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A mathematical model of convective cell motion in the mantle under exposure to a heat source at the mantle-core boundary

A.N. Bogolyubov$^1$, A.N. Grushinsky$^2$, Yu.V. Mukhartova$^1$, O.E. Belenkaya$^1$

Moscow University Physics Bulletin 2014. 69. N 6. P. 497

  • Article
Annotation

An algorithm for numerically solving the vector problem on the modeling of the convective motion of matter in the Earth’s mantle was built and implemented. A 2-D model of convective cell formation in the mantle was considered with a moving heat source at the boundary with a core that generates an upwelling flow of the mantle substance. The motion of the heat source is possible only along the core-mantle boundary. If the heat source is absent, the system is conservative. The mantle was modeled as an incompressible fluid with constant viscosity.

Received: 2014 June 30
Approved: 2015 January 21
PACS:
02.30.Jr Partial differential equations
Authors
A.N. Bogolyubov$^1$, A.N. Grushinsky$^2$, Yu.V. Mukhartova$^1$, O.E. Belenkaya$^1$
$^1$Department of Physics, Moscow State University, Moscow, 119991, Russia
$^2$Schmidt Institute of Physics of the Earth, Russian Academy of Sciences, Moscow, 123995, Russia
Issue 6, 2014

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