Calculation of shock-wave parameters far from origination by combined numerical-analytical methods

An algorithm is proposed for calculating the parameters of weak shock waves at large distances from their origination. In chosen meridional planes, the parameters of the near field of the three-dimensional flow are used to determine the streamwise coordinates of “phantom bodies” by linear relations. When the initial body is replaced by a system of “phantom bodies” for which discrete values of the Whitham function are found, the far-field parameters are calculated by the Whitham theory, independently in each meridional plane. Results calculated for a body with axial symmetry and for bodies with spatial symmetry are presented.