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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

Notes. The above tables show the initial left and right states for the RMHD Riemann problems in dimensionalized and non-dimensional forms.

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