title: Ð§Ð¸ÑÐ»ÐµÐ½Ð½ÑÐµ Ð¼ÐµÑÐ¾Ð´Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ ÑÐ°Ð½Ð³ÐµÐ½ÑÐ¸Ð°Ð»ÑÐ½ÑÑ ÑÐ°Ð·ÑÑÐ²Ð¾Ð²
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 methods for studying the stability of the tangential discontinuities
Creators: name: ÐÐ¾Ð²Ð°Ð»ÐµÐ², Ð¡ÐµÑÐ³ÐµÐ¹
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: 2021
Subjects: Ð§Ð¸ÑÐ»ÐµÐ½Ð½ÑÐµ Ð¼ÐµÑÐ¾Ð´Ñ
ÐÐ¸Ð´ÑÐ¾Ð´Ð¸Ð½Ð°Ð¼Ð¸ÐºÐ°
ÑÐ°Ð½Ð³ÐµÐ½ÑÐ¸Ð°Ð»ÑÐ½ÑÐ¹ ÑÐ°Ð·ÑÑÐ²
Ð½ÐµÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÑ ÐÐµÐ»ÑÐ²Ð¸Ð½Ð°-ÐÐµÐ»ÑÐ¼Ð³Ð¾Ð»ÑÑÐ°
ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ ÐÐÐ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ

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description: The main goal of this work is studing the stability of the tangential discontinuity using the PLUTO code. The research set the following goals: Derivation of the dispersion equation in plane geometry and obtaining the criterion for the stability of the tangential discontinuity; Modeling the tangential discontinuity instability using the PLUTO code; Investigation of the influence of the compressibility, magnetic field, turbulence on the stability of the tangential discontinuity. The calculations were carried out to derive the dispersion equation in plane geometry and to obtain the criterion for the stability of the tangential discontinuity. After that, the analysis of the stability of the tangential discontinuity was carried out by the method of numerical simulation using the PLUTO software. As a result, the influence of the compressibility of the medium, magnetic field, turbulence on the stability of the tangential discontinuity was investigated. It was also shown that when the critical values of the compressibility and the magnetic field are reached, the tangential discontinuity is stabilized.