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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: Calculation of the flow of a multiphase medium in a one-dimensional formulation in the barotropic approximation according to the scheme of an increased order of accuracy
Creators: name: ÐÐ³Ð½Ð°ÑÑÐµÐ², Ð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: Ð¼Ð½Ð¾Ð³Ð¾ÑÐ°Ð·Ð½Ð¾ÑÑÑ
Ð¾Ð±ÑÐµÐµ Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ðµ
Ð¸ÑÐºÑÑÑÑÐ²ÐµÐ½Ð½Ð°Ñ Ð²ÑÐ·ÐºÐ¾ÑÑÑ
Ð±Ð°ÑÐ¾ÑÑÐ¾Ð¿Ð½Ð¾Ðµ Ð¿ÑÐ¸Ð±Ð»Ð¸Ð¶ÐµÐ½Ð¸Ðµ
ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¸Ð½ÑÐµÐ³ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
multiphase
common pressure
artificial viscosity
barotropic approximation
numerical integration

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description: The subject of the graduate qualification work is "Calculation of the flow of a multiphase medium in a one-dimensional formulation in the barotropic approximation according to the scheme of an increased order of accuracy. "This paper is devoted to solving a system of multiphase flows using a family of numerical schemes. Tasks that were solved during the study: To compile program codes for integrating a system of equations describing the flow state within a multi-fluid model in a barotropic approximation with common pressure using algorithms: non-iterative, iterative, predictor-corrector. To compare programs for determining the boundary of stable calculations in solving nonlinear problems. Compare the obtained solutions on the accuracy of reproducing the behavior of the function. Estimate the real time of the test calculation according to different codes. As a result of the work, a comparison of the compiled algorithms for solving the problem of the decay of a gap in a three-fluid formulation is carried out. The distributions obtained using the predictor-corrector algorithm turned out to be the closest to the reference solution, and it also has the largest allowable Courant number = 0.92. The non-iterative algorithm has the shortest calculation execution time, while on coarse grids the difference with the predictor-corrector is not decisive. The studied algorithms can be applied in the calculation of multiphase flows: cavitation and coolant flows, etc.