Sod Shock Tube

Governing Equations:

  • Numerical setup:

    • Single species: Ns = 1 and no reaction

    • Molecular weight: MW = 21.32 g/mol

    • Thermal properties: calorically perfect gas cp = 1538.22 kJ/kg/K, href = - 6.971 X 106 kJ/kg

    • Inviscid calculation

  • Initial conditions:

    • x < 0.05 m: (rhoL, uL, pL) = (1.000 kg/m3, 0.0 m/s, 1.0 MPa)

    • x >= 0.05 m: (rhoR, uR, pR) = (0.125 kg/m3, 0.0 m/s, 0.1 MPa)

  • Boundary conditions:

    • Upstream: rho = rhoL and u = uL

    • Downstream: p = pR