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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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