Case study: visualization and analysis of high Rayleigh number --- 3D convection in the Earth's mantle
Pages 493 - 496
Abstract
Data sets from large-scale simulations (up to 5013 grid points) of mantle convection are analyzed with volume rendering of the temperature field and a new critical point analysis of the velocity field. As the Rayleigh number Ra is increased the thermal field develops increasingly thin plume-like structures along which heat is convected. These eventually break down and become turbulent. Visualization methods are used to distinguish between various models of heat conductivity and to develop an intuitive understanding of the structure of the flow.
References
[1]
F. Dubuffet, D.A. Yuen, and M. Rabinowicz, "Effect of a realistic mantle thermal conductivity on the pattern of 3-d convection," Earth Planet. Sci. Lett., vol. 171, pp. 401-409, 1999.
[2]
D. Bercovici, G. Schubert, and G.A. Glatzmaier, "Three-dimensional spherical models of convection in the earth's mantle," Science, vol. 244, pp. 950-955, 1989.
[3]
F. Dubuffet, D. A. Yuen, M. S. Murphy, E. O. Sevre, and L. Vecsey, "Secondary instabilities developed in upwellings at high rayleigh number convection," in EOS, TRANS, AGU, 2001, vol. 82(47), p. F1210.
[4]
F. Dubuffet and D. A. Yuen, "A thick pipe-like heat-transfer mechanism in the mantle: nonlinear coupling between 3-d convection and variable thermal conductivity," Geophys. Res. Lett., vol. 27, no. 1, pp. 17-20, 2000.
[5]
A.V. Malevsky and D.A. Yuen, "Plume structures in the hard turbulent regime of three-dimensional infinite prandtl number convection," Geophys. Res. Lett., vol. 20, pp. 383-386, 1993.
[6]
K.E. Jordan, D.A. Yuen, D.M. Reuteler, S. Zhang, and R. Haimes, "Parallel interactive visualization of 3d mantle convection," IEEE Computational Science and Engineering, vol. 3, no. 4, pp. 29-37, 1996.
[7]
R. Boehler, "Melting temperature of the Earth's mantle and core: Earth's thermal structure," Annu. Rev. Earth Planet. Sci., vol. 24, pp. 15-40, 1996.
[8]
S. Balanchandar, D. A. Yuen, and D. Reuteler, "Time-dependent three-dimensional compressible convection with depth-dependent properties," Geophys. Res. Lett., vol. 19, pp. 2247-2250, 1992.
[9]
A. M. Hofmeister, "Mantle values of thermal conductivity and the geotherm from phonon lifetimes," Science, vol. 283, pp. 1699-1706, 1999.
[10]
F. Dubuffet, D. A. Yuen, and S. G. Rainey, "Controlling thermal chaos in the mantle by positive feedback from radiative thermal conductivity," Nonlinear Processes in Geophysics, in Press, 2002.
[11]
Template Graphics Software, "Home page," http://www.tgs.com.
[12]
A. P. Vincent and M. Meneguzzi, "The dynamics of vorticity tubes in homogeneous turbulence," J. Fluid Mechanics, vol. 258, pp. 245-254, 1994.
[13]
S. Lefschetz, Differential Equations: Geometric theory, Dover, 1977.
[14]
J. Helman and L. Hesselink, "Surface representations of two-and three- dimensional fluid flow topology," in Proceedings of IEEE Visualization, 1990, pp. 36-46.
[15]
A.E. Perry and M.S. Chong, "A description of eddying motions and flow patterns using critical-point concepts," Ann. Rev. Fluid Mech., vol. 19, pp. 125-155, 1987.
[16]
Earthscope, "Home page," http://www.earthscope.org.
Index Terms
- Case study: visualization and analysis of high Rayleigh number --- 3D convection in the Earth's mantle
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Published In
October 2002
583 pages
ISBN:0780374983
- Conference Chairs:
- Hanspeter Pfister,
- Mike Bailey,
- Program Chairs:
- J. Edward Swan,
- Jim Thomas
Sponsors
- SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques
- ITCVG: IEEE Computer Society Technical Committee on Visualization and Graphics
Publisher
IEEE Computer Society
United States
Publication History
Published: 27 October 2002
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