Cylindrical scaling for dynamical cooling models of the Earth

Physics

Scientific paper

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Scientific paper

A detailed comparison is presented between axisymmetric spherical shell and cylindrical geometry for use in mantle convection modeling. If a rescaling of the mantle and core radii is adopted, such that the curvature of the cylindrical model approximates that of the spherical Earth, the heat and mass transport properties turn out to be very similar. Without the scaling, the volume of the lower mantle and the surface area of the core are overestimated, which leads to incorrect estimates of heat production and heat flow. This is particularly important for thermal evolution models. An explicit comparison with parameterized convection calculations shows that the scaling used here provides a good approach to dynamical model calculations.

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