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This study presents a comprehensive 3D numerical model of the geodynamo, exploring core evolution over 700 million years by analyzing thermodynamic parameters such as heat flow and CMB heat flux heterogeneity. Focusing on the Navier-Stokes dynamo equations and thermochemical convection, we evaluate transport parameters and the self-sustaining nature of the dynamo. The work emphasizes magnetic energy dynamics and contrasts numerical resolution with simulation realism and efficiency, revealing insights into magnetic free decay time beyond astronomical time scales.
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Geodynamo Evolution Flow Chart Box Model: Core Evolution ~ 700 Myr Thermodynamic Parameters CMB Heat Flow Q(t) T(r,0), C(r,0), rICB(0) T(r,t) C(r,t) rICB(t) 3D Model: Numerical Dynamo ~ 5 Myr intervals CMB Heat Flux Heterogeneity q(x) W(t) Transport Parameters T(x,t) C(x,t) B(x,t) GPTS Reversals
Navier-Stokes: Dynamo Equations(Boussinesqapproximation w/ thermo-chemical convection) Co-density (temperature + light elements): Induction: Transport: Continuity: Self-sustaining dynamo: finite magnetic energy w/o external sources
Numerical Dynamo Resolution vs. Simulation Time Realism * Efficiency * Magnetic free decay time, NOT astronomical time!