메뉴 건너뛰기




Volumn 187, Issue 2, 2011, Pages 690-704

The evolution of a magnetic field subject to Taylor's constraint using a projection operator

Author keywords

Dynamo: theories and simulations; Electromagnetic theory; Numerical approximations and analysis; Planetary interiors

Indexed keywords

3D ARRAYS; DECAY TIME; DYNAMO: THEORIES AND SIMULATIONS; ELECTROMAGNETIC THEORIES; FINITE SET; GALERKIN; GEODYNAMO MODELS; GEOSTROPHIC FLOW; MAGNETOHYDRODYNAMIC EQUATIONS; NUMERICAL APPROXIMATIONS; NUMERICAL PROBLEMS; ORDERS OF MAGNITUDE; PLANETARY INTERIORS; PROJECTION METHOD; PROJECTION OPERATOR; RATE OF CHANGE; SOLID ANGLE; SPECTRAL COEFFICIENTS; SPHERICAL GEOMETRIES; TANGENT HYPERPLANE; TANGENT PLANE; TAYLOR STATE; TAYLOR'S CONSTRAINT; TIME-DEPENDENT;

EID: 80054688550     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2011.05187.x     Document Type: Article
Times cited : (11)

References (32)
  • 1
    • 34249680550 scopus 로고
    • Stabilization of constraints and integrals of motion in dynamical systems
    • Baumgarte, J., 1972. Stabilization of constraints and integrals of motion in dynamical systems, Comp. Meth. Appl. Mech. Eng., 1, 1-16.
    • (1972) Comp. Meth. Appl. Mech. Eng. , vol.1 , pp. 1-16
    • Baumgarte, J.1
  • 3
    • 0001635485 scopus 로고
    • Homogeneous dynamos and terrestrial magnetism
    • Bullard, E.C. & Gellman, H., 1954. Homogeneous dynamos and terrestrial magnetism, Phil. Trans. R. Soc. Lond. A, 247, 213-278.
    • (1954) Phil. Trans. R. Soc. Lond. A , vol.247 , pp. 213-278
    • Bullard, E.C.1    Gellman, H.2
  • 4
    • 0001672771 scopus 로고
    • Molecular dynamics of rigid systems in Cartesian coordinates: a general formulation
    • Ciccotti, G., Ferrario, M. & Ryckaert, J.-P., 1982. Molecular dynamics of rigid systems in Cartesian coordinates: a general formulation, Mol. Phys., 47(6), 1253-1264.
    • (1982) Mol. Phys. , vol.47 , Issue.6 , pp. 1253-1264
    • Ciccotti, G.1    Ferrario, M.2    Ryckaert, J.-P.3
  • 5
    • 0031832813 scopus 로고    scopus 로고
    • Hydromagnetic flow in planetary cores
    • Fearn, D., 1998. Hydromagnetic flow in planetary cores, Rep. Prog. Phys., 61, 175-235.
    • (1998) Rep. Prog. Phys. , vol.61 , pp. 175-235
    • Fearn, D.1
  • 6
    • 84963146339 scopus 로고
    • On the computation of steady, self-consistent spherical dynamos
    • Fearn, D. & Proctor, M.R.E., 1987. On the computation of steady, self-consistent spherical dynamos, Geophys. Astrophys. Fluid Dyn., 38, 293-325.
    • (1987) Geophys. Astrophys. Fluid Dyn. , vol.38 , pp. 293-325
    • Fearn, D.1    Proctor, M.R.E.2
  • 7
    • 0006242809 scopus 로고    scopus 로고
    • Constrained dynamics computations: models and case studies, in Robotics and Intelligent Systems, World Scientific, Singapore.
    • Fox, B., Jennings, L.S. & Zomaya, A.Y., 2000. Constrained dynamics computations: models and case studies, in Robotics and Intelligent Systems, Vol. 16, World Scientific, Singapore.
    • (2000) , vol.16
    • Fox, B.1    Jennings, L.S.2    Zomaya, A.Y.3
  • 9
    • 77952023179 scopus 로고    scopus 로고
    • Fast torsional waves and strong magnetic field within the Earth's core
    • Gillet, N., Jault, D., Canet, E. & Fournier, A., 2010. Fast torsional waves and strong magnetic field within the Earth's core, Nature, 465(74), 74-77.
    • (2010) Nature , vol.465 , Issue.74 , pp. 74-77
    • Gillet, N.1    Jault, D.2    Canet, E.3    Fournier, A.4
  • 10
    • 0029480581 scopus 로고
    • A three-dimensional convective dynamo with rotating and finitely conducting inner core and mantle
    • Glatzmaier, G.A. & Roberts, P.H., 1995. A three-dimensional convective dynamo with rotating and finitely conducting inner core and mantle, Phys. Earth planet. Inter., 91, 63-75.
