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Abstract
Numerical, Godunov-type schemes for calculating time-dependent and steady supersonic flows are presented. They are based on the approximation of the flow parameters at the boundaries of the difference grid cells using approximate solutions of the corresponding problems of the gasdynamic discontinuity breakdown and the interaction between uniform supersonic flows. The solution of these problems is obtained from the relations that express the mass, momentum, and energy conservation laws for the gasdynamic equations in the mass variables when the wave velocities are taken in accordance with the upper bound. The schemes are economical, have a wide range of applicability, and ensure the calculation of expansion zones, the “smooth” passage through the sonic point at the change of sign of the characteristics, and the absence of oscillations on intense shocks.
Published Version
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