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it confuse me when i read CEulerSolver::BC_Inlet function

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Old   December 27, 2022, 12:36
Default it confuse me when i read CEulerSolver::BC_Inlet function
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In this function, a variable is defined like

SoundSpeed_Total2 = Gamma_Minus_One*(H_Total - (Energy + Pressure/Density)+0.5*Velocity2) + SoundSpeed2;

Two questions arise:
1. if I don't make a mistake
gamma_minus_one*(energy + pressure/density) = soundspeed2

so why not the expression reduced to:
soundspeed_total2 = gamma_minus_one(h_total + 0.5*velocity2)

2. so, what is the real meaning of this variable? I read the related topic in
<Inflow/Outflow Boundary Conditions with Application to FUN3D >
I think the most similar variable is the eqn.36
but I can't understand the expression SU2 uses
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