Convergence study of ambipolar diffusion in realistic simulations of magneto-convection

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Table 2.

Theoretical (Th) and empirical (Em) diffusion coefficients in [m² s⁻¹], $ν_{6}^{F} / Δ s^{4}$ $\nu _6^F/\Delta s^4$ (second and third columns) and approximate hydrodynamic and magnetic Reynolds numbers (fourth and fifth columns).

Run	$ν_{6}^{F} / Δ s^{4}$ $\nu _6^F/\Delta s^4$ (Th)	$ν_{6}^{F} / Δ s^{4}$ $\nu _6^F/\Delta s^4$ (Em)	Re	Rm
Dyn₅	1.6×10⁶	0.76×10⁶	400	1300
Dyn₁₀	1.3×10⁶	1.8×10⁶	290	940
Dyn₂₀	2.6×10⁶	1.3×10⁶	160	730
Bz50₁₀	1.3×10⁶	0.55×10⁶	250	2700
Bz50₂₀	2.6×10⁶	1.5×10⁶	110	1300
Bz200₂₀	2.6×10⁶	1.9×10⁶	60	2800

Notes. Here, Δs={Δx, Δy, Δz} represents the grid size in the three Cartesian directions. The average value over the three directions is shown.

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