Development of Monte Carlo Methods in Hypersonic Aerodynamics

摘要

The advantage of Monte Carlo methods in the computational aerodynamics and application of these methods in rarefied fields are described in the present paper. The direct statistical simulation of aerodynamics processes with the solution of kinetic equations is considered. It is shown that the modern stage of the development of computational methods is impossible without the use of the complex approach (its physical nature, mathematical model, the theory of computational mathematics, and stochastic processes) to the development of algorithms. Main directions of the development of the direct simulation of Monte Carlo method in computational aerodynamics are discussed. Some calculation results by using Monte Carlo method are presented.