A mathematical model of the passage of an asteroidcomet body through the Earth’s atmosphere
In the paper, a mathematical model and a numerical algorithm are proposed for modeling the complex of phenomena which accompany the passage of a friable asteroidcomet body through the Earth’s atmosphere: the material ablation, the dissociation of molecules, and the radiation. The proposed model is constructed on the basis of the NavierStokes equations for viscous heatconducting gas with an additional equation for the motion and propagation of a friable lumpydust material in air. The energy equation is modified for the relation between two its kinds: the usual energy of the translation of molecules (which defines the temperature and pressure) and the combined energy of their rotation, oscillation, electronic excitation, dissociation, and radiation. For the mathematical model of atmosphere, the distribution of density, pressure, and temperature in height is taken as for the standard atmosphere. An asteroidcomet body is taken initially as a round body consisting of a friable lumpydust material with corresponding density and significant viscosity which far exceed those for the atmosphere gas. A numerical algorithm is proposed for solving the initialboundary problem for the extended system of NavierStokes equations. The algorithm is the combination of the semiLagrangian approximation for Lagrange transport derivatives and the conforming finite element methodmore »
 Authors:

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 Institute of Computational Modeling of SB RAS, 660036 Akademgorodok, Krasnoyarsk (Russian Federation)
 (Russian Federation)
 Publication Date:
 OSTI Identifier:
 22492603
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: AIP Conference Proceedings; Journal Volume: 1684; Journal Issue: 1; Conference: AMiTaNS'15: 7. international conference for promoting the application of mathematics in technical and natural sciences, Albena (Bulgaria), 28 Jun  3 Jul 2015; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ABLATION; ALGORITHMS; APPROXIMATIONS; ASTEROIDS; COMETS; DENSITY; DISSOCIATION; DUSTS; EXCITATION; FINITE ELEMENT METHOD; HEAT; LAGRANGIAN FUNCTION; MATHEMATICAL MODELS; NAVIERSTOKES EQUATIONS