Table 4
Energy densities of the radial magnetic field and dynamo cycle properties.
| Run |  |
 |
 |
 |
 |
 |
 |
 |
 |
PADW | PADW | PADW | D | τcyc |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| [yr] | [P0] | [PDR] | [yr] | |||||||||||
| A1 | 0.211 | 2.1(–2) | 5.8(–3) | 2.1(–3) | 1.9(–3) | 1.7(–3) | 1.7(–3) | 1.5(–3) | 6.1(–3) | 3.72(m0) | ||||
| A2 | 0.188 | 2.4(–2) | 4.3(–3) | 3.0(–3) | 2.5(–3) | 2.4(–3) | 2.2(–3) | 2.0(–3) | 7.9(–3) | 4.13(m0) | ||||
| B | 0.183 | 2.3(–2) | 7.3(–3) | 3.0(–3) | 1.6(–3) | 1.6(–3) | 1.5(–3) | 1.3(–3) | 6.8(–3) | 2.45(m0) | ||||
 |
0.137 | 1.7(–2) | 5.7(–3) | 3.9(–3) | 1.3(–3) | 1.2(–3) | 1.1(–3) | 9.2(–4) | 3.5(–3) | 3.53(m0) | ||||
 |
0.128 | 1.6(–2) | 4.7(–3) | 3.2(–3) | 1.5(–3) | 1.2(–3) | 1.0(–3) | 8.4(–4) | 3.2(–3) | 4.37(m0) | ||||
 |
0.142 | 2.4(–2) | 3.5(–3) | 1.2(–2) | 2.3(–3) | 1.7(–3) | 1.3(–3) | 1.0(–3) | 2.8(–3) | 19.53 | 474 | 44.83 | R | 3.13(m0) |
| D | 0.180 | 5.1(–2) | 3.1(–3) | 3.9(–2) | 3.4(–3) | 1.9(–3) | 1.2(–3) | 8.3(–4) | 1.7(–3) | 14.14 | 410 | 24.67 | R | 18.25(m0) |
 |
0.147 | 3.1(–2) | 2.9(–3) | 2.1(–2) | 2.4(–3) | 1.4(–3) | 9.4(–4) | 6.0(–4) | 9.9(–4) | 39.87 | 1542 | 82.53 | R | 10.31(m1) |
| F1 | 0.290 | 0.111 | 1.5(–3) | 9.7(–2) | 4.8(–3) | 2.4(–3) | 1.5(–3) | 1.1(–3) | 3.1(–3) | 4.22 | 245 | 5.92 | R | 6.68(m0) |
 |
0.220 | 4.9(–2) | 3.3(–3) | 3.1(–2) | 4.3(–3) | 2.5(–3) | 1.7(–3) | 1.4(–3) | 4.2(–3) | 5.94 | 346 | 6.55 | R | 8.05(m1) |
 |
0.086 | 1.6(–2) | 2.9(–3) | 5.2(–3) | 1.5(–3) | 1.1(–3) | 8.3(–4) | 6.6(–4) | 3.6(–3) | 10.49 | 611 | 8.20 | R | 5.74(m0) |
 |
0.254 | 5.5(–2) | 4.0(–3) | 3.4(–2) | 5.4(–3) | 2.9(–3) | 2.0(–3) | 1.4(–3) | 5.0(–3) | 8.93 | 583 | 8.60 | R | 7.43(m1) |
 |
0.286 | 3.9(–2) | 2.9(–2) | 0.0 | 0.0 | 0.0 | 6.9(–3) | 0.0 | 2.7(–3) | 2.37(m0) | ||||
 |
0.053 | 2.2(–2) | 1.1(–3) | 1.8(–2) | 1.1(–3) | 5.5(–4) | 3.9(–4) | 2.9(–4) | 7.2(–4) | 42.69 | 1.9(+3) | 12.15 | R | 27.34(m1) |
 |
0.274 | 7.7(–2) | 4.0(–3) | 5.3(–2) | 6.6(–3) | 3.4(–3) | 2.4(–3) | 1.7(–3) | 6.5(–3) | 24.36 | 2.6(+3) | 15.84 | R | 7.17(m1) |
 |
0.274 | 0.107 | 8.9(–3) | 8.2(–2) | 6.0(–3) | 3.2(–3) | 2.1(–3) | 1.5(–3) | 3.7(–3) | 11.66 | 1.5(+3) | 7.07 | R | 7.75(m1) |
 |
0.220 | 4.0(–2) | 3.0(–2) | 0.0 | 0.0 | 0.0 | 7.6(–3) | 0.0 | 2.6(–3) | 4.44(m0) | ||||
 |
