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Volumn 101, Issue 5-6, 2007, Pages 347-370

Convection in rotating spherical fluid shells with inhomogeneous heat flux at the outer boundary

Author keywords

Core mantle interaction; Earth's core; Inhomogeneous heat flux; Rotating convection

Indexed keywords

BOUNDARY CONDITIONS; COOLING; GEOMAGNETISM; HEAT FLUX; PRANDTL NUMBER; STEADY FLOW; STRUCTURAL GEOLOGY;

EID: 37049004532     PISSN: 03091929     EISSN: 10290419     Source Type: Journal    
DOI: 10.1080/03091920701472550     Document Type: Conference Paper
Times cited : (23)

References (57)
  • 1
    • 0030971702 scopus 로고    scopus 로고
    • Thermal convection in rotating spherical shells
    • Ardes, M., Busse, FH and Wicht, J. (1997) Thermal convection in rotating spherical shells. Phys. Earth Planet. Inter., 99, pp. 55-67.
    • (1997) Phys. Earth Planet. Inter. , vol.99 , pp. 55-67
    • Ardes, M.1    Busse, F.H.2    Wicht, J.3
  • 2
    • 0002807741 scopus 로고
    • The principle of minimized iterations in the solution of the matrix eigenvalue problem
    • Arnoldi, WE (1951) The principle of minimized iterations in the solution of the matrix eigenvalue problem. Quart. J. Appl. Math., 9, pp. 17-29.
    • (1951) Quart. J. Appl. Math. , vol.9 , pp. 17-29
    • Arnoldi, W.E.1
  • 3
    • 33845746403 scopus 로고    scopus 로고
    • Detecting thermal boundary control in surface flows from numerical dynamos
    • Aubert, J., Amit, H. and Hulot, G. (2007) Detecting thermal boundary control in surface flows from numerical dynamos. Phys. Earth Planet. Int., 160, pp. 143-156.
    • (2007) Phys. Earth Planet. Int. , vol.160 , pp. 143-156
    • Aubert, J.1    Amit, H.2    Hulot, G.3
  • 4
    • 0346743197 scopus 로고    scopus 로고
    • The effect of thermal core-mantle interactions on the paleomagnetic secular variation
    • Bloxham, J. (2000) The effect of thermal core-mantle interactions on the paleomagnetic secular variation. Phil. Trans. R. Soc. Lond., pp. 1171-1179.
    • (2000) Phil. Trans. R. Soc. Lond. , pp. 1171-1179
    • Bloxham, J.1
  • 5
    • 0023163838 scopus 로고
    • Thermal core-mantle interactions
    • Bloxham, J. and Gubbins, D. (1987) Thermal core-mantle interactions. Nature, 325, pp. 511-513.
    • (1987) Nature , vol.325 , pp. 511-513
    • Bloxham, J.1    Gubbins, D.2
  • 7
    • 84891194786 scopus 로고
    • Thermal instabilities in rapidly rotating systems
    • Busse, FH (1970) Thermal instabilities in rapidly rotating systems. J. Fluid Mech., 44, pp. 441-460.
    • (1970) J. Fluid Mech. , vol.44 , pp. 441-460
    • Busse, F.H.1
  • 9
    • 0037668145 scopus 로고    scopus 로고
    • Secular variation in numerical geodynamo models with lateral variations of boundary heat flow
    • Christensen, UR and Olson, P. (2003) Secular variation in numerical geodynamo models with lateral variations of boundary heat flow. Phys. Earth Planet. Inter., 138, pp. 39-54.
