A potential magnetic field calculator for solar physics applications using staggered grids
arXiv:1903.10546 · doi:10.1051/0004-6361/201834684
Abstract
A program has been designed for accurately generating a potential magnetic field on a staggered grid by extrapolating the magnetic field normal to the photospheric surface. The code first calculates a magnetic potential using the Green's function method and then uses a finite differencing scheme to calculate the magnetic field from the potential. A new finite differencing formula was derived which accounts for grid staggering, it is shown that this formula gives a numerical approximation that is closest to the real potential field. It is also shown that extending the region over which normal photospheric field is specified can improve the accuracy of the potential field produced. The program is a FORTRAN 90 code that can be used to generate potential magnetic field inputs for Lare3d and other MHD solvers that use a staggered grid for magnetic field components. The program can be parallelised to run quickly over multiple computing cores. The code and supporting description are provided in the appendices and can also be found at https://github.com/calboo/Potential_Field_Calculator.
arXiv commentRevision of some typos spotted whilst writing thesis
References in corpus (18)
- Optimization code with weighting function for the reconstruction of coronal magnetic fields
- An Ab Initio Approach to the Solar Coronal Heating Problem
- Key Aspects of Coronal Heating
- A Contemporary View of Coronal Heating
- Nonlinear force-free modeling of the solar coronal magnetic field
- An Intercomparison Between Divergence-Cleaning and Staggered Mesh Formulations for Numerical Magnetohydrodynamics
- Intermittent heating in the solar corona employing a 3D MHD model
- Computing nonlinear force-free fields in spherical geometry
- Particle acceleration and transport in reconnecting twisted loops in a stratified atmosphere
- An optimization principle for the computation of MHD equilibria in the solar corona
- Nonlinear Force-Free Extrapolation of the Coronal Magnetic Field Based on the MHD Relaxation Method
- Observationally driven 3D MHD model of the solar corona above an active region
- Nanoflare statistics in an active region 3D MHD coronal model
- Optimization approach for the computation of magnetohydrostatic coronal equilibria in spherical geometry
- Limitations of force-free magnetic field extrapolations: revisiting basic assumptions
- First use of synoptic vector magnetograms for global nonlinear force free coronal magnetic field models
- Magnetohydrostatic equilibrium. I: Three-dimensional open magnetic flux tube in the stratified solar atmosphere
- Enhanced phase mixing of Alfvén waves propagating in stratified and divergent coronal structures