메뉴 건너뛰기




Volumn 163, Issue 1-4, 2007, Pages 251-265

A new generation of convection-driven spherical dynamos using EBE finite element method

Author keywords

Convection; Finite element method; Planetary dynamo

Indexed keywords

FINITE ELEMENT METHOD; HEAT CONVECTION; MAGNETOHYDRODYNAMICS; MATHEMATICAL MODELS; SPECTRUM ANALYSIS;

EID: 34547873886     PISSN: 00319201     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.pepi.2007.04.017     Document Type: Article
Times cited : (39)

References (38)
  • 1
    • 0000171411 scopus 로고
    • On a finite element method for solving the three-dimensional Maxwell equations
    • Assous F., Degond P., Heintzé E., Raviart P.A., and Segré J. On a finite element method for solving the three-dimensional Maxwell equations. J. Comput. Phys. 109 (1993) 222-237
    • (1993) J. Comput. Phys. , vol.109 , pp. 222-237
    • Assous, F.1    Degond, P.2    Heintzé, E.3    Raviart, P.A.4    Segré, J.5
  • 2
    • 34547895519 scopus 로고    scopus 로고
    • Behr, M., 1992. Stabilized finite element methods for incompressible flows with emphasis on moving boundaries and interfaces. Ph.D. Thesis. Department of Aerospace Engineering and Mechanics, University of Minnesota.
  • 3
    • 0027395681 scopus 로고
    • Computation of incompressible flows with implicit finite element implementations on the Connection Machine
    • Behr M., Johnson A., Kennedy J., Mittal S., and Tezduyar T.E. Computation of incompressible flows with implicit finite element implementations on the Connection Machine. Comput. Meth. Appl. Mech. Eng. 108 (1993) 99-118
    • (1993) Comput. Meth. Appl. Mech. Eng. , vol.108 , pp. 99-118
    • Behr, M.1    Johnson, A.2    Kennedy, J.3    Mittal, S.4    Tezduyar, T.E.5
  • 6
    • 33751550813 scopus 로고    scopus 로고
    • Spherical interface dynamos: mathematical theory, finite element approximation, and application
    • Chan K.H., Zhang K., and Zou J. Spherical interface dynamos: mathematical theory, finite element approximation, and application. SIAM J. Numer. Anal. 44 5 (2006) 1877-1902
    • (2006) SIAM J. Numer. Anal. , vol.44 , Issue.5 , pp. 1877-1902
    • Chan, K.H.1    Zhang, K.2    Zou, J.3
  • 8
    • 0030715585 scopus 로고    scopus 로고
    • A three-dimensional spherical mesh generator
    • Everett M.E. A three-dimensional spherical mesh generator. Geophys. J. Int. 130 (1997) 193-200
    • (1997) Geophys. J. Int. , vol.130 , pp. 193-200
    • Everett, M.E.1
  • 9
    • 0029480581 scopus 로고
    • A three-dimensional convective dynamo solution with rotating and finitely conducting inner core and mantle
    • Glatzmaier G.A., and Roberts P.H. A three-dimensional convective dynamo solution with rotating and finitely conducting inner core and mantle. Phys. Earth Planet. Interiors 91 (1995) 63-75
    • (1995) Phys. Earth Planet. Interiors , vol.91 , pp. 63-75
    • Glatzmaier, G.A.1    Roberts, P.H.2
  • 11
    • 18944400743 scopus 로고    scopus 로고
    • A finite-volume solution method for thermal convection and dynamo problems in spherical shells
    • Harder H., and Hansen U. A finite-volume solution method for thermal convection and dynamo problems in spherical shells. Geophys. J. Int. 161 2 (2005) 522-532
    • (2005) Geophys. J. Int. , vol.161 , Issue.2 , pp. 522-532
    • Harder, H.1    Hansen, U.2
  • 13
    • 0039042668 scopus 로고
    • Navier-Stokes equations using mixed interpolation
    • Oden J.T., Zienkiewicz O.C., Gallagher R.H., and Taylor C. (Eds), UAH Press, Huntsville
    • Hood P., and Taylor C. Navier-Stokes equations using mixed interpolation. In: Oden J.T., Zienkiewicz O.C., Gallagher R.H., and Taylor C. (Eds). Finite Element Methods in Flow Problems (1974), UAH Press, Huntsville 57-66