    • (2003) Phys. Earth Planet. Inter. , vol.138 , pp. 39-54
    • Christensen, U.R.1    Olson, P.2
  • 11
    • 0010372429 scopus 로고    scopus 로고
    • Modélisation Numérique de la Dynamo Terrestre
    • PhD thesis, l'Institute de Physique du Globe de Paris
    • Dormy, E. (1997) Modélisation Numérique de la Dynamo Terrestre. PhD thesis, l'Institute de Physique du Globe de Paris
    • (1997)
    • Dormy, E.1
  • 12
    • 12944335138 scopus 로고    scopus 로고
    • Dynamo models for the Earth's magnetic field
    • PhD thesis, University of Leeds
    • Gibbons, SJ (1998) Dynamo models for the Earth's magnetic field. PhD thesis, University of Leeds
    • (1998)
    • Gibbons, S.J.1
  • 13
    • 0033930243 scopus 로고    scopus 로고
    • Convection in the Earth's core driven by lateral variations in the coremantle boundary heat flux
    • Gibbons, SJ and Gubbins, D. (2000) Convection in the Earth's core driven by lateral variations in the coremantle boundary heat flux. Geophys. J. Int., 143, pp. 631-642.
    • (2000) Geophys. J. Int. , vol.143 , pp. 631-642
    • Gibbons, S.J.1    Gubbins, D.2
  • 14
    • 84963157125 scopus 로고
    • Nonlinear dynamics of Boussinesq convection in a deep rotating spherical shell I
    • Gilman, PA (1977) Nonlinear dynamics of Boussinesq convection in a deep rotating spherical shell I. Geophys. Astrophys. Fluid Dyn., 8, pp. 93-135.
    • (1977) Geophys. Astrophys. Fluid Dyn. , vol.8 , pp. 93-135
    • Gilman, P.A.1
  • 15
    • 84893207660 scopus 로고
    • Nonlinear dynamics of Boussinesq convection in a deep rotating spherical shell II: Effects of temperature boundary conditions
    • Gilman, PA (1978) Nonlinear dynamics of Boussinesq convection in a deep rotating spherical shell II: Effects of temperature boundary conditions. Geophys. Astrophys. Fluid Dyn., 11, pp. 157-179.
    • (1978) Geophys. Astrophys. Fluid Dyn. , vol.11 , pp. 157-179
    • Gilman, P.A.1
  • 16
    • 0040182470 scopus 로고
    • Nonlinear dynamics of Boussinesq convection in a deep rotating spherical shell III: Effects of velocity boundary conditions
    • Gilman, PA (1978) Nonlinear dynamics of Boussinesq convection in a deep rotating spherical shell III: Effects of velocity boundary conditions. Geophys. Astrophys. Fluid Dyn., 11, pp. 181-203.
    • (1978) Geophys. Astrophys. Fluid Dyn. , vol.11 , pp. 181-203
    • Gilman, P.A.1
  • 17
    • 37049017440 scopus 로고
    • Compressible convection in a rotating spherical-shell 4. effects of viscosity, conductivity, boundary-conditions, and zone depth
    • Glatzmaier, GA and Gilman, PA (1981) Compressible convection in a rotating spherical-shell 4. effects of viscosity, conductivity, boundary-conditions, and zone depth. Astrophysical Journal Supplement Series, 47, pp. 103-115.
    • (1981) Astrophysical Journal Supplement Series , vol.47 , pp. 103-115
    • Glatzmaier, G.A.1    Gilman, P.A.2
  • 19
    • 0033613368 scopus 로고    scopus 로고
    • The role of the Earth's mantle in controlling the frequency of geomagnetic reversals
    • Glatzmaier, GA, Coe, RS, Hongre, L. and Roberts, PH (1999) The role of the Earth's mantle in controlling the frequency of geomagnetic reversals. Nature, 401, pp. 885-890.
    • (1999) Nature , vol.401 , pp. 885-890
    • Glatzmaier, G.A.1    Coe, R.S.2    Hongre, L.3    Roberts, P.H.4
  • 20
    • 85040636551 scopus 로고    scopus 로고
    • Low Pacific secular variation
    • American Geophysical Union, Geodynamics Series
    • Gubbins, D. and Gibbons, S. (2004) Low Pacific secular variation. Timescales of the paleomagnetic field, pp. 279-286. American Geophysical Union, Geodynamics Series
    • (2004) Timescales of the Paleomagnetic Field , pp. 279-286
    • Gubbins, D.1    Gibbons, S.2
  • 21
    • 0027811567 scopus 로고
    • Persistent patterns in the geomagnetic field over the past 2
    • Gubbins, D. and Kelly, P. (1993) Persistent patterns in the geomagnetic field over the past 2.5 Myr. Nature, 365, pp. 829-832.
