EXTENSION OF THE MURAM RADIATIVE MHD CODE FOR CORONAL SIMULATIONS

Journal Article · Sun Jan 01 00:00:00 EST 2017 · Astrophysical Journal

DOI:https://doi.org/10.3847/1538-4357/834/1/10· OSTI ID:22661409

Rempel, M., E-mail: [e-mail] ^[1]

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1. High Altitude Observatory, NCAR, P.O. Box 3000, Boulder, Colorado 80307 (United States)

We present a new version of the MURaM radiative magnetohydrodynamics (MHD) code that allows for simulations spanning from the upper convection zone into the solar corona. We implement the relevant coronal physics in terms of optically thin radiative loss, field aligned heat conduction, and an equilibrium ionization equation of state. We artificially limit the coronal Alfvén and heat conduction speeds to computationally manageable values using an approximation to semi-relativistic MHD with an artificially reduced speed of light (Boris correction). We present example solutions ranging from quiet to active Sun in order to verify the validity of our approach. We quantify the role of numerical diffusivity for the effective coronal heating. We find that the (numerical) magnetic Prandtl number determines the ratio of resistive to viscous heating and that owing to the very large magnetic Prandtl number of the solar corona, heating is expected to happen predominantly through viscous dissipation. We find that reasonable solutions can be obtained with values of the reduced speed of light just marginally larger than the maximum sound speed. Overall this leads to a fully explicit code that can compute the time evolution of the solar corona in response to photospheric driving using numerical time steps not much smaller than 0.1 s. Numerical simulations of the coronal response to flux emergence covering a time span of a few days are well within reach using this approach.

• OSTI ID: 22661409
• Journal Information: Astrophysical Journal, Vol. 834, Issue 1; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 0004-637X
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
ALFVEN WAVES
APPROXIMATIONS
COMPUTERIZED SIMULATION
CONVECTION
CORRECTIONS
EQUATIONS OF STATE
IONIZATION
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
PRANDTL NUMBER
RADIANT HEAT TRANSFER
RELATIVISTIC RANGE
SOLAR CORONA
SOUND WAVES
SUN
THERMAL CONDUCTION
VISIBLE RADIATION