메뉴 건너뛰기




Volumn 9, Issue 2, 2008, Pages

The spiral grid: A new approach to discretize the sphere and its application to mantle convection

Author keywords

Convection; Mantle; Spherical geometry; Spiral grid; Voronoi cell

Indexed keywords


EID: 55649091086     PISSN: 15252027     EISSN: 15252027     Source Type: Journal    
DOI: 10.1029/2007GC001581     Document Type: Article
Times cited : (41)

References (34)
  • 1
    • 15944388561 scopus 로고    scopus 로고
    • Centroidal voronoi diagrams for isotropic surface remeshing
    • Alliez, P., E. Colin de Verdiere, O. Devillers, and M. Isenburg (2005), Centroidal Voronoi diagrams for isotropic surface remeshing, Graph. Models, 67, 204-231.
    • (2005) Graph. Models , vol.67 , pp. 204-231
    • Alliez, P.1    De Verdiere, E.C.2    Devillers, O.3    Isenburg, M.4
  • 4
    • 0022360070 scopus 로고
    • Icosahedral discretization of the two-sphere
    • Baumgardner, J. R., and P. O. Frederickson (1985), Icosahedral discretization of the two-sphere, SIAM J. Numer. Anal., 22(6), 1107-1115.
    • (1985) SIAM J. Numer. Anal. , vol.22 , Issue.6 , pp. 1107-1115
    • Baumgardner, J.R.1    Frederickson, P.O.2
  • 5
    • 0024525970 scopus 로고
    • Three-dimensional spherical models of convection in the Earth's mantle
    • Bercovici, D., G. Schubert, and G. A. Glatzmaier (1989), Three-dimensional spherical models of convection in the Earth's mantle, Science, 244, 950-955. (Pubitemid 19316128)
    • (1989) Science , vol.244 , Issue.4907 , pp. 950-955
    • Bercovici, D.1    Schubert, G.2    Glatzmaier, G.A.3
  • 6
    • 0016572352 scopus 로고
    • Patterns of convection in spherical shells: Part 2
    • Busse, F. H. (1975), Patterns of convection in spherical shells: Part 2, J. Fluid Mech., 72, 67-85.
    • (1975) J. Fluid Mech. , vol.72 , pp. 67-85
    • Busse, F.H.1
  • 7
    • 0008468861 scopus 로고
    • Algorithms for incomplete elliptic integrals
    • Carlson, B. C., and E. M. Notis (1981), Algorithms for incomplete elliptic integrals, Trans. Math. Software, 7(3), 398-403.
    • (1981) Trans. Math. Software , vol.7 , Issue.3 , pp. 398-403
    • Carlson, B.C.1    Notis, E.M.2
  • 8
    • 16844385023 scopus 로고    scopus 로고
    • Modelling thermal convection with large viscosity gradients in one block of the 'cubed sphere'
    • Choblet, G. (2005), Modelling thermal convection with large viscosity gradients in one block of the 'cubed sphere', J. Comput. Phys., 205, 269-291.
    • (2005) J. Comput. Phys. , vol.205 , pp. 269-291
    • Choblet, G.1
  • 9
    • 0033317391 scopus 로고    scopus 로고
    • Centroidal voronoi tessellations: Applications and algorithms
    • Du, G., V. Faber, and M. Gunzburger (1999), Centroidal Voronoi tessellations: Applications and algorithms, SIAM Rev., 41, 637-676.
    • (1999) SIAM Rev. , vol.41 , pp. 637-676
    • Du, G.1    Faber, V.2    Gunzburger, M.3
  • 10
    • 0037114113 scopus 로고    scopus 로고
    • Grid generation and optimization based on centroidal Voronoi tessellations
    • Du, Q., and M. Gunzburger (2002), Grid generation and optimization based on centroidal Voronoi tessellations, Appl. Math. Comput., 133, 591-607.
    • (2002) Appl. Math. Comput. , vol.133 , pp. 591-607
    • Du, Q.1    Gunzburger, M.2
  • 13
    • 84963146293 scopus 로고
    • Numerical simulations of mantle convection: Time-dependent, three-dimensional, compressible, spherical shell
    • Glatzmaier, G. A. (1988), Numerical simulations of mantle convection: Time-dependent, three-dimensional, compressible, spherical shell, Geophys. Astrophys. Fluid Dyn., 43, 223-264.
    • (1988) Geophys. Astrophys. Fluid Dyn. , vol.43 , pp. 223-264
    • Glatzmaier, G.A.1
  • 14
    • 0032566146 scopus 로고    scopus 로고
    • Phase transitions and the three-dimensional planform of thermal convection in the Martian mantle
