A high-order streamline Godunov scheme for steady supersonic/hypersonic equilibrium flows Original Research Article

A space marching Godunov-type method using control volumes consisted of streamlines and the coordinate lines in the marching direction is described for the computation of steady supersonic/hypersonic equilibrium flows. A steady Riemann problem and its solution for equilibrium gases is described and used in the Godunov method. Both Tannehillʹs equilibrium air program and Lighthillʹs ideal dissociating gas model are used to calculate the equilibrium gas properties. The streamline meshes are automatically solution generated. The use of streamline meshes enables a crisp resolution of sliplines and simplifies the Godunov solution procedure. Extensive computations of various steady two-dimensional and three-dimensional axisymmetrical supersonic/hypersonic equilibrium flows are included to illustrate the method.