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

Earth, Planets and Space

Table 5 Alternative Rm numbers

Model	\(\cos \gamma \)	\(Rm_{\text {a}}\)	\(Rm_{\text {s}}\)	\(\xi _{Rm}\)	\(Rm_{\text {e}}\)	Rm
1	0.65	88.37	49.22	0.65	89.98	137
2	0.65	166.77	80.55	0.68	167.44	255
3	0.66	146.20	89.88	0.66	155.15	219
4	0.59	48.71	45.10	0.59	55.44	82
5	0.64	79.88	60.78	0.61	86.51	125
6	0.66	155.15	104.72	0.65	169.17	234
7	0.64	80.01	75.93	0.60	93.72	126
8	0.65	140.70	100.18	0.63	151.66	218
9	0.66	294.81	192.80	0.66	321.33	446

\(\cos \gamma \) is the field–flow alignment factor. \(Rm_{\text {a}}\) and \(Rm_{\text {s}}\) are the advective and stretching effective magnetic Reynolds numbers, respectively. The effective magnetic Reynolds number \(Rm_{\text {e}}\) was calculated using the advection/stretching interference factor \(\xi _{Rm}\). For comparison the conventional Rm number is reproduced from Table 1