Auxiliary conditions (6, 6)

1. (1): h2 = cp * T2 + b * P2
2. (1): h1 = cp * T1 + b * P1
3. (1): h3 = cp * T3 + b * P3
4. (1): P2 = 0.5 * (P2_l + P2_r)
5. (1): P1 = 0.5 * (P1_l + P1_r)
6. (1): 0.0 = Q1 + (-Q2) - Q3