Сибирский федеральный университет

Тип публикации: статья из журнала

Год издания: 2017

Идентификатор DOI: 10.1007/978-3-319-57099-0_11

Ключевые слова: Time-dependent Navier-Stokes equations, Viscous heat-conducting gas, friable asteroid-comet body, semi-Lagrangian approximation, Conforming finite element method

Аннотация: In the paper, a mathematical model is proposed for the modeling of the complex of phenomena which accompany the passage of a friable asteroid-comet body through the Earth's atmosphere: the material ablation, the dissociation of molecules, and the ionization. The model is constructed on the basis of the time-dependent Navier-Stokes equations for viscous heat-conducting gas with an additional equation for the propagation of friable lumpy-dust material in air. A numerical algorithm is proposed for solving the formulated initial boundary-value problem as the combination of the semi-Lagrangian approximation for Lagrange transport derivatives and the conforming finite element method for other terms. A numerical example illustrates these approaches.

Журнал: Lecture Notes in Computer Science

Выпуск журнала: Т. 10187

Номера страниц: 119-131

ISSN журнала: 03029743

Издатель: Springer-Verlag GmbH

• Shaydurov V. (Krasnoyarsk Science Centre of the Siberian Branch of Russian Academy of Science)
• Shchepanovskaya G. (Krasnoyarsk Science Centre of the Siberian Branch of Russian Academy of Science)
• Yakubovich M. (Krasnoyarsk Science Centre of the Siberian Branch of Russian Academy of Science)

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