Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001

Abstracts

Novosibirsk participants

Numerical model of interaction between a plume and thermal convection in the upper mantle of the Earth under continental lithosphere

Rychkova E.V., Tychkov S.A., Chernykh G.G.

Institute of of Geology SB RAS,
Institute of Computational Technologies SB RAS (Novosibirsk)

The spatial-temporal evolution of thermal convection in the continental upper mantle is numerically investigated by the predictor-corrector method with majorant splitting scheme on the predictor (for the equation of temperature transport) and the iterating method of stabilizing corrections (to find the stream function from the equation of the fourth order with variable coefficients). Lithosphere is presented by rigid conductive layer, the viscosity of the upper mantle depends on the depth. The non-slip conditions are given at the bottom of the lithosphere, and convection is excited by constant heat flux from the lower boundary.

Interaction between a thermal convective flow and a plume head risen to the base of the continental lithosphere is considered. Results of this modeling are compared with peculiarities of the Cenozoic plume magmatism in Baikal and eastern Australia.

Note. Abstracts are published in author's edition

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