Rotating convection-driven dynamos at low Ekman number.

摘要: We present a fully 3D self-consistent convection-driven dynamo model with reference to the geodynamo. A relatively low Ekman number regime is reached, aim of investigating dynamical behavior at viscosity. This computationally very demanding, which has prompted us adopt plane layer an inclined rotation vector, and make use efficiently parallelized code. No hyperdiffusion used, all diffusive operators are in classical form. Our infinite Prandtl number, Rayleigh that scales as ${E}^{\ensuremath{-}1/3}$ $(E$ being number), constant Roberts number. The optimized allows study dynamos numbers range $[{10}^{\ensuremath{-}5}{,10}^{\ensuremath{-}4}].$ In this we find strong-field where induced magnetic fields satisfy Taylor's constraint good accuracy. solutions characterized by (i) MAC balance within bulk, i.e., Coriolis, pressure, Lorentz, buoyancy forces comparable magnitude, while viscous only significant thin boundary layers, (ii) Elsasser $O(10),$ (iii) strong cannot prevent small-scale structures from becoming dominant over large-scale components, (iv) Taylor-Proudman effect detectable, (v) Taylorization decreases lowered, (vi) ageostrophic velocity component makes up $80%$ flow.