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Table 1

Top and bottom boundary conditions.

Quantity Top Bottom
Density Symmetric Inferred from entropy & pressure
Mass flux vertical in Anti-symmetric Symmetric
Mass flux vertical out Symmetric Symmetric
Mass flux horizontal Symmetric Symmetric
Eint Symmetric Inferred from
entropy & Pressure
Vertical B Symmetric Symmetric
Horizontal B Anti-symmetric Symmetric
Pressure See Eqs. (6)(7)
Entropy in Prescribed value sbc
Entropy out Inferred from
Density & Eint

Notes. The EHD is obtained from Eint + 1 /2ρu2 once all quantities are set at the boundary.

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