title: ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ ÑÐ¸Ð¿Ð° ÑÑÐµÐµÐº ÑÐ°ÑÑÐµÑÐ½Ð¾Ð¹ ÑÐµÑÐºÐ¸ Ð½Ð° ÑÐ¾ÑÐ½Ð¾ÑÑÑ ÑÐµÑÐµÐ½Ð¸Ñ ÑÑÐ´Ð° Ð¼Ð¾Ð´ÐµÐ»ÑÐ½ÑÑ Ð·Ð°Ð´Ð°Ñ Ð³Ð¸Ð´ÑÐ¾Ð´Ð¸Ð½Ð°Ð¼Ð¸ÐºÐ¸ 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: Investigation of the influence of the type of cells of the computational grid on the accuracy of solving a number of model problems of hydrodynamics in the OpenFOAM package
Creators: name: ÐÐ°Ð½Ð¸Ð»Ð¾Ð²Ð°, ÐÐºÐ°ÑÐµÑÐ¸Ð½Ð°
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: ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
ÑÐ¸Ð¿ ÑÐµÑÐ¾ÑÐ½Ð¾Ð³Ð¾ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ°
ÐºÐ¾Ð½Ð²ÐµÐºÑÐ¸Ð²Ð½ÑÐ¹ Ð¿ÐµÑÐµÐ½Ð¾Ñ ÑÐºÐ°Ð»ÑÑÐ°
ÑÐ²Ð¾Ð±Ð¾Ð´Ð½Ð°Ñ ÐºÐ¾Ð½Ð²ÐµÐºÑÐ¸Ñ
numerical simulation
grid element type
convective scalar transfer
free convection

description: Ð Ð°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ ÑÐµÑÐ¾Ðº Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ ÑÐ¸Ð¿Ð¾Ð² ÑÐµÑÐ¾ÑÐ½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð² Ð¸ ÑÑÐµÐ¼ Ð°Ð¿Ð¿ÑÐ¾ÐºÑÐ¸Ð¼Ð°ÑÐ¸Ð¸ ÐºÐ¾Ð½Ð²ÐµÐºÑÐ¸Ð²Ð½ÑÑ Ð¿Ð¾ÑÐ¾ÐºÐ¾Ð².Â  ÐÐ°Ð´Ð°ÑÐ¸, ÑÐµÑÐ°ÐµÐ¼ÑÐµ Ð² ÑÐ¾Ð´Ðµ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð¸Ñ ÑÐ°Ð±Ð¾ÑÑ: 1. ÐÑÐ²Ð¾ÐµÐ½Ð¸Ðµ Ð¿Ð°ÐºÐµÑÐ° Gmsh Ð´Ð»Ñ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ñ ÑÐµÑÑÐ°ÑÐ´ÑÐ°Ð»ÑÐ½ÑÑ (ÑÑÐµÑÐ³Ð¾Ð»ÑÐ½ÑÑ Ð¿ÑÐ¸Ð·Ð¼ Ð² ÑÐ»ÑÑÐ°Ðµ 2D) ÑÐµÑÐ¾Ðº, Ð° ÑÐ°ÐºÐ¶Ðµ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ðµ ÑÐµÑÐ¾Ðº ÑÐ¾ ÑÐ»ÐµÐ´ÑÑÑÐ¸Ð¼Ð¸ ÑÐ¸Ð¿Ð°Ð¼Ð¸ ÑÐµÑÐ¾ÑÐ½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð²: Ð¿ÑÑÐ¼Ð¾ÑÐ³Ð¾Ð»ÑÐ½Ð¸ÐºÐ¸ (2D), Ð¿ÑÑÐ¼Ð¾ÑÐ³Ð¾Ð»ÑÐ½ÑÐµ Ð¿Ð°ÑÐ°Ð»Ð»ÐµÐ»ÐµÐ¿Ð¸Ð¿ÐµÐ´Ñ (3D) Ð¸ Ð¼Ð½Ð¾Ð³Ð¾Ð³ÑÐ°Ð½Ð½ÑÐµ ÑÑÐµÐ¹ÐºÐ¸ (3D).Â  2. ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ ÑÐ¸Ð¿Ð° ÑÐµÑÐ¾ÑÐ½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð² Ð½Ð° ÑÐ¾ÑÐ½Ð¾ÑÑÑ ÑÐµÑÐµÐ½Ð¸Ñ Ð½ÐµÑÐºÐ¾Ð»ÑÐºÐ¸Ñ Ð·Ð°Ð´Ð°Ñ Ð²ÑÑÐ¸ÑÐ»Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð¹ Ð³Ð¸Ð´ÑÐ¾Ð´Ð¸Ð½Ð°Ð¼Ð¸ÐºÐ¸: Ð°)Â  Â  ÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð°Ñ Ð·Ð°Ð´Ð°ÑÐ° Ð¾ ÐºÐ¾Ð½Ð²ÐµÐºÑÐ¸Ð²Ð½Ð¾Ð¼ Ð¿ÐµÑÐµÐ½Ð¾ÑÐµ ÑÐºÐ°Ð»ÑÑÐ° Ð² Ð¿Ð¾ÑÑÐ¾ÑÐ½Ð½Ð¾Ð¼ Ð¿Ð¾Ð»Ðµ ÑÐºÐ¾ÑÐ¾ÑÑÐ¸ Ð² Ð²Ð¸Ð´Ðµ ÑÑÑÐ¿ÐµÐ½ÑÐºÐ¸; Ð±) Ð½ÐµÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð°Ñ Ð·Ð°Ð´Ð°ÑÐ° Ð¾ ÐºÐ¾Ð½Ð²ÐµÐºÑÐ¸Ð²Ð½Ð¾Ð¼ Ð¿ÐµÑÐµÐ½Ð¾ÑÐµ ÑÐºÐ°Ð»ÑÑÐ° Ð² Ð¿Ð¾ÑÑÐ¾ÑÐ½Ð½Ð¾Ð¼ Ð¿Ð¾Ð»Ðµ ÑÐºÐ¾ÑÐ¾ÑÑÐ¸ Ð² Ð²Ð¸Ð´Ðµ ÑÑÐ½ÐºÑÐ¸Ð¸ ÐÐ°ÑÑÑÐ°; Ð²) Ð»Ð°Ð¼Ð¸Ð½Ð°ÑÐ½Ð°Ñ ÑÐ²Ð¾Ð±Ð¾Ð´Ð½Ð°Ñ ÐºÐ¾Ð½Ð²ÐµÐºÑÐ¸Ñ Ð² ÐºÐ²Ð°Ð´ÑÐ°ÑÐ½Ð¾Ð¹ Ð¸ ÐºÑÐ±Ð¸ÑÐµÑÐºÐ¾Ð¹ Ð¿Ð¾Ð»Ð¾ÑÑÑÑ. Ð ÐµÐ·ÑÐ»ÑÑÐ°ÑÑ ÑÐ°ÑÑÐµÑÐ¾Ð² Ð¿Ð¾ÐºÐ°Ð·Ð°Ð»Ð¸, ÑÑÐ¾ Ð¿ÑÐ¸ ÑÐµÑÐµÐ½Ð¸Ð¸ Ð½ÐµÐºÐ¾ÑÐ¾ÑÑÑ Ð·Ð°Ð´Ð°Ñ Ð½Ð° ÑÑÐµÑÐ³Ð¾Ð»ÑÐ½ÑÑ, ÑÐµÑÑÐ°ÑÐ´ÑÐ°Ð»ÑÐ½ÑÑ Ð¸ Ð¼Ð½Ð¾Ð³Ð¾Ð³ÑÐ°Ð½Ð½ÑÑ ÑÐµÑÐºÐ°Ñ Ð¸Ð½Ð¾Ð³Ð´Ð° Ð²Ð¾Ð·Ð½Ð¸ÐºÐ°ÑÑ ÑÑÑÐ´Ð½Ð¾ÑÑÐ¸, Ð¿ÑÐ¸ÑÐ¾Ð¼ Ð¿ÑÑÐ¼Ð¾ÑÐ³Ð¾Ð»ÑÐ½ÑÐµ Ð¸ Ð¿Ð°ÑÐ°Ð»Ð»ÐµÐ»ÐµÐ¿Ð¸Ð¿ÐµÐ´Ð½ÑÐµ ÑÐµÑÐºÐ¸ Ð¿Ð¾ÐºÐ°Ð·ÑÐ²Ð°ÑÑ Ð»ÑÑÑÑÑ ÑÐ¾ÑÐ½Ð¾ÑÑÑ.
description: The work is devoted to the study of the effectiveness of the use of grids using various types of grid elements and schemes of approximation of convective flows.Â  Tasks to be solved during the execution of the work: 1. Mastering the Gmsh package for constructing tetrahedral (triangular prisms in the case of 2D) grids, as well as constructing grids with the following types of grid elements: rectangles (2D), rectangular parallelepipeds (3D) and polyhedral cells (3D). 2. Conducting a study of the influence of the type of grid elements on the accuracy of solving several computational fluid dynamics problems: a) the stationary problem of convective transfer of a scalar in a constant velocity field in the form of a step; b) the nonstationary problem of convective transfer of a scalar in a constant velocity field in the form of a Gaussian function; c) laminar free convection in square and cubic cavities. The results of the calculations showed that when solving some problems on triangular, tetrahedral and polyhedral grids, difficulties sometimes arise, moreover rectangular and parallelepiped grids show better accuracy.