An analytical method for the construction of a geometric model that can be used for numerical studies of spatial supersonic flows over complex aerodynamic configurations is proposed. Some analytical relations for constructing the complex geometry of bodies and a building algorithm for isolated variable sweepback wings with parabolic profiles and flat midsurface are given. The problem of constructing the geometry of composite configurations of higher levels (such as a "body+wing" combination ) is considered; an algorithm for the realization of joining the components of this geometry is described. The problem of spatial wing flow for the supersonic civil transport TU-144 is analyzed numerically for Mach number M=2.27 and angles of attack range from 1.3 to 8.3 degrees. Our numerical results are compared with data of physical experiments.

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