| Abstract: | The use of potential theory to describe external flows at intermediate supersonic velocities makes it possible to construct very fast algorithms for calculating the flow even in the presence of subsonic regions 1, 2]. However, this approach involves errors associated with the neglect of the increase of entropy in the bow shock. The magnitude of these errors and their effect on the values of the various flow parameters are most easily estimated with reference to examples of conical flows. The shock-capturing projection-grid method 3] is used for integrating the conical potential equation. The results of calculating the flow past circular and elliptical cones, a triangular plate and a V-wing are compared with the corresponding solutions of the system of Euler equations. The region of applicability of the potential model is determined and it is shown that the satisfaction of the Hugoniot shock polar equation at the bow shock increases the error of the pressure calculations.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 112–118, May–June, 1990.In conclusion the authors wish to thank V. V. Kovalenko for calculating the Euler equations and A. N. Kraiko for discussing the results. |
