A high-order streamline Godunov scheme for steady supersonic flow computation Original Research Article

A space marching Godunov method using control volumes consisted of streamlines and the coordinate lines in the marching direction is described for the computation of two-dimensional and axisymmetric steady supersonic flows. These streamline meshes are solution-generated. They follow the fluid particles closely and also simplify the implementation of the Godunov method. A second order extension to the Godunov scheme using essentially nonoscillatory interpolation is also presented. Computations of various supersonic and hypersonic flow problems indicate that the method accurately represents smooth flow and crisply resolves all flow discontinuities such as shocks and slip lines even at high Mach numbers.