual time-dependent 2D-MHD simulation scheme. Result: This algorithm is steady and not sensitive to the noise in the magnetic field (in particular the transverse field) measurement, and is able to deal with concentrated photospheric currents. Our code runs very fast in an usual PC-computer and lasts only 6 minutes for the mesh 80 × 60 (x : y) up to a height of 80 ( 216000 km). Discussion: Our new method provides a powerful tool to analyze the magnetic field property of solar active regions, and is useful for the prediction of solar activities.

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