Table 7 Left and right states of the one-dimensional RMHD Riemann problems
Problem | γ | ρ | \(\boldsymbol{(v}_{\boldsymbol{x}}\) | \(\boldsymbol{v}_{\boldsymbol{y}} \) | \(\boldsymbol{v}_{\boldsymbol{z}}\boldsymbol{)}\) | p | \(\boldsymbol{(B}_{\boldsymbol{x}} \) | \(\boldsymbol{B}_{\boldsymbol{y}} \) | \(\boldsymbol{B}_{\boldsymbol{z}}\boldsymbol{)}\) | \(\boldsymbol{t}_{\boldsymbol{f}}\) | |
|---|---|---|---|---|---|---|---|---|---|---|---|
RMHD-RP1 | x>0 | 2.0 | 0.125 | 0.0 | 0.0 | 0.0 | 0.1 | 0.5 | −1.0 | 0.0 | 0.4 |
x ≤ 0 | 1.0 | 0.0 | 0.0 | 0.0 | 1.0 | 0.5 | 1.0 | 0.0 | |||
RMHD-RP2 | x>0 | 5/3 | 1.0 | −0.45 | −0.2 | 0.2 | 1.0 | 2.0 | −0.7 | 0.5 | 0.55 |
x ≤ 0 | 1.08 | 0.4 | 0.3 | 0.2 | 0.95 | 2.0 | 0.3 | 0.3 |