Testing magnetofrictional extrapolation with the Titov-Démoulin model of solar active regions

G. Valori; B. Kliem; T. Török; V. S. Titov

doi:10.1051/0004-6361/201014416

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Volume 519 (September 2010)

A&A, 519 (2010) A44

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Table 5:

Figures of merit (absolute values) for all reference, initial, and extrapolated fields.
Field	HFT apex	CFL apex	$\langle~\Phi~\rangle / \pi$	$\tilde n$	$1-E_{\rm M}$	$\sigma_J \times 10^{2}$	$E_{\rm mag}$	$H_{\rm mag}$	$\langle~\vert f_i\vert~\rangle \times 10^{5}$
High_HFT
Reference	0.1458	1.143	-2.146	2.519	1.0000	0.5062	10.095	3.253	4.679
MF Schmidt	0.1430	1.191	-2.192	2.617	0.9561	1.5481	10.117	3.105	6.044
Low_HFT
Reference	0.0635	1.137	-2.128	2.435	1.0000	0.3789	10.087	3.197	4.303
MF Schmidt	0.0639	1.130	-2.121	2.340	0.9645	0.7333	10.050	3.055	6.899
MF Pot Seehafer	0.0624	1.295	-2.176	2.008	0.9355	4.1202	10.319	3.241	16.18
MF Lin Seehafer	0.0622	1.341	-2.192	1.537	0.9296	4.5231	10.315	3.416	14.47
MF TD_ex	0.0629	1.183	-2.183	2.494	0.9284	1.1770	10.237	2.954	11.98
Low_HFT initial field
Schmidt	...	...	...	1.928	0.7246	...	7.958	0	277.9
Pot Seehafer	...	...	...	2.512	0.6278	...	8.143	0	1.247
Lin Seehafer	...	...	...	4.130	0.6665	...	8.267	2.880	1.225
No_HFT
Reference	...	1.131	-2.111	2.350	1.0000	0.2951	10.047	3.105	4.254
MF Schmidt	...	1.101	-2.097	2.195	0.9670	1.1756	9.972	2.955	10.28
BP
Reference	...	1.389	-1.806	-0.6210	1.0000	0.0538	7.489	3.610	7.162
MF Schmidt	...	1.385	-1.814	-0.6242	0.9460	0.8003	7.487	3.509	10.05
Unstable
Reference ini	0.1705	1.008	-2.853	2.916	1.0000	3.4610	3.286	24.21	3.841
Reference fin	...	...	...	2.410	1.0000	22.116	2.205	23.69	16.86
MF Schmidt max	0.0984	0.4095	-4.115	1.992	0.7693	13.140	2.540	25.35	94.96
MF Schmidt min	...	...	...	...	0.6266	27.396	1.843	23.08	115.9

Notes. In addition to the definitions given in Sect. 4, the following naming conventions are used: ``MF'': nonlinear magnetofrictional extrapolation; ``Pot'' and ``Lin'': potential and linear extrapolation, respectively; ``Schmidt'' and ``Seehafer'': two methods used to compute the initial field for MF; for the Unstable case discussed in Sect. 4.3: ``Reference ini'': reference field after the initial relaxation; ``Reference fin'': reference field at the end of the MHD simulation; ``MF Schmidt max'' and ``MF Schmidt min'': MF corresponding to the maximum and minimum energy of the reconstructed fields, respectively. Missing values represent ill-defined quantities for the respective equilibria.

Source LaTeX | All tables | In the text

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