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 Показать полностьюequations 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