Аннотация:Results of theoretical and experimental investigations of problems of supersonic and hypersonic flows over models of real spacecraft configurations are covered. Theoretical studies are carried out on the basis of solutions of the Navier-Stokes equations with the equilibrium and non-equilibrium chemical reactions which take place against the background of relaxation of excited internal degrees of freedom of the particles in the shock layer and the rigid surface. A research direction associated with the development of large software systems at all stages of the design of modern examples of aerospace technology is developed. The methods of decomposition for modeling near-wall turbulent flows are considered.