title: ÐÐ»Ð¸ÑÐ½Ð¸Ðµ ÑÐ¿Ð¾ÑÐ¾Ð±Ð° ÑÐµÐ³ÑÐ»ÑÑÐ¸Ð·Ð°ÑÐ¸Ð¸ ÑÐ¸ÑÑÐµÐ¼Ñ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ð¹ Ð´Ð»Ñ Ð´Ð²ÑÑ Ð¶Ð¸Ð´ÐºÐ¾ÑÑÐ½Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¼Ð½Ð¾Ð³Ð¾ÑÐ°Ð·Ð½Ð¾Ð¹ ÑÑÐµÐ´Ñ Ð½Ð° ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ ÑÐµÑÐµÐ½Ð¸Ðµ Ð·Ð°Ð´Ð°ÑÐ¸ Ð¾ Ð´Ð²Ð¸Ð¶ÐµÐ½Ð¸Ð¸ ÑÐ´Ð°ÑÐ½Ð¾Ð¹ Ð²Ð¾Ð»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: The influence of regularization methods of the system of equations for a two-fluid model of a multiphase medium on the numerical solution of the problem of the motion of a shock wave
Creators: name: ÐÐ»ÐµÐºÑÐµÐµÐ², ÐÐ°Ð²ÐµÐ»
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Ð¸ÑÐ»ÐµÐ½Ð½ÑÐ¹ Ð¼ÐµÑÐ¾Ð´
ÑÐ¸ÑÐ»ÐµÐ½Ð½ÑÐµ ÑÑ ÐµÐ¼Ñ
Ð´Ð²ÑÑ Ð¶Ð¸Ð´ÐºÐ¾ÑÑÐ½Ð°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ
Ð¼Ð½Ð¾Ð³Ð¾ÑÐ°Ð·Ð½Ð°Ñ Ð¶Ð¸Ð´ÐºÐ¾ÑÑÑ
ÑÐµÑÐµÐ½Ð¸Ðµ Ð¼Ð½Ð¾Ð³Ð¾ÑÐ°Ð·Ð½Ð¾Ð¹ ÑÑÐµÐ´Ñ
ÑÐ´Ð°ÑÐ½Ð°Ñ ÑÑÑÐ±Ð°
ÑÐ´Ð°ÑÐ½ÑÐµ Ð²Ð¾Ð»Ð½Ñ
Ð¼Ð¾Ð´ÐµÐ»Ñ ÐÐ°Ð¹ÐµÑÐ°-ÐÑÐ½Ð´Ð·Ð¸Ð°ÑÐ¾
numerical method
numerical schemes
two-fluid model
multiphase fluid
multiphase flow
shock tube
shock waves
Bayer-Nunziato model

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»Ð¸ÑÐ½Ð¸Ðµ ÑÐ¿Ð¾ÑÐ¾Ð±Ð° ÑÐµÐ³ÑÐ»ÑÑÐ¸Ð·Ð°ÑÐ¸Ð¸ ÑÐ¸ÑÑÐµÐ¼Ñ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ð¹ Ð´Ð»Ñ Ð´Ð²ÑÑÐ¶Ð¸Ð´ÐºÐ¾ÑÑÐ½Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¼Ð½Ð¾Ð³Ð¾ÑÐ°Ð·Ð½Ð¾Ð¹ ÑÑÐµÐ´Ñ Ð½Ð° ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ ÑÐµÑÐµÐ½Ð¸Ðµ Ð·Ð°Ð´Ð°ÑÐ¸ Ð¾ Ð´Ð²Ð¸Ð¶ÐµÐ½Ð¸Ð¸ ÑÐ´Ð°ÑÐ½Ð¾Ð¹ Ð²Ð¾Ð»Ð½ÑÂ».
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2. ÐÐ·ÑÑÐµÐ½Ð¸Ðµ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ ÑÑÐµÐ¼ ÑÐ°ÑÑÑÑÐ° Ð¿Ð¾ÑÐ¾ÐºÐ¾Ð².
