Application of Godunov's method to blunt-body calculations.

Abstract

A modification of Godunov's finite-difference method for computation of steady or unsteady flowfields about planar or axisymmetric blunt bodies is presented. Results for ideal gas flows over two body shapes are shown. The first case is that of a sphere in a Mach number 10.0 freestream, and is used to evaluate the accuracy of predicted results by comparison with other computations. Pressures and stagnation point velocity gradient are found to be accurate to within several percent and are improved in the stagnation region over the values previously achieved with the method. The second test shape is that of a spherically blunted cone both with sharp and rounded shoulders. Two freestream conditions were employed, one resulting in an essentially subsonic shock layer and the other in an essentially supersonic shock layer. Body pressures and shock shapes are presented and compared with available data.