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MIT-2009,
International Conference "Mathematical and Informational Technologies"
(VIII Conference "Computational and Informational Technologies for Science, Engineering and Education")

Kopaonik (Serbia), August 27 - 31, 2009;
Budva (Montenegro), August 31 - September 5, 2009

Abstracts

The computational experiment of the spherically symmetric modeling of deep-seated geodynamics

Shaidurov V.V., Shchepanovskaya G.I.

Institute of Computational Modeling of Siberian Branch of Russian Academy of Sciences (Krasnoyarsk)

In present paper computing model allowing considering geodynamic process of expansion, compression, heating and cooling of the Earth is suggested. Dynamic of geosphere is investigated in the context of viscous heat-conducting coercible gas when density and viscosity of medium depend on time and coordinates. Suggested model allows considering not only crust and mantle of Earth but also internal structure including Earth core.

Thus, in this paper dynamics of the inner structure of the Earth is described by a model of a viscous compressible heat-conducting medium in the form of the Navier-Stokes equations. For the discretization of the spherically symmetric model the finite element method is used. The method is shown turned out to be highly sensitive to the state equation used. This results in decreasing or increasing the radius of the Earth, smoothing the boundaries of phase, chemical, or metamorphic transitions of the Earth's geodynamic layers. Therefore, in addition to the solution of the mathematical problems, a correct and accurate formulation of the state equation on the basis of the modern notion of the substance of the Earth and its physical and chemical properties at corresponding temperatures and pressures is of major importance.

Note. Abstracts are published in author's edition

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