Table 1
Parametric study of the parameter space λosc × u0 with the conservative code HERACLES, for the case of a shallow gradient over 5000 km with g0 = GM⊙/(1500 km)2 and a steeper gradient with ten times the gravity.
| u0 (kms-1) | 200 | 100 | 50 | 45 | 40 | 35 | 30 | |
|
|
||||||||
| λ = 0.50 L | 1 | 1 | 2 | 2 | 3 | − | − | |
| λ = 0.33 L | 2 | 2 | 5 | 6 | 8 | − | − | |
| λ = 0.25 L | 3 | 4 | 8 | 10 | 14 | − | − | |
| λ = 0.20 L | 5 | 7 | 14 | 16 | 21 | 36 | − | |
| λ = 0.15 L | 10 | 14 | 25 | 29 | 35 | 46 | − | |
| λ = 0.10 L | 27 | 40 | 63 | 70 | 81 | 98 | 134 | |
| λ = 0.05 L | 137 | 250 | 422 | 464 | 525 | |||
|
|
||||||||
| 10 × g0 | ||||||||
|
|
||||||||
| λ = 0.50 L | 1 | 1 | 3 | − | − | − | − | |
| λ = 0.33 L | 2 | 3 | 6 | − | − | − | − | |
| λ = 0.25 L | 4 | 5 | 13 | 20 | − | − | − | |
| λ = 0.20 L | 6 | 9 | 20 | 26 | − | − | − | |
| λ = 0.15 L | 12 | 18 | 35 | 41 | 54 | − | − | |
Notes.The table shows the number of shocks needed for ignition while dash symbols represent cases where ignition is impossible because shocks form at too low density.
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