Journal of Statistical Physics

, Volume 39, Issue 5–6, pp 501–511

Three-dimensional treatment of convective flow in the earth's mantle

  • John R. Baumgardner

DOI: 10.1007/BF01008348

Cite this article as:
Baumgardner, J.R. J Stat Phys (1985) 39: 501. doi:10.1007/BF01008348


A three-dimensional finite-element method is used to investigate thermal convection in the earth's mantle. The equations of motion are solved implicitly by means of a fast multigrid technique. The computational mesh for the spherical problem is derived from the regular icosahedron. The calculations described use a mesh with 43,554 nodes and 81,920 elements and were run on a Cray X. The earth's mantly is modeled as a thick spherical shell with isothermal, free-slip boundaries. The infinite Prandtl number problem is formulated in terms of pressure, density, absolute temperature, and velocity and assumes an isotropic Newtonian rheology. Solutions are obtained for Rayleigh numbers up to approximately 106 for a variety of modes of heating. Cases initialized with a temperature distribution with warmer temperatures beneath spreading ridges and cooler temperatures beneath present subduction zones yield whole-mantle convection solutions with surface velocities that correlate well with currently observed plate velocities.

Key words

Mantle convection multigrid finite element three dimensional icosahedral mesh 

Copyright information

© Plenum Publishing Corporation 1985

Authors and Affiliations

  • John R. Baumgardner
    • 1
  1. 1.Theoretical Division, Group T-3University of California, Los Alamos National LaboratoryLos Alamos

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