    • (1993) Nature , vol.365 , pp. 829-832
    • Gubbins, D.1    Kelly, P.2
  • 22
    • 0002032518 scopus 로고
    • Coupling of the core dynamo and mantle: Thermal or topographic?
    • Gubbins, D. and Richards, M. (1986) Coupling of the core dynamo and mantle: Thermal or topographic?. Geophys. Res. Lett., 13, pp. 1521-1524.
    • (1986) Geophys. Res. Lett. , vol.13 , pp. 1521-1524
    • Gubbins, D.1    Richards, M.2
  • 23
    • 0027388141 scopus 로고
    • Symmetry properties of the dynamo equations for paleomagnetism and geomagnetism
    • Gubbins, D. and Zhang, K. (1993) Symmetry properties of the dynamo equations for paleomagnetism and geomagnetism. Phys. Earth Planet. Int., 75, pp. 225-241.
    • (1993) Phys. Earth Planet. Int. , vol.75 , pp. 225-241
    • Gubbins, D.1    Zhang, K.2
  • 24
    • 34250788863 scopus 로고    scopus 로고
    • Correlation of Earth's magnetic field with lower mantle thermal and seismic structure
    • Gubbins, D., Willis, A. and Sreenivasan, B. (2007) Correlation of Earth's magnetic field with lower mantle thermal and seismic structure. Phys. Earth Planet. Int.
    • (2007) Phys. Earth Planet. Int.
    • Gubbins, D.1    Willis, A.2    Sreenivasan, B.3
  • 25
    • 0042844111 scopus 로고
    • A model of the geomagnetic field for the 17th century
    • Hutcheson, K. and Gubbins, D. (1990) A model of the geomagnetic field for the 17th century. J. Geophys. Res., 95, pp. 10769-10781.
    • (1990) J. Geophys. Res. , vol.95 , pp. 10769-10781
    • Hutcheson, K.1    Gubbins, D.2
  • 26
    • 0029515483 scopus 로고
    • The time-averaged geomagnetic field as recorded by lava flows over the past 5 Myr
    • Johnson, C. and Constable, C. (1995) The time-averaged geomagnetic field as recorded by lava flows over the past 5 Myr. Geophys. J. Int., 122, pp. 489-519.
    • (1995) Geophys. J. Int. , vol.122 , pp. 489-519
    • Johnson, C.1    Constable, C.2
  • 27
    • 0033921237 scopus 로고    scopus 로고
    • The onset of thermal convection in a rapidly rotating sphere
    • Jones, CA, Soward, AM and Mussa, AI (2000) The onset of thermal convection in a rapidly rotating sphere. J. Fluid Mech., 405, pp. 157-179.
    • (2000) J. Fluid Mech. , vol.405 , pp. 157-179
    • Jones, C.A.1    Soward, A.M.2    Mussa, A.I.3
  • 29
    • 0027871018 scopus 로고
    • Importance of anelasticity in the interpretation of seismic tomography
    • Karato, S. (1993) Importance of anelasticity in the interpretation of seismic tomography. Geophys. Res. Lett., 20, pp. 1623-1626.
