Deep magnetic field stretching in numerical dynamos

Diego Peña; Hagay Amit; Katia J. Pinheiro

doi:10.1186/s40645-017-0162-5

Progress in Earth and Planetary Science

Table 5 Local statistics at mid-depth: dynamo models time average and standard deviation values for each patch type (PT)

From: Deep magnetic field stretching in numerical dynamos

Model	PT	Ad_r/Ad_h	St_r/St_h	St_h/Ad_h	St/Ad	\(\mathcal {P}/\mathcal {T}\)	\(\\|u_{r}\\|/\\|\vec {u}_{h}\\|\)
1	HN	0.69±0.29	1.31±0.50	0.65±0.28	0.90±0.46	0.36±0.12	0.74±0.24
	LN	0.46±0.00	2.87±0.00	0.20±0.00	0.56±0.00	0.27±0.00	0.45±0.00
	LR	0.77±0.38	0.84±0.21	0.63±0.32	0.71±0.28	0.41±0.14	0.97±0.21
2	HN	0.71±0.29	1.49±0.67	0.52±0.37	0.81±0.46	0.37±0.16	0.82±0.32
	LN	0.55±0.11	0.77±0.18	0.56±0.02	0.67±0.11	0.35±0.05	0.98±0.08
	LR	0.55±0.28	1.15±0.51	0.38±0.15	0.55±0.18	0.37±0.15	0.90±0.40
3	HN	0.61±0.27	1.53±0.80	0.42±0.13	0.63±0.26	0.32±0.11	0.72±0.18
	LN	–	–	–	–	–	–
	LR	2.23±1.69	0.87±0.44	0.99±0.72	0.56±0.25	1.26±0.63	1.65±1.29
4	HN	0.77±0.33	1.53±0.82	0.92±0.38	1.35±0.66	0.33±0.08	0.80±0.24
	LN	–	–	–	–	–	–
	LR	–	–	–	–	–	–
5	HN	0.68±0.24	1.29±0.45	1.02±0.38	1.50±0.91	0.40±0.12	0.71±0.20
	LN	–	–	–	–	–	–
	LR	–	–	–	–	–	–
6	HN	0.65±0.30	1.44±0.79	0.54±0.25	0.81±0.33	0.37±0.17	0.95±0.50
	LN	0.52±0.18	1.10±0.13	0.55±0.09	0.54±0.24	1.18±0.62	0.62±0.08
	LR	0.78±0.14	0.91±0.41	0.71±0.15	1.03±0.26	0.53±0.14	1.21±0.20
7	HN	0.78±0.19	1.37±0.47	1.39±0.50	1.75±1.03	0.40±0.21	0.82±0.28
	LN	0.48±0.22	1.44±0.70	0.53±0.31	0.99±0.48	0.24±0.01	0.66±0.19
	LR	0.56±0.00	1.25±0.00	0.38±0.00	0.51±0.00	0.33±0.00	0.66±0.00
8	HN	0.70±0.20	1.33±0.58	1.18±0.49	1.68±0.92	0.47±0.17	0.85±0.22
	LN	–	–	–	–	–	–
	LR	0.68±0.00	1.42±0.00	0.43±0.00	0.80±0.00	0.41±0.00	0.59±0.00
9	HN	0.64±0.21	1.03±0.47	0.64±0.26	0.77±0.27	0.35±0.12	1.18±0.79
	LN	0.74±0.17	0.99±0.39	0.71±0.00	1.12±0.20	0.52±0.01	1.14±0.04
	LR	0.87±0.34	0.57±0.15	0.80±0.51	1.01±0.64	0.45±0.05	1.37±0.16
\(\bar {x}\)	HN	0.70±0.28	1.40±0.65	0.77±0.47	1.10±0.75	0.37±0.15	0.81±0.33
	LN	0.56±0.19	1.28±0.73	0.54±0.21	0.80±0.36	0.54±0.46	0.80±0.26
	LR	0.83±0.76	0.98±0.43	0.58±0.39	0.68±0.33	0.50±0.36	1.04±0.57

Quantities are the same as in Table 2. \(\bar {x}\) denotes averages over all dynamo models

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