3-D treatment of convective flow in the earth's mantle

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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 calculation described use a mesh with 43,554 nodes and 81,920 elements and were run on a Cray X. The earth's mantle 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 ... continued below

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Pages: 21

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Baumgardner, J.R. May 1, 1984.

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Description

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 calculation described use a mesh with 43,554 nodes and 81,920 elements and were run on a Cray X. The earth's mantle 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 10/sup 6/ for a variety of modes of heating. Cases initialized with a temperature distribution with warmer temperatures beneath speading ridges and cooler temperatures beneath present subduction zones yield whole-mantle convection solutions with surface velocities that correlate well with currently observed plate velocities. 8 references, 6 figures.

Physical Description

Pages: 21

Notes

NTIS, PC A02/MF A01.

Source

  • Transport and propagation in nonlinear systems, Los Alamos, NM, USA, 21 May 1984

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  • Other: DE85003734
  • Report No.: LA-UR-84-3762
  • Report No.: CONF-8405240-2
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 6237474
  • Archival Resource Key: ark:/67531/metadc1109807

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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  • May 1, 1984

Added to The UNT Digital Library

  • Feb. 22, 2018, 7:45 p.m.

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  • May 11, 2018, 11:15 a.m.

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Baumgardner, J.R. 3-D treatment of convective flow in the earth's mantle, article, May 1, 1984; New Mexico. (digital.library.unt.edu/ark:/67531/metadc1109807/: accessed January 20, 2019), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.