Modeling mantle convection in the spherical annulus

Physics of the Earth and Planetary Interiors

Volumn 171, Issue 1-4, 2008, Pages 48-54

  Hernlund, John W ^a   Tackley, Paul J ^b  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^b ETH ZURICH   (Switzerland)

Author keywords

Annulus geometry; Mantle convection; Numerical modeling; Spherical shell

Indexed keywords

COORDINATE MEASURING MACHINES; SHELLS (STRUCTURES); THREE DIMENSIONAL;

2D SLICES; ANNULUS GEOMETRY; ANOMALOUS EFFECTS; DO-MAINS; GOVERNING EQUATIONS; JACOBIANS; MANTLE CONVECTION; MANTLE CONVECTIONS; NEW APPROACHES; NUMERICAL MODELING; POLAR CYLINDRICAL COORDINATES; RESCALING; SHORT-COMINGS; SPHERICAL POLAR COORDINATES; SPHERICAL SHELL; SPHERICAL SHELLS;

SPHERES;

BORN APPROXIMATION; COORDINATE; GEOMETRY; GEOSTATISTICS; MANTLE CONVECTION; MANTLE STRUCTURE; NUMERICAL MODEL;

EID: 55749094026     PISSN: 00319201     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.pepi.2008.07.037     Document Type: Article

References (14)

1. Bercovici D., Schubert G., Glatzmaier G.A., and Zebib A. Three dimensional thermal convection in a spherical shell. J. Fluid Mech. 206 (1989) 75-104
2. Bercovici D., Schubert G., and Glatzmaier G.A. Three dimensional convection of an infinite Prandtl number compressible fluid in a basally heated spherical shell. J. Fluid Mech. 239 (1992) 683-719
3. Glatzmaier G.A., Schubert G., and Bercovici D. Chaotic, subduction-like downflows in a spherical model of convection in the Earth's mantle. Nature 347 (1990) 274-277
4. Nakagawa T., and Tackley P.J. Effects of a perovskite-post perovskite phase change near the core-mantle boundary in compressible mantle convection. Geophys. Res. Lett. 31 (2004) L16611
5. Nakagawa T., and Tackley P.J. Thermo-chemical structure in the mantle arising from a three-component convective system and implications for geochemistry. Phys. Earth Planet. Interiors 146 (2004) 125-138
6. Ratcliff J.T., Schubert G., and Zebib A. Three-dimensional variable viscosity convection of an infinite Prandtl number Boussinesq fluid in a spherical shell. Geophys. Res. Lett. 22 (1995) 2227-2230
7. Schubert G., and Zebib A. Thermal convection of an internally heated infinite Prandtl number fluid in a spherical shell. Geophys. Astrophys. Fluid Dynam. 15 (1980) 65-90
8. Schubert G., Turcotte D.L., and Olson P. Mantle Convection in the Earth and Planets. first ed. (2001), Cambridge University Press
9. Sokolnikoff I.S. Tensor Analysis: Theory and Applications (1951), John Wiley and Sons
10. Tackley P.J. Effects of strongly variable viscosity on three-dimensional compressible convection in planetary mantles. J. Geophys. Res. B 101 (1996) 3311-3332
11. Tackley, P.J., 2008. Modelling compressible mantle convection with large viscosity contrasts in a three-dimensional spherical shell using the yin-yang grid. Phys. Earth Planet. Interiors 171, 7-18.
12. van Keken P.E. Cylindrical scaling for dynamical cooling models of the earth. Phys. Earth Planet. Interiors 124 (2001) 119-130
13. Zebib A., Schubert G., and Straus J.M. Infinite Prandtl number thermal convection in a spherical shell. J. Fluid Mech. 97 (1980) 257-277
14. Zebib A., Schubert G., Dein J.L., and Paliwal R.C. Character and stability of axisymmetric thermal convection in spheres and spherical shells. Geophys. Astrophys. Fluid Dynam. 23 (1983) 1-42