On topography and geoid from 2-D stagnant lid convection calculations

Geochemistry, Geophysics, Geosystems

Volumn 10, Issue 3, 2009, Pages

  King, Scott D ^a  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

Geoid; Mantle convection; Stagnant lid convection

Indexed keywords

EID: 71949100019     PISSN: 15252027     EISSN: 15252027     Source Type: Journal    
DOI: 10.1029/2008GC002250     Document Type: Article

References (23)

1. Billen, M. I., and G. Hirth (2007), Rheologic controls on slab dynamics, Geochem. Geophys. Geosyst., 8, Q08012, doi:10.1029/2007GC001597.
2. Blankenbach, B. et al. (1989), A benchmark comparison for mantle convection codes, Geophys. J. Int., 98, 23-38.
3. Cahouet, C. , and J.-P. Chabard (1988), Some fast 3D finite element solvers for the generalized Stokes' problem, Int. J. Numer. Methods Fluids, 8, 869-895.
4. Chen, J. , and S. D. King (1998), The influence of temperature and depth dependent viscosity on geoid and topography profiles from models of mantle convection, Phys. Earth Planet. Inter., 106, 75-91.
5. Ho Liu, P., B. H. Hager, and A. Raefsky (1987), An improved method of Nusselt number calculation, Geophys. J. R. Astron. Soc., 88, 205-215.
6. Hughes, T. J. R. (1987), The Finite Element Method, Prentice-Hall, Englewood Cliffs, N. J.
7. Hughes, T. J. R., and A. N. Brooks (1979), A multi-dimensional upwind scheme with no crosswind diffusion, in Finite Element Methods for Convection Dominated Flows, AMD Ser., vol. 34, edited by T. J. R. Hughes, pp. 19-35, Am. Soc. of Mech. Eng., New York.
8. Hughes, T. J. R., W. K. Liu, and A. N. Brooks (1979), Finite element analysis of incompressible viscous flows by the penalty function formulation, J. Comput. Phys., 30, 1-60.
9. Hughes, T. J. R., L. P. Franca, G. M. Hulbert, Z. Johan, and F. Shakib (1988), The Galerkin/least-squares method for advective-diffusive equations, in Recent Developments in Computational Fluid Dynamics, AMD Ser., vol. 95, edited by T. E. Tezduyar, pp. 75-99, Am. Soc. of Mech. Eng., New York.
10. King, S. D. (1990), The interaction of subducting slabs and the 670 kilometer discontinuity, Ph.D. thesis, Calif. Inst. of Technol., Pasadena.
11. King, S. D., and B. H. Hager (1990), The relationship between plate velocity and trench viscosity in Newtonian and powerlaw subduction calculations, Geophys. Res. Lett., 17, 2409-2412.
12. King, S. D., and B. H. Hager (1994), Subducted slabs and the geoid: 1. Numerical experiments with temperature-dependent viscosity, J. Geophys. Res., 99, 19, 843-19, 852.
13. King, S. D., A. Raefsky, and B. H. Hager (1990), ConMan: Vectorizing a finite element code for incompressible twodimensional convection in the Earth's mantle, Phys. Earth Planet. Inter., 59, 196-208.
14. Moresi, L.-N., and V. S. Solomatov (1995), Numerical investigations of 2D convection with extremely large viscosity variations, Phys. Fluids, 7, 2154-2162.
15. Moresi, L.-N., S. Zhong, and M. Gurnis (1996), The accuracy of finite element solutions of Stokes's flow with strongly varying viscosity, Phys. Earth Planet. Inter., 97, 83-94.
16. Press, W. H., B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling (1986), Numerical Recipes: The Art of Scientific Computing, 818 pp., Cambridge Univ. Press, Cambridge, U. K.
17. Schubert, G. , D. L. Turcotte, and P. Olson (2001), Mantle Convection in the Earth and Planets, 940 pp., Cambridge Univ. Press, Cambridge, U. K.
18. Solomatov, V. S., and L.-N. Moresi (1996), Stagnant lid convection on Venus, J. Geophys. Res., 101, 4737-4753.
19. Tan, E., E. Choi, P. Thoutireddy, M. Gurnis, and M. Aivazis (2006), GeoFramework: Coupling multiple models of mantle convection within a computational framework, Geochem. Geophys. Geosyst., 7, Q06001, doi:10.1029/2005GC001155.
20. Travis, B. J., C. Anderson, J. Baumgardner, C. W. Gable, B. H. Hager, R. J. O'Connell, P. Olson, A. Raefsky, and G. Schubert (1990), A benchmark comparison of numerical methods for infinite Prandtl number convection in two-dimensional Cartesian geometry, Geophys. Astrophys. Fluid Dyn., 55, 137-160, doi:10.1080/03091929008204111.
21. van Keken, P. E., et al. (2008), A community benchmark for subduction zone modeling, Phys. Earth Planet. Inter., 171, 187-197.
22. Zhong, S. , and M. Gurnis (1994), Role of plates and temperature dependent viscosity in phase change dynamics, J. Geophys. Res., 99, 15, 903-15, 917.
23. Zhong, S. , M. T. Zuber, L.-N. Moresi, and M. Gurnis (2000), The role of temperature-dependent viscosity and surface plates in spherical shell models of mantle convection, J. Geophys. Res., 105, 11, 063-11, 082.