    • (1993) Geophys. Res. Lett. , vol.20 , pp. 1623-1626
    • Karato, S.1
  • 30
    • 0001141869 scopus 로고    scopus 로고
    • Numerical dynamo modelling: Comparison with the Earth's magnetic field
    • American Geophysical Union, Washington, DC
    • Kuang, W. and Bloxham, J. (1998) Numerical dynamo modelling: Comparison with the Earth's magnetic field. The Core-Mantle Boundary Region, pp. 197-208. American Geophysical Union, Washington, DC
    • (1998) The Core-Mantle Boundary Region , pp. 197-208
    • Kuang, W.1    Bloxham, J.2
  • 33
    • 0006870847 scopus 로고
    • Seismic models of the Earth: Elastic and anelastic
    • American Geophysical Union, Washington, DC
    • Masters, TG and Shearer, PM (1995) Seismic models of the Earth: Elastic and anelastic. Global Earth Physics, pp. 88-103. American Geophysical Union, Washington, DC
    • (1995) Global Earth Physics , pp. 88-103
    • Masters, T.G.1    Shearer, P.M.2
  • 34
    • 0036900051 scopus 로고    scopus 로고
    • The time-averaged magnetic field in numerical dynamos with non-uniform boundary heat-flow
    • Olson, P. and Christensen, UR (2002) The time-averaged magnetic field in numerical dynamos with non-uniform boundary heat-flow. Geophys. J. Int., 151, pp. 809-823.
    • (2002) Geophys. J. Int. , vol.151 , pp. 809-823
    • Olson, P.1    Christensen, U.R.2
  • 35
    • 0030454757 scopus 로고    scopus 로고
    • Magnetoconvection and thermal coupling of the Earth's core and mantle
    • Olson, P. and Glatzmaier, G. (1996) Magnetoconvection and thermal coupling of the Earth's core and mantle. Phil. Trans. R. Soc. Lond., pp. 1413-1424.
    • (1996) Phil. Trans. R. Soc. Lond. , pp. 1413-1424
    • Olson, P.1    Glatzmaier, G.2
  • 36
    • 0002546519 scopus 로고
    • On the thermal instability of a rotating fluid sphere containing heat sources
    • Roberts, PH (1968) On the thermal instability of a rotating fluid sphere containing heat sources. Phil. Trans. R. Soc. Lond., pp. 93-117.
    • (1968) Phil. Trans. R. Soc. Lond. , pp. 93-117
    • Roberts, P.H.1
  • 37
    • 4644260185 scopus 로고    scopus 로고
    • Poisson's ratio in the lower mantle beneath Alaska: Evidence for compositional heterogeneity
    • Saltzer, RL, Stutzmann, E. and van der Hilst, RD (2004) Poisson's ratio in the lower mantle beneath Alaska: Evidence for compositional heterogeneity. J. Geophys. Res., p. 109.
    • (2004) J. Geophys. Res. , pp. 109
    • Saltzer, R.L.1    Stutzmann, E.2    van der Hilst, R.D.3
  • 38
    • 0031435424 scopus 로고    scopus 로고
    • The influence of boundary region heterogeneities on the geodynamo
    • Sarson, GR, Jones, CA and Longbottom, AW (1997) The influence of boundary region heterogeneities on the geodynamo. Phys. Earth planet. Inter., 101, pp. 13-32.
    • (1997) Phys. Earth Planet. Inter. , vol.101 , pp. 13-32
    • Sarson, G.R.1    Jones, C.A.2    Longbottom, A.W.3
  • 39
    • 0000322706 scopus 로고
    • Implicit application of polynomial filters in a k-step Arnoldi method
    • Sorensen, DC (1992) Implicit application of polynomial filters in a k-step Arnoldi method. SIAM J. Matrix Analysis and Applications, 13, pp. 357-385.
    • (1992) SIAM J. Matrix Analysis and Applications , vol.13 , pp. 357-385
    • Sorensen, D.C.1
  • 40
    • 0028811880 scopus 로고
    • Theory of thermal and elastic properties of the lower mantle and core
    • Stacey, FD (1995) Theory of thermal and elastic properties of the lower mantle and core. Phys. Earth Planet. Inter., 89, pp. 219-245.
    • (1995) Phys. Earth Planet. Inter. , vol.89 , pp. 219-245
    • Stacey, F.D.1
  • 41
    • 0032502537 scopus 로고    scopus 로고
    • Thermoelasticity of a mineral composite and a reconsideration of lower mantle properties
    • Stacey, FD (1998) Thermoelasticity of a mineral composite and a reconsideration of lower mantle properties. Phys. Earth Planet. Inter., 106, pp. 219-236.
