title: Ð§Ð¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ð² Ð¾Ð±Ð»Ð°ÑÑÐ¸ ÑÐ¾ÑÐ»ÐµÐ½ÐµÐ½Ð¸Ñ Ð°ÑÑÐ¾Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¿ÑÐ¾ÑÐ¸Ð»Ñ Ð¸ Ð¿Ð»Ð°ÑÑÐ¸Ð½Ñ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Numerical simulation of a wing-body junction flow
Creators: name: ÐÐµ ÐÐ°Ð½Ñ ÐÐ°Ñ
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: 2023
Subjects: ÐÐ°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
Ð¢ÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾Ðµ ÑÐµÑÐµÐ½Ð¸Ðµ
Ð¿Ð¾Ð´ÐºÐ¾Ð²Ð¾Ð¾Ð±ÑÐ°Ð·Ð½ÑÐ¹ Ð²Ð¸Ñ ÑÑ
ÑÐ¾ÑÐ»ÐµÐ½ÐµÐ½Ð¸Ðµ Ð¿ÑÐ¾ÑÐ¸Ð»Ñ Ð¸ Ð¿Ð»Ð°ÑÑÐ¸Ð½Ñ
Ð¼Ð¾Ð´ÐµÐ»Ñ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾ÑÑÐ¸
horseshoe vortex
airfoil-wall junction
turbulence model

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð¼Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÑÐµÑÐ¼ÐµÑÐ½Ð¾Ð³Ð¾ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ð² Ð¾Ð±Ð»Ð°ÑÑÐ¸ ÑÐ¾ÑÐ»ÐµÐ½ÐµÐ½Ð¸Ñ Ð¿ÑÐ¾ÑÐ¸Ð»Ñ NACA0020 Ð¸ Ð¿Ð»Ð¾ÑÐºÐ¾Ð¹ Ð¿Ð»Ð°ÑÑÐ¸Ð½Ñ Ð² ÑÐ°Ð¼ÐºÐ°Ñ Ð¿Ð¾Ð´ÑÐ¾Ð´Ð° RANS Ð¿ÑÐ¸ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ð¸ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð³Ð¾ ÑÑÐµÐ´ÑÑÐ²Ð° (Ð¿Ð°ÐºÐµÑ OpenFOAM). ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: 1. ÐÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð¸Ðµ Ð¸ Ð°Ð½Ð°Ð»Ð¸Ð· ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² ÑÐ°ÑÑÐµÑÐ° ÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ð² Ð¾Ð±Ð»Ð°ÑÑÐ¸ ÑÐ¾ÑÐ»ÐµÐ½ÐµÐ½Ð¸Ñ Ð¿ÑÐ¾ÑÐ¸Ð»Ñ Ð¸ Ð¿Ð»Ð°ÑÑÐ¸Ð½Ñ. 2. ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ ÑÐµÑÐ¾ÑÐ½Ð¾Ð¹ ÑÑÐ²ÑÑÐ²Ð¸ÑÐµÐ»ÑÐ½Ð¾ÑÑÐ¸ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ, Ð¿Ð¾Ð»ÑÑÐ°ÐµÐ¼Ð¾Ð³Ð¾ Ð´Ð»Ñ ÑÑÐµÑÐ¼ÐµÑÐ½Ð¾Ð¹ Ð·Ð°Ð´Ð°ÑÐ¸ Ð¾Ð±ÑÐµÐºÐ°Ð½Ð¸Ñ Ð¾Ð±Ð»Ð°ÑÑÐ¸ ÑÐ¾ÑÐ»ÐµÐ½ÐµÐ½Ð¸Ñ Ð¿ÑÐ¾ÑÐ¸Ð»Ñ Ð¸ Ð¿Ð»Ð°ÑÑÐ¸Ð½Ñ. 3. ÐÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð¸Ðµ ÑÐ°ÑÑÐµÑÐ¾Ð² ÑÑÐµÑÐ¼ÐµÑÐ½Ð¾Ð³Ð¾ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾Ð³Ð¾ Ð¾Ð±ÑÐµÐºÐ°Ð½Ð¸Ñ Ð¾Ð±Ð»Ð°ÑÑÐ¸ ÑÐ¾ÑÐ»ÐµÐ½ÐµÐ½Ð¸Ñ Ð¿ÑÐ¾ÑÐ¸Ð»Ñ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾ÑÑÐ¸. ÐÐ½Ð°Ð»Ð¸Ð· ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² ÑÐ°ÑÑÐµÑÐ¾Ð² Ð² ÑÐ¾Ð¿Ð¾ÑÑÐ°Ð²Ð»ÐµÐ½Ð¸Ð¸ Ñ Ð´Ð°Ð½Ð½ÑÐ¼Ð¸ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°. Ð ÑÐ°Ð±Ð¾ÑÐµ Ð±ÑÐ»Ð¸ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ ÑÐ°ÑÑÐµÑÑ Ð² Ð´ÐµÑÐ°Ð»ÑÑ, Ð¿Ð¾ÐºÐ°Ð·ÑÐ²Ð°ÑÑÐ¸Ðµ, ÐºÐ°ÐºÐ¸Ð¼ Ð¾Ð±ÑÐ°Ð·Ð¾Ð¼ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÑ ÑÐ°ÑÑÐµÑÐ½Ð¾Ð¹ ÑÐµÑÐºÐ¸ Ð¸ ÑÐ°Ð·Ð½ÑÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ RANS (Ð² ÑÐ»ÑÑÐ°Ðµ ÑÐµÑÐ¾ÑÐ½Ð¾-Ð½ÐµÐ·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ) Ð²Ð»Ð¸ÑÑÑ Ð½Ð° ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ ÑÐµÑÐµÐ½Ð¸Ðµ ÑÐ°ÑÑÐ¼Ð°ÑÑÐ¸Ð²Ð°ÐµÐ¼Ð¾Ð¹ Ð·Ð°Ð´Ð°ÑÐ¸. Ð ÐµÐ·ÑÐ»ÑÑÐ°ÑÑ ÑÐ°ÑÑÐµÑÐ¾Ð² Ð±ÑÐ»Ð¸ Ð¿ÑÐ¾Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ñ Ð¸ ÑÐ¾Ð¿Ð¾ÑÑÐ°Ð²Ð»ÐµÐ½Ñ Ñ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÐ¼Ð¸ Ð´Ð°Ð½Ð½ÑÐ¼Ð¸. ÐÐ¾Ð»ÑÑÐµÐ½Ð½ÑÐµ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð¿Ð¾Ð´ÑÐ²ÐµÑÐ´Ð¸Ð»Ð¸ ÑÐ°Ð½ÐµÐµ Ð¾Ð·Ð²ÑÑÐµÐ½Ð½ÑÐ¹ Ð² Ð»Ð¸ÑÐµÑÐ°ÑÑÑÐµ Ð²ÑÐ²Ð¾Ð´ Ð¾ ÑÐ¾Ð¼, ÑÑÐ¾ Ð´Ð»Ñ ÑÐ°ÑÑÐ¼Ð°ÑÑÐ¸Ð²Ð°ÐµÐ¼Ð¾Ð¹ ÐºÐ¾Ð½ÑÐ¸Ð³ÑÑÐ°ÑÐ¸Ð¸ Ð½Ð¸ÐºÐ°ÐºÐ¸Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ RANS, Ð¸ Ð´Ð°Ð¶Ðµ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð·Ð°Ð¼ÑÐºÐ°Ð½Ð¸Ñ Ð²ÑÐ¾ÑÐ¾Ð³Ð¾ Ð¿Ð¾ÑÑÐ´ÐºÐ° â RSM, Ð½Ðµ Ð¼Ð¾Ð³ÑÑ Ð¿ÑÐµÐ´ÑÐºÐ°Ð·Ð°ÑÑ Ð¿ÑÐ°Ð²Ð¸Ð»ÑÐ½ÑÑ ÑÑÑÑÐºÑÑÑÑ Ð¸ Ð¿Ð¾Ð»Ð¾Ð¶ÐµÐ½Ð¸Ðµ ÑÐ¸ÑÑÐµÐ¼Ñ Ð²Ð¸ÑÑÐµÐ¹, ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸Ð·ÑÑÑÐ¸Ñ Ð´Ð°Ð½Ð½Ð¾Ðµ ÑÐµÑÐµÐ½Ð¸Ðµ. Ð ÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð½Ð°ÑÑÐ¾ÑÑÐµÐ³Ð¾ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¿Ð¾Ð»ÐµÐ·Ð½Ñ Ð½Ðµ ÑÐ¾Ð»ÑÐºÐ¾ Ð´Ð»Ñ Ð¾ÑÐµÐ½ÐºÐ¸ ÑÐ°Ð±Ð¾ÑÐ¾ÑÐ¿Ð¾ÑÐ¾Ð±Ð½Ð¾ÑÑÐ¸ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾ÑÑÐ¸ RANS, Ð½Ð¾ Ð¸ ÐºÐ°Ðº ÑÐµÐºÐ¾Ð¼ÐµÐ½Ð´Ð°ÑÐµÐ»ÑÐ½ÑÐµ Ð´Ð°Ð½Ð½ÑÐµ Ð´Ð»Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð°Ð½Ð°Ð»Ð¾Ð³Ð¸ÑÐ½ÑÑ Ð·Ð°Ð´Ð°Ñ Ð² Ð¸Ð½Ð¶ÐµÐ½ÐµÑÐ½Ð¾Ð¹ Ð¿ÑÐ°ÐºÑÐ¸ÐºÐµ.
description: The given work is devoted to RANS-based numerical simulation of three-dimensional turbulent flow in the junction region around a wall-mounted NACA 0020 airfoil using the CFD software package known as OpenFOAM. The research sets the following goals: 1. Perform numerical simulation of a steady flow in the wing-body junction and analyze the results. 2. Investigate the grid sensitivity of the numerical solution obtained for the three-dimensional problem of the wing-body junction flow. 3. Perform calculations of the three-dimensional turbulent junction using various turbulence models and analyze the calculation results in comparison with experimental data. In this thesis report, the calculations were carried out in detail, showing how the parameters of the computational grid and different RANS models (in case of a grid-independent solution) affected the numerical solution of the problem under consideration. The calculation results were analyzed and compared with experimental data. The obtained results confirm the conclusion previously stated in the literature, that no RANS models, even a second-order closure model â RSM, are able to predict a correct structure and position of the horseshoe vortex system, which characterize the junction flow. The results of this study are useful not only for assessing the performance of RANS turbulence models, but also as recommendation data for solving similar problems in engineering practice.