Time-dependent solutions of mean-field equations with applications for mantle convection

Details Time-dependent solutions of mean-field equations with applications for mantle convection Time-dependent solutions of mean-field equations with applications for mantle convection

Dec 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984pepi...36..337q&link_type=abstract

(International Association of Seismology and Physics of the Earth's Interior, Symposium on Quantitative Geodynamics Lithospheric

Physics

13

Convective Heat Transfer, Earth Mantle, Time Dependence, Aspect Ratio, Boussinesq Approximation, Differential Equations, Finite Difference Theory, Kinetic Energy, Nusselt Number, Rayleigh Number, Steady State, Temperature Profiles, Thermodynamic Equilibrium

Scientific paper

The set of time-dependent, single-mode, mean field equations appropriate for mantle convection are solved by the newly developed differential/algebraic method, and the results are presented. This method can quite rapidly integrate the set of equations by a variable-order and variable-step technique. The method is used to study convection driven from basal heating and internal heating, both for steady and time-dependent heat sources. Both stress-free and rigid boundaries are considered. The Nusselt versus Rayleigh number relationship is evaluated from these calculations and compared with both experimental data and numerical results based on the full set of two-dimensional equations. Heat-transfer characteristics are displayed for the various configurations of heating. The effects of time-dependent heating and the lingering influences of initial conditions on thermal evolution over time-scales in excess of several hundred million years are explored.

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