title: Ð§Ð¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð´Ð²ÑÐ¼ÐµÑÐ½ÑÑ ÑÐ²ÐµÑÑ Ð·Ð²ÑÐºÐ¾Ð²ÑÑ ÑÐµÑÐµÐ½Ð¸Ð¹ Ð³Ð°Ð·Ð° Ð² Ð¿Ð°ÐºÐµÑÐµ OpenFOAM
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Numerical modeling of two-dimensional supersonic gas flows in the OpenFOAM package
Creators: name: ÐÑÐ»Ð¸ÐµÐ², Ð­Ð»ÑÐ²Ð¸Ð½
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2022
Subjects: Ð²ÑÑÐ¾ÐºÐ¾ÑÐºÐ¾ÑÐ¾ÑÑÐ½ÑÐµ ÑÐµÑÐµÐ½Ð¸Ñ
Ð³Ð°Ð·Ð¾Ð²Ð°Ñ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÐºÐ°
ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
ÑÑ ÐµÐ¼Ñ Ð³Ð¾Ð´ÑÐ½Ð¾Ð²ÑÐºÐ¾Ð³Ð¾ ÑÐ¸Ð¿Ð°
Ð¼ÐµÑÐ¾Ð´Ñ ÑÐºÐ²Ð¾Ð·Ð½Ð¾Ð³Ð¾ ÑÑÐµÑÐ°
ÑÑ ÐµÐ¼Ñ Ð°Ð¿Ð¿ÑÐ¾ÐºÑÐ¸Ð¼Ð°ÑÐ¸Ð¸ ÐºÐ¾Ð½Ð²ÐµÐºÑÐ¸Ð²Ð½ÑÑ Ð¿Ð¾ÑÐ¾ÐºÐ¾Ð²
ÑÑ ÐµÐ¼Ñ ÑÐ°ÑÑÐµÐ¿Ð»ÐµÐ½Ð¸Ñ Ð¿Ð¾ÑÐ¾ÐºÐ¾Ð²
high-speed flows
gas dynamics
numerical simulation
godunov-type schemes
shock-capturing method
convective fluxes approximation schemes
flux splitting schemes

description: Ð¢ÐµÐ¼Ð° Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ: Â«Ð§Ð¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð´Ð²ÑÐ¼ÐµÑÐ½ÑÑ ÑÐ²ÐµÑÑÐ·Ð²ÑÐºÐ¾Ð²ÑÑ ÑÐµÑÐµÐ½Ð¸Ð¹ Ð³Ð°Ð·Ð° Ð² Ð¿Ð°ÐºÐµÑÐµ OpenFOAMÂ». Ð Ð°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐµ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð°Ð¿Ð¿ÑÐ¾ÐºÑÐ¸Ð¼Ð°ÑÐ¸Ð¸ Ð²ÐµÐºÑÐ¾ÑÐ° ÐºÐ¾Ð½Ð²ÐµÐºÑÐ¸Ð²Ð½ÑÑ Ð¿Ð¾ÑÐ¾ÐºÐ¾Ð² Ð¸ ÑÐµÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿Ð°ÐºÐµÑÐ° OpenFOAM Ð¿ÑÐ¸Ð¼ÐµÐ½Ð¸ÑÐµÐ»ÑÐ½Ð¾ Ðº Ð·Ð°Ð´Ð°ÑÐ°Ð¼ Ð³Ð°Ð·Ð¾Ð²Ð¾Ð¹ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÐºÐ¸. ÐÐ°Ð´Ð°ÑÐ¸ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ:Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð°Ð¿Ð¿ÑÐ¾ÐºÑÐ¸Ð¼Ð°ÑÐ¸Ð¸ Ð²ÐµÐºÑÐ¾ÑÐ° ÐºÐ¾Ð½Ð²ÐµÐºÑÐ¸Ð²Ð½ÑÑ Ð¿Ð¾ÑÐ¾ÐºÐ¾Ð². ÐÑÐ±Ð¾Ñ ÑÐµÑÑÐ¾Ð²ÑÑ Ð·Ð°Ð´Ð°Ñ, Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ ÑÐ¾Ð¿Ð¾ÑÑÐ°Ð²Ð¸ÑÐµÐ»ÑÐ½ÑÑ ÑÐ°ÑÑÐµÑÐ¾Ð², Ð²ÑÑÐ²Ð»ÐµÐ½Ð¸Ðµ Ð´Ð¾ÑÑÐ¾Ð¸Ð½ÑÑÐ² Ð¸ Ð½ÐµÐ´Ð¾ÑÑÐ°ÑÐºÐ¾Ð² ÑÐ¸ÑÐ»ÐµÐ½Ð½ÑÑ Ð¼ÐµÑÐ¾Ð´Ð¾Ð². ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ÑÑÐµÐ¹ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ ÑÑÐ½ÐºÑÐ¸Ð¹ Ð¾Ð³ÑÐ°Ð½Ð¸ÑÐ¸ÑÐµÐ»ÐµÐ¹ Ð² Ð¿ÑÐ¾ÑÐµÐ´ÑÑÐµ ÑÐµÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ð¸ Ð³Ð°Ð·Ð¾Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¸Ñ Ð¿ÐµÑÐµÐ¼ÐµÐ½Ð½ÑÑ. ÐÑÐµ ÑÐ°ÑÑÐµÑÑ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸Ð»Ð¸ÑÑ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð³Ð¾ Ð¿Ð°ÐºÐµÑÐ° OpenFOAM, Ð¿ÑÐµÐ´Ð½Ð°Ð·Ð½Ð°ÑÐµÐ½Ð½Ð¾Ð³Ð¾ Ð´Ð»Ñ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð·Ð°Ð´Ð°Ñ Ð¼ÐµÑÐ°Ð½Ð¸ÐºÐ¸ ÑÐ¿Ð»Ð¾ÑÐ½ÑÑ ÑÑÐµÐ´. Ð Ð¿ÑÐ¾ÑÐµÑÑÐµ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð¸Ñ Ð´Ð¸Ð¿Ð»Ð¾Ð¼Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ Ð²ÐµÑÐ²Ñ Ð¿Ð°ÐºÐµÑÐ° Ð´Ð»Ñ ÑÐ°ÑÑÐµÑÐ° Ð²ÑÑÐ¾ÐºÐ¾ÑÐºÐ¾ÑÐ¾ÑÑÐ½ÑÑ ÑÐµÑÐµÐ½Ð¸Ð¹ Ð±ÑÐ»Ð° Ð´Ð¾Ð¿Ð¾Ð»Ð½ÐµÐ½Ð° Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÑÑ Ð°Ð¿Ð¿ÑÐ¾ÐºÑÐ¸Ð¼Ð°ÑÐ¸Ð¸ Ð²ÐµÐºÑÐ¾ÑÐ° ÐºÐ¾Ð½Ð²ÐµÐºÑÐ¸Ð²Ð½ÑÑ Ð¿Ð¾ÑÐ¾ÐºÐ¾Ð² Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ ÑÐ»ÐµÐ´ÑÑÑÐ¸Ñ ÑÐ¸ÑÐ»ÐµÐ½Ð½ÑÑ Ð¼ÐµÑÐ¾Ð´Ð¾Ð²: AUSM, AUSM+, HLL, HLLC, ÑÑÐµÐ¼Ð° Ð ÑÑÐ°Ð½Ð¾Ð²Ð°.
description: The subject of the graduate qualification work: âNumerical modeling of two-dimensional supersonic gas flows in the OpenFOAM packageâ. The work is devoted to the development of methods for approximating the vector of convective fluxes and testing OpenFOAM package as applied to the problems of gas dynamics. Research objectives: Development of methods for approximating the vector of convective fluxes. Selection of test problems, comparative calculations, identification of the advantages and disadvantages of numerical methods. Study of the features of the use of limiter functions in the procedure for the reconstruction of gas-dynamic variables. All calculations were carried out using the OpenFOAM software package, designed for numerical simulation of problems in continuum mechanics. During the thesis, the branch of this package for calculating high-speed flows was supplemented with the possibility of approximating the vector of convective fluxes using the following numerical methods: AUSM, AUSM+, HLL, HLLC, Rusanovâs scheme.