Nonlinear force-free coronal magnetic field modelling and preprocessing of vector magnetograms in spherical geometry

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Volume 508 / No 1 (December II 2009)

A&A, 508 1 (2009) 421-432

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Table 1:

Quality of our reconstructions with several figures of merit as explained in Sect. 3.2.
Model	$L_{\omega }$	$L_{\rm f}$	$L_{\rm d}$	$\parallel \nabla \cdot {\vec{B}} \parallel_{\infty}$	$\parallel {\vec{ j} } \times {\vec{B}} \parallel_{\infty}$	$C_{\rm vec}$	$C_{\rm CS}$	E_N	E_M	$\epsilon$	Steps	Time
	Spherical grid $20 \times 48\times 62$
Original	0.029	0.015	0.014	1.180	1.355	1	1	0	0	1
Potential	0.020	0.007	0.014	1.706	1.091	0.736	0.688	0.573	0.535	0.676
Case 1	0.006	0.004	0.002	0.454	0.774	0.999	0.983	0.012	0.016	1.005	10 000	7.14 min
Case 2	33.236	7.806	25.430	47.843	24.135	0.757	0.726	0.397	0.451	0.745	110	1.28 min
Case 3	0.009	0.006	0.03	0.367	0.787	0.994	0.967	0.187	0.097	0.989	12 011	17.54 min
	Spherical grid $40\times 96\times 124$
Original	0.005	0.003	0.002	0.38	0.71	1	1	0	0	1
Potential	0.30	0.0003	0.30	0.44	0.23	0.67	0.77	0.70	0.67	0.75
Case 1	0.002	0.001	0.0006	0.38	0.32	0.998	0.999	0.004	0.007	1.001	12 522	1 h 21 min
Case 2	26.27	10.20	16.07	20.40	30.53	0.799	0.759	0.411	0.456	0.798	5673	1 h 1 min
Case 3	0.24	0.20	0.04	0.630	0.747	0.996	0.971	0.186	0.112	0.996	12 143	4 h 57 min

We compute the figures for the three different cases along with the model reference field and potential field.

Source LaTeX | All tables | In the text

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