Magnetic field stretching at the top of the shell of numerical dynamos

Peña, Diego; Amit, Hagay; Pinheiro, Katia J.

doi:10.1186/s40623-016-0453-x

Earth, Planets and Space

Table 4 Local statistics

From: Magnetic field stretching at the top of the shell of numerical dynamos

Model	Patch type	St/Ad	\({\mathcal {P}}/{\mathcal {T}}\)	\(H_u\)	\({\text{corr}}(\|B_r\|,\delta _h^-)\)	\({\text{corr}}(\|B_r\|,\delta _h^+)\)	\(\xi _{a}\)	\(\xi _{s}\)	\(\xi _{\text {e}}\)
1	HN	0.69 ± 0.23	0.34 ± 0.05	0.91 ± 0.11	0.44 ± 0.19	−0.28 ± 0.08	0.44 ± 0.09	0.76 ± 0.09	0.92 ± 0.09
	LN	0.28 ± 0.00	0.60 ± 0.00	0.70 ± 0.00	0.38 ± 0.00	−0.34 ± 0.00	0.11 ± 0.00	0.31 ± 0.00	0.62 ± 0.00
	LR	0.48 ± 0.14	0.63 ± 0.11	0.79 ± 0.19	0.42 ± 0.17	−0.18 ± 0.13	0.07 ± 0.04	0.20 ± 0.06	0.68 ± 0.13
2	HN	0.55 ± 0.21	0.40 ± 0.07	0.83 ± 0.09	0.29 ± 0.19	−0.19 ± 0.09	0.28 ± 0.09	0.59 ± 0.18	0.77 ± 0.20
	LN	0.33 ± 0.10	0.59 ± 0.12	0.71 ± 0.23	0.43 ± 0.24	−0.17 ± 0.13	0.11 ± 0.06	0.38 ± 0.16	0.56 ± 0.22
	LR	0.43 ± 0.16	0.79 ± 0.14	0.59 ± 0.22	0.28 ± 0.22	−0.04 ± 0.19	0.11 ± 0.08	0.25 ± 0.13	0.62 ± 0.19
3	HN	0.60 ± 0.19	0.33 ± 0.05	0.91 ± 0.03	0.30 ± 0.18	−0.19 ± 0.11	0.24 ± 0.08	0.56 ± 0.16	0.87 ± 0.06
	LN	–	–	–	–	–	–	–	–
	LR	0.65 ± 0.27	0.61 ± 0.06	0.82 ± 0.09	0.60 ± 0.14	−0.20 ± 0.03	0.26 ± 0.08	0.52 ± 0.13	0.84 ± 0.09
4	HN	1.27 ± 0.51	0.32 ± 0.07	0.87 ± 0.20	0.71 ± 0.10	−0.39 ± 0.11	0.63 ± 0.13	0.61 ± 0.13	0.85 ± 0.09
	LN	1.10 ± 0.29	0.39 ± ± 0.02	0.91 ± 0.05	0.78 ± 0.03	−0.48 ± 0.08	0.58 ± 0.14	0.35 ± 0.09	0.57 ± 0.11
	LR	0.24 ± 0.01	0.69 ± 0.01	0.52 ± 0.06	−0.23 ± 0.06	0.14 ± 0.01	0.06 ± 0.00	0.28 ± 0.02	0.24 ± 0.01
5	HN	0.95 ± 0.30	0.32 ± 0.05	0.83 ± 0.14	0.54 ± 0.13	−0.35 ± 0.06	0.57 ± 0.14	0.75 ± 0.08	0.93 ± 0.04
	LN	0.43 ± 0.00	0.42 ± 0.00	0.91 ± 0.00	0.57 ± 0.00	−0.22 ± 0.00	0.47 ± 0.00	0.72 ± 0.00	0.94 ± 0.00
	LR	0.72 ± 0.00	0.86 ± 0.00	0.71 ± 0.00	0.49 ± 0.00	−0.23 ± 0.00	0.09 ± 0.00	0.16 ± 0.00	0.67 ± 0.00
6	HN	0.74 ± 0.15	0.34 ± 0.05	0.91 ± 0.04	0.40 ± 0.18	−0.27 ± 0.10	0.39 ± 0.07	0.69 ± 0.11	0.87 ± 0.10
	LN	0.69 ± 0.15	0.60 ± 0.07	0.91 ± 0.01	0.54 ± 0.18	−0.18 ± 0.00	0.12 ± 0.10	0.32 ± 0.26	0.82 ± 0.04
	LR	0.68 ± 0.13	0.73 ± 0.31	0.85 ± 0.06	0.54 ± 0.18	−0.19 ± 0.03	0.11 ± 0.06	0.17 ± 0.08	0.76 ± 0.09
7	HN	1.18 ± 0.28	0.28 ± 0.08	0.80 ± 0.15	0.54 ± 0.13	−0.30 ± 0.07	0.59 ± 0.09	0.62 ± 0.08	0.89 ± 0.06
	LN	0.81 ± 0.20	0.40 ± 0.01	0.91 ± 0.02	0.54 ± 0.16	−0.25 ± 0.12	0.55 ± 0.06	0.51 ± 0.05	0.74 ± 0.04
	LR	1.12 ± 0.12	0.58 ± 0.01	0.81 ± 0.04	0.48 ± 0.06	−0.09 ± 0.02	0.08 ± 0.06	0.04 ± 0.04	0.67 ± 0.05
8	HN	0.78 ± 0.20	0.27 ± 0.04	0.83 ± 0.12	0.45 ± 0.15	−0.30 ± 0.06	0.50 ± 0.12	0.68 ± 0.08	0.89 ± 0.06
	LN	–	–	–	–	–	–	–	–
	LR	0.93 ± 0.00	0.94 ± 0.00	0.60 ± 0.00	0.57 ± 0.00	−0.18 ± 0.00	0.14 ± 0.00	0.20 ± 0.00	0.63 ± 0.00
9	HN	0.68 ± 0.15	0.31 ± 0.06	0.81 ± 0.11	0.48 ± 0.18	−0.24 ± 0.07	0.32 ± 0.06	0.63 ± 0.07	0.84 ± 0.04
	LN	0.61 ± 0.13	0.45 ± 0.07	0.82 ± 0.04	0.51 ± 0.05	−0.23 ± 0.04	0.28 ± 0.05	0.54 ± 0.07	0.83 ± 0.02
	LR	0.85 ± 0.09	0.67 ± 0.17	0.70 ± 0.06	0.55 ± 0.19	−0.22 ± 0.07	0.20 ± 0.20	0.25 ± 0.25	0.88 ± 0.07
\(\bar{x}\)	HN	0.82	0.32	0.86	0.46	−0.28	0.44	0.65	0.90
	LN	0.61	0.49	0.84	0.53	−0.27	0.32	0.45	0.73
	LR	0.68	0.72	0.71	0.42	−0.13	0.13	0.23	0.66

Dynamo models time-average and standard deviation values for each patch type. RMS ratios, correlations and patch types are the same as in Table 3. \(\xi _{a}\) and \(\xi _{s}\) are the absolute normalized integrated values of advection and stretching SV, respectively, \(\xi _{\text {e}}\) is the normalized integrated value of the product of stretching SV and \(B_r\). \(\bar{x}\) denotes averages over all dynamo models

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