0.014 | 2.0(–3) | 2.0(–4) | 4.9(–4) | 4.3(–4) | 2.7(–4) | 1.6(–4) | 1.1(–4) | 3.8(–4) | 6.0(+3) | 5.4(+5) | 382.59 | SW, P | 8.25(m0) |
 |
0.421 | 0.129 | 7.2(–2) | 0.0 | 0.0 | 0.0 | 4.6(–2) | 0.0 | 1.1(–2) | 4.05(m0) | ||||
 |
0.025 | 3.7(–3) | 5.7(–4) | 6.8(–4) | 1.0(–3) | 6.2(–4) | 2.2(–4) | 1.3(–4) | 4.3(–4) | 4.89 | 1.4(+3) | 0.01 | P | 1.24(m0) |
 |
0.193 | 5.9(–2) | 3.7(–2) | 9.8(–3) | 3.7(–3) | 2.(–3) | 1.7(–3) | 1.5(–3) | 3.3(–3) | 5.10(m0) | ||||
 |
0.475 | 0.292 | 2.4(–3) | 0.246 | 1.3(–2) | 1.2(–2) | 5.7(–3) | 4.5(–3) | 8.3(–3) | 56.53 | 1.78(+4) | 14.66 | SW, R | 3.13(m1) |
 |
0.509 | 0.218 | 0.123 | 0.0 | 0.0 | 0.0 | 8.1(–2) | 0.0 | 1.3(–2) | 5.68(m0) | ||||
 |
0.133 | 4.9(–2) | 3.0(–2) | 9.3(–3) | 3.5(–3) | 1.9(–3) | 1.1(–3) | 8.0(–4) | 1.3(–3) | 6.64(m0) | ||||
| Ma | 0.907 | 0.514 | 1.3(–2) | 0.297 | 4.5(–2) | 4.0(–2) | 2.9(–2) | 2.1(–2) | 6.8(–2) | 151.41 | 2.9(+4) | 12.3 | SW, P | 16.45(m1) |
 |
0.462 | 0.197 | 0.135 | 0.0 | 0.0 | 0.0 | 5.1(–2) | 0.0 | 1.1(–2) | 4.10(m0) | ||||
Notes. The data for the energy densities is quoted near the surface (r = 0.98 R) in units of 105 J m−3. Here 
is the total energy density, 
is the magnetic energy density obtained from the decomposition over the first 10 harmonics, while 
denote the magnetic energy densities for the corresponding azimuthal wavenumbers with m = 0,..., 5, and 
the magnetic energy density in scales that are considered to be small scale (m > 5). The rotation period PADW of the ADW is computed as the latitudinal and temporal average of the derivative of the maximum phase of the dynamo mode (PADW = 2π∕ < dxmax, m1∕dt >t,θ). The column PADW[P0] indicates the average period of the ADW compared to the bulk rotation (P0 = 2π∕Ω0). The column PADW[PDR] indicates the average period of the ADW compared to the period of the differential rotation. The value D indicates if the ADW is moving in the retrograde (R) or prograde (P) direction. SW indicates a standing wave. Furthermore, τcyc is the characteristic timescale of the change of the dynamo solution. That coincides with the time evolution of the dominating dynamo mode, indicated in the parenthesis. If the solution exhibits oscillatory behavior, the run label is underlined. The numbers in parentheses indicate the exponent of 10.
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