2023 , Volume 28, № 2, p.42-57

The article addresses construction of economical finite-difference algorithms for spatial problems of hypersonic aerodynamics. A brief survey of modern models and algorithms used in this field is given. Their computational complexity due to the modelling of vibrational and chemical kinetics is examined. On the base of two-temperature model of a multicomponent dissociating gas new algorithms are constructed. The approximate factorization method or the predictor-corrector scheme with splitting of operators by physical processes and spatial directions are employed. Their realization at fractional steps to three-point scalar sweeps allows reducing number of arithmetic operations per grid node. Moreover, the number of operations increases linearly with the number of grid nodes and the number of equations. The proposed algorithms allow efficient parallelization.