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Volumn 157, Issue 1-2, 2006, Pages 124-138

Modelling the core convection using finite element and finite difference methods

Author keywords

Element by element Parallelization; Finite difference method; Finite element method; Numerical modelling; Thermal convection

Indexed keywords

EARTH (PLANET); FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; HEAT CONVECTION; NUMERICAL METHODS; OPTIMIZATION;

EID: 33745812370     PISSN: 00319201     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.pepi.2006.03.014     Document Type: Article
Times cited : (27)

References (34)
  • 1
    • 33745822219 scopus 로고    scopus 로고
    • Behr, M. 1992. Stabilized Finite Element Methods for Incompressible Flows with Emphasis on Moving Boundaries and Interfaces. PhD Thesis. Department of Aerospace Engineering and Mechanics, University of Minnesota.
  • 2
    • 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
    • 0035679783 scopus 로고    scopus 로고
    • A nonlinear vacillating dynamo induced by an electrically heterogeneous mantle
    • Chan K.H., Zhang K., Zou J., and Schubert G. A nonlinear vacillating dynamo induced by an electrically heterogeneous mantle. Geophys. Res. Lett. 28 23 (2001) 4411-4414
    • (2001) Geophys. Res. Lett. , vol.28 , Issue.23 , pp. 4411-4414
    • Chan, K.H.1    Zhang, K.2    Zou, J.3    Schubert, G.4
  • 9
    • 0032663336 scopus 로고    scopus 로고
    • Computational aspects of a code to study rotating turbulent convection in spherical shells
    • Clune T.C., Elliot J.R., Miesch M.S., Toomre J., and Glatzmaier G.A. Computational aspects of a code to study rotating turbulent convection in spherical shells. Parallel Comput. 25 (1999) 361-380
    • (1999) Parallel Comput. , vol.25 , pp. 361-380
    • Clune, T.C.1    Elliot, J.R.2    Miesch, M.S.3    Toomre, J.4    Glatzmaier, G.A.5
  • 10
    • 28144434048 scopus 로고
    • Approximate factorization as a high order splitting for the implicit incompressible flow equations
    • Dukowicz J.K., and Dvinsky A.S. Approximate factorization as a high order splitting for the implicit incompressible flow equations. J. Comput. Phys. 102 (1992) 336-347
    • (1992) J. Comput. Phys. , vol.102 , pp. 336-347
    • Dukowicz, J.K.1    Dvinsky, A.S.2
  • 12
    • 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
    • 33749190078 scopus 로고
    • Numerical calculatin of time-dependent viscous incompressible flow of fluid with free surface
    • Harlow F.H., and Welch J.E. Numerical calculatin of time-dependent viscous incompressible flow of fluid with free surface. Phys. Fluids 8 (1965) 2182-2189
    • (1965) Phys. Fluids , vol.8 , pp. 2182-2189
    • Harlow, F.H.1    Welch, J.E.2
  • 14
    • 0038008614 scopus 로고    scopus 로고
    • Control volume method for the dynamo problem in the sphere with the free rotating inner core
    • Heyda P., and Reshetnyak M. Control volume method for the dynamo problem in the sphere with the free rotating inner core. Stud. Geophys. Geod. 47 (2003) 147-159
    • (2003) Stud. Geophys. Geod. , vol.47 , pp. 147-159
    • Heyda, P.1    Reshetnyak, M.2
  • 15
    • 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
  • 16
    • 0001278740 scopus 로고    scopus 로고
    • Generation mechanism of a dipole field by a magnetohydrodynamic dynamo
    • Kageyama A., and Sato T. Generation mechanism of a dipole field by a magnetohydrodynamic dynamo. Phys. Rev. E 55 (1997) 4617-4626
    • (1997) Phys. Rev. E , vol.55 , pp. 4617-4626
    • Kageyama, A.1    Sato, T.2
  • 17
    • 80053458953 scopus 로고    scopus 로고
    • Yin-Yang grid and geodynamo simulation
    • Bathe K.J. (Ed), Elsevier Ltd.
    • Kageyama A. Yin-Yang grid and geodynamo simulation. In: Bathe K.J. (Ed). Computational Fluid and Solid Mechanics (2005), Elsevier Ltd.
    • (2005) Computational Fluid and Solid Mechanics
    • Kageyama, A.1
  • 18
    • 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
  • 19
    • 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. Comp. Phys. 97 (1991) 414-443
    • (1991) J. Comp. Phys. , vol.97 , pp. 414-443
    • Karniadakis, G.E.1    Israeli, M.2    Orszag, S.A.3
  • 20
    • 33745853962 scopus 로고    scopus 로고
    • Kress W., Per Lötstedt. 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.
  • 21
    • 33745864963 scopus 로고    scopus 로고
    • Margetts L. 2002. Parallel Finite Element Analysis. PhD Thesis. University of Manchester, UK.
  • 22
    • 33745862851 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/.
  • 23
    • 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. Concurrency Computation: Practice Exp. 14 6-7 (2002) 465-481
    • (2002) Concurrency Computation: Practice Exp. , vol.14 , Issue.6-7 , pp. 465-481
    • Matsui, H.1    Okuda, H.2
  • 24
    • 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
  • 25
    • 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. Computational Fluid Dyn. 18 4 (2004) 323-332
    • (2004) Int. J. Computational Fluid Dyn. , vol.18 , Issue.4 , pp. 323-332
    • Matsui, H.1    Okuda, H.2
  • 26
    • 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. Computational Fluid Dyn. 19 1 (2005) 15-22
    • (2005) Int. J. Computational Fluid Dyn. , vol.19 , Issue.1 , pp. 15-22
    • Matsui, H.1    Okuda, H.2
  • 27
    • 0001845470 scopus 로고
    • BiCGstab(ell) for linear equations involving unsymmetric matrices with complex spectrum
    • Sleijpen G.L.G., and Fokkema D.R. BiCGstab(ell) for linear equations involving unsymmetric matrices with complex spectrum. ETNA 1 (1993) 11-32
    • (1993) ETNA , vol.1 , pp. 11-32
    • Sleijpen, G.L.G.1    Fokkema, D.R.2
  • 29
    • 0031127796 scopus 로고    scopus 로고
    • High-order-accurate schemes for incompressible viscous flow
    • Strikwerda J.C. High-order-accurate schemes for incompressible viscous flow. Int. J. Numer. Meth. Fluids. 24 (1997) 715-734
    • (1997) Int. J. Numer. Meth. Fluids. , vol.24 , pp. 715-734
    • Strikwerda, J.C.1
  • 30
    • 33745816155 scopus 로고    scopus 로고
    • Tuminaro, R.S., Heroux, M., Hutchinson, S.A., Shadid, J.N., 1999. Official AZTEC User's Guide: Version 2.1.
  • 31
    • 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
  • 32
    • 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
  • 33
    • 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.