Development and practical application of numerical modeling methods in the problems of mechanics of rarefied gas, aeroacoustics of propellers and high-altitude aerodynamics

The report will provide a brief overview of the author's results in the development and practical application of numerical methods for modeling gas flows in four main research areas. The first area is devoted to the development of high-precision nonlinear quasi-monotonic methods such as WENO and ADER for solving hyperbolic systems of conservation laws (gas dynamics, nonlinear elasticity). In the second direction, advanced numerical methods for solving kinetic equations for spatial problems are considered, including cost-effective implicit schemes and methods on movable grids. In the third direction, computational technology for modeling aeroacoustics of complex screw configurations in various flow modes using unstructured grids with inconsistent grid interfaces and its application in the Aeroacoustic Department of TsAGI is being developed. The fourth direction describes the development of an effective implicit numerical method for solving problems of high-altitude aerodynamics, taking into account nonequilibrium chemistry and real geometry (cutouts and superstructures), and its applications to the problems of calculating the flow around the return vehicle of a new generation manned transport vehicle (VAC PTK) in the interests of the RSC “Energy named after S.P. Korolev.