Data-Driven Radiative Magnetohydrodynamics Simulations with the MURaM code

Abstract

We present a method of conducting data-driven simulations of solar active regions and flux emergence with the MURaM radiative magnetohydrodynamics (MHD) code. The horizontal electric field derived from the full velocity and magnetic vectors, is implemented at the photospheric (bottom) boundary to drive the induction equation. The energy equation accounts for thermal conduction along magnetic fields, optically-thin radiative loss, and heating of coronal plasma by viscous and resistive dissipation, which allows for a realistic presentation of the thermodynamic properties of coronal plasma that are key to predicting the observational features of solar active regions and eruptions. To validate the method, the photospheric data from a comprehensive radiative MHD simulation of solar eruption (the ground truth) are used to drive a series of numerical experiments. The data-driven simulation reproduces the accumulation of free magnetic energy over the course of flux emergence in the ground truth with an error of 3\%. The onset time is approximately 8\,min delayed compared to the ground truth. However, a precursor-like signature can be identified at the correct onset time. The data-driven simulation captures key eruption-related emission features and plasma dynamics of the ground truth flare over a wide temperature span from ${\log }_{10}T=4.5$ to ${\log }_{10}T>8$. The evolution of the flare and coronal mass ejection as seen in synthetic extreme ultraviolet images is also reproduced with high fidelity. The method helps to understand the evolution of magnetic field in a more realistic coronal environment and to link the magnetic structures to observable diagnostics.

35 pages, 24 figures, accepted for publication in ApJ

References in corpus (31)

• The Helioseismic and Magnetic Imager (HMI) Vector Magnetic Field Pipeline: Overview and Performance
• Numerical simulations of quiet Sun magnetism: On the contribution from a small-scale dynamo
• Non-linear force-free field modeling of a solar active region around the time of a major flare and coronal mass ejection
• Flare-productive active regions
• Tracking Vector Magnetograms with the Magnetic Induction Equation
• Extension of the MURaM radiative MHD code for coronal simulations
• Homologous Helical Jets: Observations by IRIS, SDO and Hinode and Magnetic Modeling with Data-Driven Simulations
• The Atmospheric Response to High Nonthermal Electron Beam Fluxes in Solar Flares I: Modeling the Brightest NUV Footpoints in the X1 Solar Flare of 2014 March 29
• How did a Major Confined Flare Occur in Super Solar Active Region 12192?
• On the Relationship Between a Hot-channel-like Solar Magnetic Flux Rope and its embedded Prominence
• Modeling the Dispersal of an Active Region: Quantifying Energy Input into the Corona
• A Comprehensive Method of Estimating Electric Fields from Vector Magnetic Field and Doppler Measurements
• The Coronal Global Evolutionary Model: Using HMI Vector Magnetogram and Doppler Data to Model the Buildup of Free Magnetic Energy in the Solar Corona
• Solar Magnetic Flux Rope Eruption Simulated by a Data-Driven Magnetohydrodynamic Model
• The role of non-axisymmetry of magnetic flux rope in constraining solar eruptions
• A Comprehensive Radiative Magnetohydrodynamics Simulation of Active Region Scale Flux Emergence from the Convection Zone to the Corona
• The Coronal Global Evolutionary Model: Using HMI Vector Magnetogram and Doppler Data to Determine Coronal Magnetic Field Evolution
• Comparative Study of Data-driven Solar Coronal Field Models Using a Flux Emergence Simulation as a Ground-truth Data Set
• Data-driven model of the solar corona above an active region
• Data-driven MHD simulation of successive solar plasma eruptions
• Active region chromospheric magnetic fields
• An improved MHD simulation of the 2006 December 13 coronal mass ejection of active region NOAA 10930
• Data-driven MHD Simulation of the Formation and Initiation of a Large-scale Pre-flare Magnetic Flux Rope in Solar Active Region 12371
• Simulating the Coronal Evolution of Bipolar Active Regions to Investigate the Formation of Flux Ropes
• Flux emergence and generation of flare-productive active regions
• Failed Solar Eruption of A Multi-thermal Flux Rope
• MHD simulation of Solar Eruption from Active Region 11429 Driven by Photospheric Velocity Field
• Testing a Data-driven Active Region Evolution Model with Boundary Data at Different Heights from a Solar Magnetic Flux Emergence Simulation
• An Evolution and Eruption of the Coronal Magnetic Field through a Data-Driven MHD Simulation
• An approximate recipe of chromospheric radiative losses for solar flares
• Radiative Magnetohydrodynamic Simulation of the Confined Eruption of a Magnetic Flux Rope: Magnetic Structure and Plasma Thermodynamics

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