    • (1995) Phys. Earth planet. Inter. , vol.91 , pp. 63-75
    • Glatzmaier, G.A.1    Roberts, P.H.2
  • 11
    • 0034655860 scopus 로고    scopus 로고
    • A spectral solution of the magneto-convection equations in spherical geometry
    • Hollerbach, R., 2000. A spectral solution of the magneto-convection equations in spherical geometry, Int. J. Numer. Math. Fluids, 32, 773-797.
    • (2000) Int. J. Numer. Math. Fluids , vol.32 , pp. 773-797
    • Hollerbach, R.1
  • 13
    • 0040182463 scopus 로고
    • Non-axisymmetric shear layers in a rotating spherical shell
    • eds Proctor, Cambridge University Press, Cambridge.
    • Hollerbach, R. & Proctor, M.R.E., 1993. Non-axisymmetric shear layers in a rotating spherical shell, in Solar and Planetary Dynamos, pp. 145-152, eds Proctor et al., Cambridge University Press, Cambridge.
    • (1993) Solar and Planetary Dynamos , pp. 145-152
    • Hollerbach, R.1    Proctor, M.R.E.2
  • 14
    • 33846179324 scopus 로고    scopus 로고
    • Effective constrained dynamic simulation using implicit constraint enforcement, in Proceedings of the 2005 IEEE International Conference on Robotics and Automation, Barcelona -
    • Hong, M., Choi, M.-H., Jung, S., Welch, S. & Trapp, J., 2005. Effective constrained dynamic simulation using implicit constraint enforcement, in Proceedings of the 2005 IEEE International Conference on Robotics and Automation, Barcelona, pp. 4520-4525.
    • (2005) , pp. 4520-4525
    • Hong, M.1    Choi, M.-H.2    Jung, S.3    Welch, S.4    Trapp, J.5
  • 15
    • 0023812188 scopus 로고
    • Westward drift, core motions and exchanges of angular momentum between core and mantle
    • Jault, D., Gire, C. & Le Mouel, J.L., 1988. Westward drift, core motions and exchanges of angular momentum between core and mantle, Nature, 333(26), 353-356.
    • (1988) Nature , vol.333 , Issue.26 , pp. 353-356
    • Jault, D.1    Gire, C.2    Le Mouel, J.L.3
  • 16
    • 0012573907 scopus 로고    scopus 로고
    • Recent geodynamo simulations and observations of the geomagnetic field
    • 1013
    • Kono, M. & Roberts, P.H., 2002. Recent geodynamo simulations and observations of the geomagnetic field, Rev. Geophys., 40(4), 1013, 1-53, doi:.
    • (2002) Rev. Geophys. , vol.40 , Issue.4 , pp. 1-53
    • Kono, M.1    Roberts, P.H.2
  • 17
    • 77956898293 scopus 로고    scopus 로고
    • An optimal Galerkin scheme to solve the kinematic dynamo eigenvalue problem in a full sphere
    • Li, K., Livermore, P. & Jackson, A., 2010. An optimal Galerkin scheme to solve the kinematic dynamo eigenvalue problem in a full sphere, J. Comp. Phys., 229(23), 8666-8683.
    • (2010) J. Comp. Phys. , vol.229 , Issue.23 , pp. 8666-8683
    • Li, K.1    Livermore, P.2    Jackson, A.3
  • 18
    • 46749108144 scopus 로고    scopus 로고
    • First-order perturbation of singular vectors in singular value decomposition
    • Liu, J., Liu, X. & Ma, X., 2008. First-order perturbation of singular vectors in singular value decomposition, IEEE Trans. Signal Process., 56(7), 3044-3049.
    • (2008) IEEE Trans. Signal Process. , vol.56 , Issue.7 , pp. 3044-3049
    • Liu, J.1    Liu, X.2    Ma, X.3
  • 19
    • 73649120572 scopus 로고    scopus 로고
    • Galerkin orthogonal polynomials
    • Livermore, P., 2010. Galerkin orthogonal polynomials, J. Comp. Phys., 229(6), 2046-2060.
    • (2010) J. Comp. Phys. , vol.229 , Issue.6 , pp. 2046-2060
    • Livermore, P.1
  • 20
    • 54849405932 scopus 로고    scopus 로고
    • The structure of Taylor's constraint in three dimensions
    • Livermore, P., Ierley, G. & Jackson, A., 2008. The structure of Taylor's constraint in three dimensions, Proc. R. Soc. A, 464, 3149-3174.
    • (2008) Proc. R. Soc. A , vol.464 , pp. 3149-3174
    • Livermore, P.1    Ierley, G.2    Jackson, A.3
