Nikita Igorevich Tarasov

The work discusses the implementation features of the geometry construction web component. It is designed to prepare two-dimensional and three-dimensional models of aircraft surfaces within the digital environment. The web component allows user to obtain a geometric description suitable for constructing and marking a computational grid, which can be used in a numerical study of the flow around an aircraft.

The paper considers the problem of numerical modeling of nonlinear wave processes in a microwave generator with magnetic insulation, used to generate relativistic electron beams and the radiation they produce. A distinctive feature of the problem is the realistic three-dimensional geometry of the oscillator. The numerical analysis of the problem is based on a three-dimensional mathematical model involving Maxwell’s equations and the equations of motion for relativistic charged particles. The model takes into account the field emission of electrons from the cathode surface and the presence of relativistic plasma. A new numerical algorithm for solving the problem is proposed, combining explicit time-dependent schemes, the finite volume method on irregular grids, and the particle-in-cloud method. The software implementation is designed for parallel computing. To test the three-dimensional numerical approach, two relevant problems of generating relativistic electron beams in one- and two-dimensional formulations were considered. Analysis of the calculation results confirmed the reproduction of one- and two-dimensional solutions in the three-dimensional code.

The work is devoted to the application of the quasi-gasdynamic (QGD) approach to solving problems of flow around manned descent spacecraft on the final section of the trajectory near the Earth’s surface. The main objective of the work is the numerical analysis of the two-dimensional flow around the descent module at different angles of attack. The feature of the calculations performed is the use of the QGD equations and the finite volume method on an irregular triangular grid as a basic model. Parallel computing based on the OpenMP standard is used to speedup calculations. The gas environment is represented by dry atmospheric air. The QGD system is considered in a one-component formulation and is supplemented by the equations of state of an ideal gas and the dependencies of the kinetic coefficients on temperature and pressure. In numerical experiments, the distributions of density, pressure, temperature and velocity modulus are calculated for several angles of attack. The obtained results are consistent with the calculations in the ANSYS CFD package and confirm the effectiveness of the parallel computing technology used.

Суперкомпьютерное моделирование сверхзвукового течения вокруг тел вращения различной формы

The present work is devoted to the development of a numerical approach and parallel program code for studying the processes of supersonic gas flows around solid bodies of complex geometry. The main objective of the work is to analyze the behavior of numerical algorithms developed on the basis of a quasi-gasdynamic (QGD) system of equations and using unstructured hybrid grids. Bodies of revolution of different shapes are selected as streamlined objects. The gas medium is represented by dry air. The QGD system is considered in a one-component formulation and supplemented with the equations of state of an ideal gas and the dependences of the kinetic coefficients on temperature and pressure. In numerical experiments, axisymmetric flows around a cylinder, an ellipsoid, and a compound body are considered. Calculations are performed for three values of the inlet flow velocity. The obtained results confirm the correctness of the developed computational technology.