Abstract
Context. On the sun, the magnetic field vector is measured routinely solely in the photosphere. By using these photospheric measurements as a boundary condition, we developed magnetohydrostatic (MHS) extrapolation to model the solar atmosphere. The model makes assumptions about the relative importance of magnetic and non-magnetic forces. While the solar corona is force-free, this is not the case with regard to the photosphere and chromosphere. Aims. The model has previously been tested with an exact equilibria. Here we present a more challenging and more realistic test of our model with the radiative magnetohydrodynamic simulation of a solar flare. Methods. By using the optimization method, the MHS model computes the magnetic field, plasma pressure and density self-consistently. The nonlinear force-free field (NLFFF) and gravity-stratified atmosphere along the field line are assumed as the initial conditions for optimization. Results. Compared with the NLFFF, the MHS model provides an improved magnetic field not only in magnitude and direction, but also in magnetic connectivity. In addition, the MHS model is capable of recovering the main structure of plasma in the photosphere and chromosphere.
Highlights
The nonlinear force-free field (NLFFF; Wiegelmann & Sakurai2012; Guo et al 2017) is considered a state-of-the-art model of the solar coronal magnetic field thanks to the low plasma β (Gary 2001) in the corona
The MHS model is capable of recovering the main structure of plasma in the photosphere and chromosphere
The MHS model computes the plasma in the computational box, which is an important advantage over the NLFFF model
Summary
By using the optimization method, the MHS model computes the magnetic field, plasma pressure and density selfconsistently. The nonlinear force-free field (NLFFF) and gravity-stratified atmosphere along the field line are assumed as the initial conditions for optimization
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