    • Harder, H. (1998), Phase transitions and the three-dimensional planform of thermal convection in the Martian mantle, J. Geophys. Res., 103, 16,775-16,797.
    • (1998) J. Geophys. Res. , vol.103 , pp. 16775-16797
    • Harder, H.1
  • 15
    • 0030417202 scopus 로고    scopus 로고
    • Three-dimensional infinite prandtl-number convection in a spherical shell with temperature-dependent viscosity
    • Iwase, Y. (1996), Three-dimensional infinite Prandtl-number convection in a spherical shell with temperature-dependent viscosity, J. Geomagn. Geoelectr., 48, 1499-1514.
    • (1996) J. Geomagn. Geoelectr. , vol.48 , pp. 1499-1514
    • Iwase, Y.1
  • 16
    • 0036787154 scopus 로고    scopus 로고
    • Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations
    • Ju, L., and Q. Du (2002), Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations, Parallel Comput., 28, 1477-1500.
    • (2002) Parallel Comput. , vol.28 , pp. 1477-1500
    • Ju, L.1    Du, Q.2
  • 18
    • 0027387454 scopus 로고
    • Rheology of the upper mantle: A synthesis
    • Karato, S. I., and P. Wu (1993), Rheology of the upper mantle: A synthesis, Science, 260, 771-778.
    • (1993) Science , vol.260 , pp. 771-778
    • Karato, S.I.1    Wu, P.2
  • 19
    • 0020102027 scopus 로고
    • Least Square quantization in PCM
    • Lloyd, S. (1982), Least Square quantization in PCM, IEEE Trans. Inf. Theory, 28, 129-137.
    • (1982) IEEE Trans. Inf. Theory , vol.28 , pp. 129-137
    • Lloyd, S.1
  • 20
    • 0001457509 scopus 로고
    • Some methods for classification and analysis of multivariate observations
    • edited by L. Le Cam and J. Neyman, Univ. of Calif., Berkeley
    • MacQueen, J. (1967), Some methods for classification and analysis of multivariate observations, in: Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, vol.I, edited by L. Le Cam and J. Neyman, pp. 281-297, Univ. of Calif., Berkeley.
    • (1967) Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability , vol.1 , pp. 281-297
    • MacQueen, J.1
  • 22
    • 0030258720 scopus 로고    scopus 로고
    • Effects of temperature-dependent viscosity on thermal convection in a spherical shell
    • PII S0167278996001509
    • Ratcliff, J. T., G. Schubert, and A. Zebib (1996), Effects of temperature-dependent viscosity on thermal convection in a spherical shell, Physica D, 97, 242-252. (Pubitemid 126687436)
    • (1996) Physica D: Nonlinear Phenomena , vol.97 , Issue.1-3 , pp. 242-252
    • Ratcliff, J.T.1    Schubert, G.2    Zebib, A.3
  • 23
    • 0020844260 scopus 로고
    • A numerical study of the turbulent flow past an airfoil with trailing edge separation
    • Rhie, C. M., and W. L. Chow (1983), A numerical study of the turbulent flow past an airfoil with trailing edge separation, AIAA J., 21, 1525-1532.
    • (1983) AIAA J. , vol.21 , pp. 1525-1532
    • Rhie, C.M.1    Chow, W.L.2
  • 24
    • 0030096121 scopus 로고    scopus 로고
    • The ''Cubed Sphere'': A new method for the solution of partial differential equations in spherical geometry
    • Ronchi, C., R. Iacono, and P. S. Paolucci (1996), The ''Cubed Sphere'': A new method for the solution of partial differential equations in spherical geometry, J. Comput. Phys., 124, 93-114.
    • (1996) J. Comput. Phys. , vol.124 , pp. 93-114
    • Ronchi, C.1    Iacono, R.2    Paolucci, P.S.3
  • 26
    • 33746659940 scopus 로고    scopus 로고
    • A new method to simulate convection with strongly temperature- and pres sure-dependent viscosity in a spherical shell: Applications to the Earth's mantle
    • Stemmer, K., H. Harder, and U. Hansen (2006), A new method to simulate convection with strongly temperature- and pres sure-dependent viscosity in a spherical shell: Applications to the Earth's mantle, Phys. Earth Planet. Inter., 157, 223-249.
