Some numerical results obtained for the case of spatial supersonic flow around elements of a complex-shaped flying vehicle are presented. The computations are performed on the basis of Euler equations. Analytical relations used to construct the complicated geometry of vehicle configurations are given. For the Mach number $M_{\infty} = 4.03$ and the angle of attack $\alpha = 10.1^{\circ}$, we analyze the numerical solutions to the problem of spatial flow around an isolated ogival-cylindrical body, an isolated delta wing with a diamond profile, and a body-wing combination. Our numerical results are compared with data of physical experiments.

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