  • 21
    • 64849086166 scopus 로고    scopus 로고
    • The construction of exact Taylor states I: the full sphere
    • Livermore, P., Ierley, G. & Jackson, A., 2009. The construction of exact Taylor states I: the full sphere, Geophys. J. Int., 177(2), 367-382.
    • (2009) Geophys. J. Int. , vol.177 , Issue.2 , pp. 367-382
    • Livermore, P.1    Ierley, G.2    Jackson, A.3
  • 22
    • 72049113844 scopus 로고    scopus 로고
    • The construction of exact Taylor states II: The influence of an inner core.
    • Livermore, P., Ierley, G. & Jackson, A., 2010. The construction of exact Taylor states II: The influence of an inner core., Phys. Earth planet. Inter., 178, 16-26.
    • (2010) Phys. Earth planet. Inter. , vol.178 , pp. 16-26
    • Livermore, P.1    Ierley, G.2    Jackson, A.3
  • 23
    • 0032476963 scopus 로고    scopus 로고
    • Multisymplectic geometry, variational integrators, and nonlinear PDEs
    • Marsden, J.E., Patrick, G.W. & Shkoller, S., 1998. Multisymplectic geometry, variational integrators, and nonlinear PDEs, Comm. Math, Phys., 199, 351-395.
    • (1998) Comm. Math, Phys. , vol.199 , pp. 351-395
    • Marsden, J.E.1    Patrick, G.W.2    Shkoller, S.3
  • 24
    • 0014441553 scopus 로고
    • The degree of knottedness of tangled vortex lines
    • Moffatt, H.K., 1969. The degree of knottedness of tangled vortex lines, J. Fluid Mech., 35, 117-129.
    • (1969) J. Fluid Mech. , vol.35 , pp. 117-129
    • Moffatt, H.K.1
  • 25
    • 0028831666 scopus 로고
    • Ertel's potential vorticity theorem in physical oceanography
    • Müller, P., 1995. Ertel's potential vorticity theorem in physical oceanography, Rev. Geophys., 33(1), 67-95.
    • (1995) Rev. Geophys. , vol.33 , Issue.1 , pp. 67-95
    • Müller, P.1
  • 27
    • 41349087699 scopus 로고    scopus 로고
    • Rotating convection-driven dynamos at low Ekman number
    • 056308
    • Rotvig, J. & Jones, C.A., 2002. Rotating convection-driven dynamos at low Ekman number, Phys. Rev. E, 66, 056308:1-15.
    • (2002) Phys. Rev. E , vol.66 , pp. 1-15
    • Rotvig, J.1    Jones, C.A.2
  • 28
    • 23444451442 scopus 로고    scopus 로고
    • A general method for conserving quantities related to potential vorticity in numerical models
    • Salmon, R., 2005. A general method for conserving quantities related to potential vorticity in numerical models, Nonlinearity, 18, R1-R16.
    • (2005) Nonlinearity , vol.18
    • Salmon, R.1
  • 29
    • 0022786742 scopus 로고
    • Conservation laws and the numerical solution of ODEs
    • Shampine, L.F., 1986. Conservation laws and the numerical solution of ODEs, Comp. & Maths. with Appls., 12B, 1287-1296.
    • (1986) Comp. & Maths. with Appls. , vol.12 B , pp. 1287-1296
    • Shampine, L.F.1
  • 30
    • 41349108459 scopus 로고    scopus 로고
    • Cartesian convection driven dynamos at low Ekman number
    • 056312
    • Stellmach, S. & Hansen, U., 2004. Cartesian convection driven dynamos at low Ekman number, Phys. Rev. E, 70, 056312, 1-16.
    • (2004) Phys. Rev. E , vol.70 , pp. 1-16
    • Stellmach, S.1    Hansen, U.2
  • 31
    • 0001638933 scopus 로고
    • The magneto-hydrodynamics of a rotating fluid and the Earth's dynamo problem
    • Taylor, J.B., 1963. The magneto-hydrodynamics of a rotating fluid and the Earth's dynamo problem, Proc. R. Soc. A, 9, 274-283.
    • (1963) Proc. R. Soc. A , vol.9 , pp. 274-283
    • Taylor, J.B.1
  • 32
    • 80054712179 scopus 로고    scopus 로고
    • Physically based modeling: principles and practice-constrained dynamics, SIGGRAPH 1997 course notes.
    • Witkin, A., 1997. Physically based modeling: principles and practice-constrained dynamics, SIGGRAPH 1997 course notes.
    • (1997)
    • Witkin, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.