    • (2006) Phys. Earth Planet. Inter. , vol.157 , pp. 223-249
    • Stemmer, K.1    Harder, H.2    Hansen, U.3
  • 27
    • 33644504759 scopus 로고    scopus 로고
    • Fast polygon area and newell normal computation
    • Sunday, D. (2002), Fast polygon area and Newell normal computation, J. Graphics Tools, 7(2), 9-13.
    • (2002) J. Graphics Tools , vol.7 , Issue.2 , pp. 9-13
    • Sunday, D.1
  • 28
    • 0034287407 scopus 로고    scopus 로고
    • A stabilized finite element method for the Rayleigh-Benard equations with infinite Prandtl number in a spherical shell
    • Tabata, M., and A. Suzuki (2000), A stabilized finite element method for the Rayleigh-Benard equations with infinite Prandtl number in a spherical shell, Comput. Methods Appl. Mech. Eng., 190, 387-402
    • (2000) Comput. Methods Appl. Mech. Eng. , vol.190 , pp. 387-402
    • Tabata, M.1    Suzuki, A.2
  • 29
    • 0027464490 scopus 로고
    • Effects of an endothermic phase transition at 670 km depth on a spherical model of convection in Earth's mantle
    • Tackley, P. J., D. J. Stevenson, G. A. Glatzmaier, and G. Schubert (1993), Effects of an endothermic phase transition at 670 km depth on a spherical model of convection in Earth's mantle, Nature, 361, 699-704.
    • (1993) Nature , vol.361 , pp. 699-704
    • Tackley, P.J.1    Stevenson, D.J.2    Glatzmaier, G.A.3    Schubert, G.4
  • 30
    • 0000388463 scopus 로고
    • On the structure of the atom: An investigation of the stability and periods of oscillation of a number of corpuscles arranged at equal intervals around the circumference of a circle; With application of the results to the theory of atomic structure
    • Thomson, J. J. (1904), On the structure of the atom: An investigation of the stability and periods of oscillation of a number of corpuscles arranged at equal intervals around the circumference of a circle; with application of the results to the theory of atomic structure, Philos. Mag., Ser. 6, 7(39), 237-265.
    • (1904) Philos. Mag., Ser. , vol.6-7 , Issue.39 , pp. 237-265
    • Thomson, J.J.1
  • 31
    • 33846297319 scopus 로고    scopus 로고
    • Structure and dynamics of spherical crystals characterised for the Thomson problem
    • Wales, D. J., and S. Ulker (2006), Structure and dynamics of spherical crystals characterised for the Thomson problem, Phys. Rev. B, 74, 212101.
    • (2006) Phys. Rev. B , vol.74 , pp. 212101
    • Wales, D.J.1    Ulker, S.2
  • 32
    • 84995047911 scopus 로고
    • The creep strength of the Earth's mantle
    • Weertman, J. (1970), The creep strength of the Earth's mantle, Rev. Geophys., 8, 145-168.
    • (1970) Rev. Geophys. , vol.8 , pp. 145-168
    • Weertman, J.1
  • 33
    • 6044260067 scopus 로고    scopus 로고
    • Application of the Yin-Yang grid to a thermal convection of a Boussinesq fluid with infinite Prandtl number in a three-dimensional spherical shell
    • DOI 10.1029/2004GL019970
    • Yoshida, M., and A. Kageyama (2004), Application of the Yin- Yang grid to a thermal convection of a Boussinesq fluid with infinite Prandtl number in a three-dimensional spherical shell, Geophys. Res. Lett., 31, L12609, doi:10.1029/2004GL019970. (Pubitemid 39384097)
    • (2004) Geophysical Research Letters , vol.31 , Issue.12
    • Yoshida, M.1    Kageyama, A.2
  • 34
    • 0034630688 scopus 로고    scopus 로고
    • Role of temperature-dependent viscosity and surface plates in spherical shell models of mantle convection
    • Zhong, S., M. T. Zuber, L. Moresi, and M. Gurnis (2000), Role of temperature-dependent viscosity and surface plates in spherical shell models of mantle convection, J. Geophys. Res., 105, 11,063-11,082.
    • (2000) J. Geophys. Res. , vol.105 , pp. 11063-11082
    • Zhong, S.1    Zuber, M.T.2    Moresi, L.3    Gurnis, M.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.