title: ÐÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð»Ð¾ÐºÐ°Ð»ÑÐ½Ð¾Ð¹ Ð°Ð´Ð°Ð¿ÑÐ°ÑÐ¸Ð¸ Ð½ÐµÑÑÑÑÐºÑÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¹ ÑÐµÑÐºÐ¸ Ð¿ÑÐ¸ ÑÐ°ÑÑÐµÑÐµ Ð´Ð²ÑÐ¼ÐµÑÐ½ÑÑ ÑÐ²ÐµÑÑ Ð·Ð²ÑÐºÐ¾Ð²ÑÑ ÑÐµÑÐµÐ½Ð¸Ð¹ ÑÐ¾ ÑÐºÐ°ÑÐºÐ°Ð¼Ð¸ ÑÐ¿Ð»Ð¾ÑÐ½ÐµÐ½Ð¸Ñ
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: Application of local adaptation methods for an unstructured grid in two-dimensional calculations of supersonic flows with shock waves
Creators: name: ÐÐ°ÑÐ°ÐµÐ², ÐÐ¸ÐºÐ¸ÑÐ°
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: 2020
Subjects: ÑÐ²ÐµÑÑ Ð·Ð²ÑÐºÐ¾Ð²ÑÐµ ÑÐµÑÐµÐ½Ð¸Ñ
ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
Ð¼ÐµÑÐ¾Ð´Ñ Ð´ÑÐ¾Ð±Ð»ÐµÐ½Ð¸Ñ/ÑÐ»Ð¸ÑÐ½Ð¸Ñ
Ð°Ð´Ð°Ð¿ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÐµ ÑÐµÑÐºÐ¸
Ð²Ð¸ÑÑÑÐ¸Ðµ ÑÐ·Ð»Ñ
supersonic flows
numeric simulation
mesh refinement
adapted grids
hanging nodes

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description: The subject of the graduate qualification work is "Application of local adaptation methods for an unstructured grid in two-dimensional calculations of supersonic flows with shock waves". The given work is devoted to the calculation of inviscid supersonic flow in a duct with a central wedge using adapted grids with hanging nodes and a study of different numerical aspects. During this work, unstructured finite volume program code, which can operate with adapted grids with hanging nodes, for supersonic flow calculations was developed. The code was verified by comparing the results of the test case with the results obtained using the SINF/Flag-S code developed at Peter the Great St.Petersburg Polytechnic University. Using ANSYS Fluent, inviscid supersonic flow in a duct with a central wedge was calculated applying dynamic mesh adaptation methods, and as a result, a set of adapted grids with hanging nodes was obtained. As a result of calculations using the developed program code, the features of numerical schemes in case of calculations of two-dimensional supersonic flows with shock waves using adapted grids were studied, such as quality of the solution near the shocks, appearance of oscillations and convergence rate. It is shown that using the adapted grids with hanging nodes leads to a better resolution of shock waves, however, the spurious oscillations can be observed in the numerical solution, the most monotone solution is obtained using the HLL scheme; using of a local time step significantly accelerates the convergence of the iterative process.