A Mathematical Model and a Numerical Algorithm for an Asteroid-Comet Body in the Earth's Atmosphere.
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.
Lecture Notes in Computer Science
Time-dependent Navier-Stokes equations,Viscous heat-conducting gas,Friable asteroid-comet body,semi-Lagrangian approximation,Conforming finite element method
Atmosphere,Ionization,Algorithm,Asteroid,Viscosity,Finite element method,Comet,Physics