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Home All issues Volume 609 (January 2018) A&A, 609 (2018) A124 Full HTML
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Table A.1

Critical values.

Nϱ Rac mc ωc Lmax(10−8) Nr(10−8)
χ = 0.35, n = 2, E = 3 × 10−4
1 1.5134 × 105 9 –174.56 60 30
2 3.5094 × 105 12 –274.86 60 30
4 9.9971 × 105 28 –503.51 60 30
6 1.6326 × 106 37 –863.63 65 36
8 3.4266 × 106 44 –1333.1 70 54
χ = 0.35, n = 2, E = 3 × 10−5
1.5 4.199 × 106 21 –1167.7 90 50
2 6.791 × 106 24 –1376.8 120 45
2.5 1.053 × 107 29 – – –
3 1.4771 × 107 44 –1728.0 105 50
χ = 0.7, n = 2, E = 3 × 10−4
1 1.659 × 106 36 –194.34 90 30
2 3.134 × 106 54 –330.83 92 30
4 5.573 × 106 74 –702.57 92 30
6 1.1534 × 107 89 –1173.9 120 50
8 3.0645 × 107 104 –1668.7 130 80
χ = 0.7, n = 1.5, E = 3 × 10−4
4 6.762 × 106 77 –801.67 105 30
6 1.8828 × 107 92 –1322.17 120 68
χ = 0.7, n = 2, E = 10−4
0.5 4.154 × 106 43 –286.78 120 34
1 6.790 × 106 52 –409.7 125 36
2 1.305 × 107 80 –698.14 130 42
2.5 1.507 × 107 90 –895.47 134 42
4 2.107 × 107 110 –1611.3 142 40

Notes. Pr = 1 for all models. The critical Rayleigh number Rac is the one as defined by Eq. (7) (and used in PARODY); to obtain the MAGIC one, just multiply by . The Lmax (10−8) and Nr (10−8) quantities give the resolution necessary to achieve a relative spectral precision of 10−8 for the eigenfunction at criticality. It gives the minimum resolution needed for the 3D simulations.

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