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A Mathematical Model and a Numerical Algorithm for an Asteroid-Comet Body in the Earth’s Atmosphere

  • V. ShaydurovEmail author
  • G. Shchepanovskaya
  • M. Yakubovich
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10187)

Abstract

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.

Keywords

Time-dependent Navier-Stokes equations Viscous heat-conducting gas Friable asteroid-comet body semi-Lagrangian approximation Conforming finite element method 

Notes

Acknowledgements

The work is supported by Project 14-11-00147 of Russian Scientific Foundation.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • V. Shaydurov
    • 1
    Email author
  • G. Shchepanovskaya
    • 1
  • M. Yakubovich
    • 1
  1. 1.Institute of Computational Modeling of Siberian Branch of Russian Academy of SciencesKrasnoyarskRussia

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