    • (1998) Phys. Earth Planet. Inter. , vol.106 , pp. 219-236
    • Stacey, F.D.1
  • 42
    • 0026000782 scopus 로고
    • Predominance of long-wavelength heterogeneity in the mantle
    • Su, W. and Dziewonski, AM (1991) Predominance of long-wavelength heterogeneity in the mantle. Nature, 352, pp. 121-126.
    • (1991) Nature , vol.352 , pp. 121-126
    • Su, W.1    Dziewonski, A.M.2
  • 43
    • 0037055952 scopus 로고    scopus 로고
    • Rotating thermal convection experiments in a hemispherical shell with heterogeneous boundary heat flux: Implications for the Earth's core
    • Sumita, I. and Olson, P. (2002) Rotating thermal convection experiments in a hemispherical shell with heterogeneous boundary heat flux: Implications for the Earth's core. J. Geophys. Res., p. 107.
    • (2002) J. Geophys. Res. , vol.107
    • Sumita, I.1    Olson, P.2
  • 44
    • 0001807879 scopus 로고
    • Transitions to chaotic thermal convection in a rapidly rotating spherical fluid shell
    • Sun, ZP, Schubert, G. and Glatzmaier, GA (1993) Transitions to chaotic thermal convection in a rapidly rotating spherical fluid shell. Geophys. Astrophys. Fluid Dyn., 69, pp. 95-131.
    • (1993) Geophys. Astrophys. Fluid Dyn. , vol.69 , pp. 95-131
    • Sun, Z.P.1    Schubert, G.2    Glatzmaier, G.A.3
  • 45
    • 0028684193 scopus 로고
    • Numerical simulations of thermal convection in a rapidly rotating spherical shell cooled inhomogeneously from above
    • Sun, ZP, Schubert, G. and Glatzmaier, GA (1994) Numerical simulations of thermal convection in a rapidly rotating spherical shell cooled inhomogeneously from above. Geophys. Astrophys. Fluid Dyn., 75, pp. 199-226.
    • (1994) Geophys. Astrophys. Fluid Dyn. , vol.75 , pp. 199-226
    • Sun, Z.P.1    Schubert, G.2    Glatzmaier, G.A.3
  • 46
    • 0033308632 scopus 로고    scopus 로고
    • The effects of thermal boundary condition on convection in rapidly rotating spherical shells
    • Takehiro, S., Ishiwatari, M., Nakajima, K. and Hayashi, YY (1999) The effects of thermal boundary condition on convection in rapidly rotating spherical shells. Theoret. Appl. Mech., 48, pp. 415-421.
    • (1999) Theoret. Appl. Mech. , vol.48 , pp. 415-421
    • Takehiro, S.1    Ishiwatari, M.2    Nakajima, K.3    Hayashi, Y.Y.4
  • 47
    • 33747730864 scopus 로고    scopus 로고
    • Linear Stability of Thermal Convection in Rotating Systems with Fixed Heat Flux Boundaries
    • Takehiro, S., Ishiwatari, M., Nakajima, K. and Hayashi, Y. (2002) Linear Stability of Thermal Convection in Rotating Systems with Fixed Heat Flux Boundaries. Geophys. Astrophys. Fluid Dyn., 96:6, pp. 439-459.
    • (2002) Geophys. Astrophys. Fluid Dyn. , vol.96 , Issue.6 , pp. 439-459
    • Takehiro, S.1    Ishiwatari, M.2    Nakajima, K.3    Hayashi, Y.4
  • 48
    • 0031080374 scopus 로고    scopus 로고
    • Finite-amplitude convection in rotating spherical fluid shells
    • Tilgner, A. and Busse, FH (1997) Finite-amplitude convection in rotating spherical fluid shells. J. Fluid Mech., 332, pp. 359-376.