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4. ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² ÑÐµÐ³ÑÐ»ÑÑÐ¸Ð·Ð°ÑÐ¸Ð¸ Ð½Ð° ÑÐµÐ·ÑÐ»ÑÑÐ°Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð¿Ð¾ ÑÐ¾Ð¹ Ð¸Ð»Ð¸ Ð¸Ð½Ð¾Ð¹ Ð¼ÐµÑÐ¾Ð´Ð¸ÐºÐµ 
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Ð Ð°Ð±Ð¾ÑÐ° Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð° Ð² ÐÑÑÑÐµÐ¹ Ð¨ÐºÐ¾Ð»Ðµ ÐÑÐ¸ÐºÐ»Ð°Ð´Ð½Ð¾Ð¹ ÐÐ°ÑÐµÐ¼Ð°ÑÐ¸ÐºÐ¸ Ð¸ ÐÑÑÐ¸ÑÐ»Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð¹ Ð¤Ð¸Ð·Ð¸ÐºÐ¸ Ð½Ð° Ð¿ÐµÑÑÐ¾Ð½Ð°Ð»ÑÐ½Ð¾Ð¼ ÐºÐ¾Ð¼Ð¿ÑÑÑÐµÑÐµ. ÐÐµÑÐ¾Ð´Ñ ÑÐµÐ³ÑÐ»ÑÑÐ¸Ð·Ð°ÑÐ¸Ð¸ Ð±ÑÐ»Ð¸ ÑÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½Ñ Ð² Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ðµ, ÐºÐ¾ÑÐ¾ÑÐ°Ñ Ð±ÑÐ»Ð° Ð½Ð°Ð¿Ð¸ÑÐ°Ð½Ð° Ð½Ð° ÑÐ·ÑÐºÐµ FORTRAN 90. ÐÑÐ»Ð¸ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ ÑÐ°ÑÑÑÑÑ, Ð¿Ð¾ÐºÐ°Ð·ÑÐ²Ð°ÑÑÐ¸Ðµ ÐºÐ°ÐºÐ¸Ð¼ Ð¾Ð±ÑÐ°Ð·Ð¾Ð¼ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¸ ÑÑÐµÐ¼Ñ Ð²Ð»Ð¸ÑÐ»Ð¸ Ð½Ð° Ð¿Ð¾Ð»ÑÑÐ°ÐµÐ¼Ð¾Ðµ ÑÐµÑÐµÐ½Ð¸Ðµ Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÐ¼ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸ÐµÐ¼ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² Ð¿Ð¾ ÑÑÑÐ±Ðµ. ÐÐ½Ð°Ð»Ð¸Ð· ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸Ð»ÑÑ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ñ TecPlot 360 EX 2014 R1, ÐºÐ¾ÑÐ¾ÑÑÐ¹ Ð¿Ð¾Ð·Ð²Ð¾Ð»Ð¸Ð» Ð²Ð¸Ð·ÑÐ°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°ÑÑ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÐµ ÑÐµÑÐµÐ½Ð¸Ñ.
description: The theme of graduation qualification work: âThe influence of the methods of regularizing the system of equations for the two-fluid model of a multiphase medium on the numerical solution of the problem of the motion of a shock waveâ.
This work is devoted to the study of various ways of regularizing the system of equations obtained by using the Bayer-Nunziato model, which describe the flow of a multiphase fluid. Tasks that were solved during the study:
1. The study of various methods of regularization of a system of equations.
2. The study of various flow calculation schemes.
3. Writing a numerical code that implements various schemes and methods of regularization.
4. Study of the influence of various regularization methods on the flow in the shock tube.
5. Study of the distribution of parameters of liquids on the work of models.
 The work was carried out at the Higher School of Applied Mathematics and Computational Physics on a personal computer. Regularization methods were implemented in a program that was written in the FORTRAN 90 language. Calculation were performed to show the difference in influence on the numerical solution by different methods, schemes and parameter distribution along the shock tube. Analysis of the results was carried out using the TecPlot 360 EX 2014 R1, which allowed visualizing the obtained data.