    • (1974) Finite Element Methods in Flow Problems , pp. 57-66
    • Hood, P.1    Taylor, C.2
  • 14
    • 0030115580 scopus 로고    scopus 로고
    • The origin of spurious solutions in computational electromagnetics
    • Jiang B.N., Wu J., and Povinelli L.A. The origin of spurious solutions in computational electromagnetics. J. Comput. Phys. 125 (1996) 104-123
    • (1996) J. Comput. Phys. , vol.125 , pp. 104-123
    • Jiang, B.N.1    Wu, J.2    Povinelli, L.A.3
  • 15
    • 0033601889 scopus 로고    scopus 로고
    • Some characteristics of magnetic field behavior in a model of MHD dynamo thermally driven in a rotating spherical shell
    • Katayama J.S., Matsushima M., and Honkura Y. Some characteristics of magnetic field behavior in a model of MHD dynamo thermally driven in a rotating spherical shell. Phys. Earth Planet. Interiors 111 (1999) 141-159
    • (1999) Phys. Earth Planet. Interiors , vol.111 , pp. 141-159
    • Katayama, J.S.1    Matsushima, M.2    Honkura, Y.3
  • 17
    • 24344448622 scopus 로고    scopus 로고
    • Geodynamo and mantle convection simulations on the Earth Simulator using the Yin-Yang grid
    • Kageyama A., and Yoshida M. Geodynamo and mantle convection simulations on the Earth Simulator using the Yin-Yang grid. J. Phys.: Conf. Ser. 16 (2005) 325-338
    • (2005) J. Phys.: Conf. Ser. , vol.16 , pp. 325-338
    • Kageyama, A.1    Yoshida, M.2
  • 18
    • 28144457683 scopus 로고
    • High-order splitting methods for the incompressible Navier-Stokes equations
    • Karniadakis G.E., Israeli M., and Orszag S.A. High-order splitting methods for the incompressible Navier-Stokes equations. J. Comput. Phys. 97 (1991) 414-443
    • (1991) J. Comput. Phys. , vol.97 , pp. 414-443
    • Karniadakis, G.E.1    Israeli, M.2    Orszag, S.A.3
  • 19
    • 34547905439 scopus 로고    scopus 로고
    • Kress, W., Lötstedt, P., 2004. Time Step Restrictions using Semi-implicit Methods for the Incompressible Navier-Stokes Equations. IT Scientific Report 2004-030, Department of Information Technology, Uppsala University.
  • 20
    • 0030830037 scopus 로고    scopus 로고
    • An Earth-like numerical dynamo model
    • Kuang W., and Bloxham J. An Earth-like numerical dynamo model. Nature 389 (1997) 371-374
    • (1997) Nature , vol.389 , pp. 371-374
    • Kuang, W.1    Bloxham, J.2
  • 21
    • 0030366994 scopus 로고    scopus 로고
    • Quality local refinement of tetrahedral meshes based on 8-subtetrahedron subdivision
    • Liu A., and Joe B. Quality local refinement of tetrahedral meshes based on 8-subtetrahedron subdivision. Math. Comput. 65 215 (1996) 1183-1200
    • (1996) Math. Comput. , vol.65 , Issue.215 , pp. 1183-1200
    • Liu, A.1    Joe, B.2
  • 22
    • 34547896311 scopus 로고    scopus 로고
    • Margetts, L., 2002. Parallel finite element analysis. Ph.D. Thesis. University of Manchester, UK.
  • 23
    • 34547885073 scopus 로고    scopus 로고
    • Margetts, L., Pettipher, M., Smith I.M., 2003. ParaFEM: A Simple Message Passing Library For General Parallel Finite Element Programs, Version 1.0. http://www.parafem.org.uk/.
  • 24
    • 0036564345 scopus 로고    scopus 로고
    • Thermal convection analysis in a rotating shell by a parallel finite-element method-development of a thermal-hydraulic subsystem of GeoFEM
    • Matsui H., and Okuda H. Thermal convection analysis in a rotating shell by a parallel finite-element method-development of a thermal-hydraulic subsystem of GeoFEM. Concurr. Comput.: Pract. Exp. 14 6-7 (2002) 465-481
    • (2002) Concurr. Comput.: Pract. Exp. , vol.14 , Issue.6-7 , pp. 465-481
    • Matsui, H.1    Okuda, H.2
  • 25
    • 6444237905 scopus 로고    scopus 로고
