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Table 3
Initial left and right states for RMHD Riemann problems.
1.5D Brio-Wu test (γ = 2) | ||
---|---|---|
Dimensionalized initial states | ||
Variable | Left state | Right state |
ρ (g/cm3) | 1.67429 × 10−14 | 2.09287 × 10−15 |
p (erg/cm3) | 3.04046 × 10−3 | 3.04046 × 10−4 |
Bx (Gauss) | 1.46601 × 10−1 | 1.46601 × 10−1 |
By (Gauss) | 1.95468 × 10−1 | −1.95468 × 10−1 |
T (K) | 1.1 × 103 | 8.0 × 102 |
E (erg/cm3) | 1.10764 × 10−2 | 4.53637 × 10−3 |
L (cm) | 2 × 1010 | |
Non-dimensionalized initial states | ||
Variable | Left state | Right state |
ρ | 1.0 | 0.125 |
p | 1.0 | 0.1 |
Bx | 0.75 | 0.75 |
By | 1.0 | −1.0 |
T | 1.0 | 0.8 |
E | 3.643 | 1.492 |
L | 2 | |
1.75D Torrilhon test (γ = 5/3) | ||
Dimensionalized initial states | ||
Variable | Left state | Right state |
ρ (g/cm3) | 1.67429 × 10−14 | 5.02288 × 10−14 |
p (erg/cm3) | 3.04046 × 10−3 | 9.12139 × 10−3 |
Bx (Gauss) | 2.93201 × 10−1 | 2.93201 × 10−1 |
By (Gauss) | 1.95468 × 10−1 | 1.38268 × 10−2 |
Bɀ (Gauss) | 0.0 | 1.94978 × 10−1 |
T (K) | 1.1 × 103 | 1.1 × 103 |
E (erg/cm3) | 1.10764 × 10−2 | 1.10764 × 10−2 |
L (cm) | 2 × 108 | |
Non-dimensionalized initial states | ||
Variable | Left state | Right state |
ρ | 1.0 | 3.0 |
p | 1.0 | 3.0 |
Bx | 1.5 | 1.5 |
By | 1.0 | cos(1.5rad) |
Bɀ | 0.0 | sin(1.5rad) |
T | 1.0 | 1.0 |
E | 3.643 | 3.643 |
L | 2 |
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