Abstract

A hybrid two-step explicit-implicit finite-difference scheme of second order of approximation is used for computing by the cruising method the three-dimensional supersonic flow of an ideal perfect gas past a blunt body. The basic system of equations is written in the form of conservation laws. Each step consists of two halfsteps, in the first of which the solution is found by the explicit scheme with one-sided differences; in the second half-step the stability condition inherent in explicit schemes is removed, by transforming the finite-difference equations to implicit form. At each implicit half-step a bidiagonal block system of equations is solved. When Courant's stability condition is satisfied, the implicit half-steps fall out automatically and the scheme becomes explicit.

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