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Table A.1.

Simulation set-ups.

Simulation set-up description
Spatial derivatives 4th order central differences

Time-integration 4-stage explicit update a

Diffusive scheme Slope-limited numerical diffusion b

Upper BC Open to inflows, closed to outflows
Potential magnetic field

Lower BC Open boundary condition
Symmetric for magnetic field

Horizontal BC Periodic

EoS LTE in solar interior and photosphere
NE in chromosphere and corona

Radiation transfer Scattering multi-group scheme
Tabulated chromospheric losses
Tabulated optical thin losses
3D EUV back-heating

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