    • MHD dynamo simulation using the GeoFEM platform: comparison with a spectral method
    • Matsui H., and Okuda H. MHD dynamo simulation using the GeoFEM platform: comparison with a spectral method. Pure Appl. Geophys. 161 11-12 (2004) 2199-2212
    • (2004) Pure Appl. Geophys. , vol.161 , Issue.11-12 , pp. 2199-2212
    • Matsui, H.1    Okuda, H.2
  • 26
    • 2942543476 scopus 로고    scopus 로고
    • Development of a simulation code for MHD dynamo processes using the GeoFEM platform
    • Matsui H., and Okuda H. Development of a simulation code for MHD dynamo processes using the GeoFEM platform. Int. J. Comput. Fluid Dyn. 18 4 (2004) 323-332
    • (2004) Int. J. Comput. Fluid Dyn. , vol.18 , Issue.4 , pp. 323-332
    • Matsui, H.1    Okuda, H.2
  • 27
    • 12344276488 scopus 로고    scopus 로고
    • MHD dynamo simulation using the GeoFEM platform-verification by the dynamo benchmark test
    • Matsui H., and Okuda H. MHD dynamo simulation using the GeoFEM platform-verification by the dynamo benchmark test. Int. J. Comput. Fluid Dyn. 19 1 (2005) 15-22
    • (2005) Int. J. Comput. Fluid Dyn. , vol.19 , Issue.1 , pp. 15-22
    • Matsui, H.1    Okuda, H.2
  • 28
    • 33749447546 scopus 로고    scopus 로고
    • Dipole moment scaling for convection-driven planetary dynamos
    • Olson P., and Christensen U. Dipole moment scaling for convection-driven planetary dynamos. Earth Planet. Sci. Lett. 250 (2006) 561-571
    • (2006) Earth Planet. Sci. Lett. , vol.250 , pp. 561-571
    • Olson, P.1    Christensen, U.2
  • 31
    • 0001845470 scopus 로고
    • BiCGstab(L) for linear equations involving unsymmetric matrices with complex spectrum
    • Sleijpen G.L.G., and Fokkema D.R. BiCGstab(L) for linear equations involving unsymmetric matrices with complex spectrum. Electron. Trans. Numer. Anal. 1 (1993) 11-32
    • (1993) Electron. Trans. Numer. Anal. , vol.1 , pp. 11-32
    • Sleijpen, G.L.G.1    Fokkema, D.R.2
  • 33
    • 33748707375 scopus 로고    scopus 로고
    • Numerical dynamo models of Uranus' and Neptune's magnetic fields
    • Stanley S., and Bloxham J. Numerical dynamo models of Uranus' and Neptune's magnetic fields. ICARUS 184 (2006) 556-572
    • (2006) ICARUS , vol.184 , pp. 556-572
    • Stanley, S.1    Bloxham, J.2
  • 34
    • 0000005482 scopus 로고
    • BiCGSTAB: a fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems
    • van der Vorst H.A. BiCGSTAB: a fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems. SIAM J. Sci. Comput. 13 (1992) 631-644
    • (1992) SIAM J. Sci. Comput. , vol.13 , pp. 631-644
    • van der Vorst, H.A.1
  • 36
    • 84963144974 scopus 로고
    • Convection driven magnetohydrodynamic dynamos in rotating spherical shells
    • Zhang K., and Busse F. Convection driven magnetohydrodynamic dynamos in rotating spherical shells. Geophys. Astrophys. Fluid Dyn. 49 (1989) 97-116
    • (1989) Geophys. Astrophys. Fluid Dyn. , vol.49 , pp. 97-116
    • Zhang, K.1    Busse, F.2
  • 37
    • 0034353773 scopus 로고    scopus 로고
    • Magnetohydrodynamics in rapidly rotating spherical systems
    • Zhang K., and Schubert G. Magnetohydrodynamics in rapidly rotating spherical systems. Ann. Rev. Fluid Mech. 32 (2000) 411-445
    • (2000) Ann. Rev. Fluid Mech. , vol.32 , pp. 411-445
    • Zhang, K.1    Schubert, G.2
  • 38
    • 0142198921 scopus 로고    scopus 로고
    • A three-dimensional spherical nonlinear interface dynamo
    • Zhang K., Chan K.H., Zou J., Liao X., and Schubert G. A three-dimensional spherical nonlinear interface dynamo. Astrophys. J. 596 (2003) 663-679
    • (2003) Astrophys. J. , vol.596 , pp. 663-679
    • Zhang, K.1    Chan, K.H.2    Zou, J.3    Liao, X.4    Schubert, G.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.