    • (1997) J. Fluid Mech. , vol.332 , pp. 359-376
    • Tilgner, A.1    Busse, F.H.2
  • 49
    • 7444248513 scopus 로고    scopus 로고
    • Probabilistic tomography maps chemical heterogeneities throughout the lower mantle
    • Trampert, J., Deschamps, F., Resovsky, J. and Yuen, D. (2004) Probabilistic tomography maps chemical heterogeneities throughout the lower mantle. Science, 306, pp. 853-856.
    • (2004) Science , vol.306 , pp. 853-856
    • Trampert, J.1    Deschamps, F.2    Resovsky, J.3    Yuen, D.4
  • 50
    • 0027045451 scopus 로고
    • Asymptotic theory of thermal convection in rapidly rotating systems
    • Yano, JI (1992) Asymptotic theory of thermal convection in rapidly rotating systems. J. Fluid Mech., 243, pp. 103-131.
    • (1992) J. Fluid Mech. , vol.243 , pp. 103-131
    • Yano, J.I.1
  • 51
    • 0026283661 scopus 로고
    • Convection in a rapidly rotating spherical shell at infinite Prandtl number: Steadily drifting rolls
    • Zhang, K. (1991) Convection in a rapidly rotating spherical shell at infinite Prandtl number: Steadily drifting rolls. Phys. Earth Planet. Inter., 68, pp. 156-169.
    • (1991) Phys. Earth Planet. Inter. , vol.68 , pp. 156-169
    • Zhang, K.1
  • 52
    • 0026803616 scopus 로고
    • Spiralling columnar convection in rapidly rotating spherical fluid shells
    • Zhang, K. (1992) Spiralling columnar convection in rapidly rotating spherical fluid shells. J. Fluid Mech., 236, pp. 535-556.
    • (1992) J. Fluid Mech. , vol.236 , pp. 535-556
    • Zhang, K.1
  • 53
    • 84963486735 scopus 로고
    • On the onset of convection in rotating spherical shells
    • Zhang, K. and Busse, FH (1987) On the onset of convection in rotating spherical shells. Geophys. Astrophys. Fluid Dyn., 39, pp. 119-147.
    • (1987) Geophys. Astrophys. Fluid Dyn. , vol.39 , pp. 119-147
    • Zhang, K.1    Busse, F.H.2
  • 54
    • 0026497869 scopus 로고
    • On convection in the Earth's core driven by lateral temperature variations in the lower mantle
    • Zhang, K. and Gubbins, D. (1992) On convection in the Earth's core driven by lateral temperature variations in the lower mantle. Geophys. J. Int., 102, pp. 247-255.
    • (1992) Geophys. J. Int. , vol.102 , pp. 247-255
    • Zhang, K.1    Gubbins, D.2
  • 55
    • 13044306101 scopus 로고
    • Convection in a rotating spherical fluid shell with an inhomogeneous temperature boundary condition at infinite Prandtl number
    • Zhang, K. and Gubbins, D. (1993) Convection in a rotating spherical fluid shell with an inhomogeneous temperature boundary condition at infinite Prandtl number. J. Fluid Mech., 250, pp. 209-232.
    • (1993) J. Fluid Mech. , vol.250 , pp. 209-232
    • Zhang, K.1    Gubbins, D.2
  • 56
    • 0029656369 scopus 로고    scopus 로고
    • Convection in a rotating spherical fluid shell with an inhomogeneous temperature boundary condition at finite Prandtl number
    • Zhang, K. and Gubbins, D. (1996) Convection in a rotating spherical fluid shell with an inhomogeneous temperature boundary condition at finite Prandtl number. Phys. Fluids, 8, pp. 1141-1148.
    • (1996) Phys. Fluids , vol.8 , pp. 1141-1148
    • Zhang, K.1    Gubbins, D.2
  • 57
    • 0001227011 scopus 로고
    • The influence of Ekman boundary layers on rotating convection
    • Zhang, K. and Jones, CA (1993) The influence of Ekman boundary layers on rotating convection. Geophys. Astrophys. Fluid Dyn., 71, pp. 145-162.
    • (1993) Geophys. Astrophys. Fluid Dyn. , vol.71 , pp. 145-162
    • Zhang, K.1    Jones, C.A.2


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