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Simulations, Data Analysis and Algorithms

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Table 7 Left and right states of the one-dimensional RMHD Riemann problems

From: Efficient conservative ADER schemes based on WENO reconstruction and space-time predictor in primitive variables

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