메뉴 건너뛰기




Volumn 83, Issue 1-2, 1996, Pages 79-117

High Rayleigh number convection at infinite prandtl number with weakly temperature-dependent viscosity

Author keywords

Extended Boussinesq approximation; Mantle convection; Temperature dependent viscosity; Three dimensional numerical simulation; Toroidal motion; Viscous dissipation

Indexed keywords


EID: 0010510076     PISSN: 03091929     EISSN: None     Source Type: Journal    
DOI: 10.1080/03091929608213643     Document Type: Article
Times cited : (9)

References (55)
  • 1
    • 0005410596 scopus 로고
    • Three-dimensional fully spectral numerical method for mantle convection with depth-dependent properties
    • Balachandar, S. and Yuen, D. A., "Three-dimensional fully spectral numerical method for mantle convection with depth-dependent properties," J. Comput. Phys. 113, 62-74 (1994).
    • (1994) J. Comput. Phys. , vol.113 , pp. 62-74
    • Balachandar, S.1    Yuen, D.A.2
  • 2
    • 0027790055 scopus 로고
    • Viscous and adiabatic heatin effects in three-dimensional compressible convection at infinite Prandtl number
    • Balachandar, S., Yuen, D. A. and Reuteler, D. M., "Viscous and adiabatic heatin effects in three-dimensional compressible convection at infinite Prandtl number," Phys. Fluids A5, 2938-2945 (1993).
    • (1993) Phys. Fluids , vol.A5 , pp. 2938-2945
    • Balachandar, S.1    Yuen, D.A.2    Reuteler, D.M.3
  • 3
    • 0028792750 scopus 로고
    • Localization of toroidal motion and shear heating in 3-D high Rayleigh number convection with temperature-dependent viscosity
    • Balachandar, S., Yuen, D. A. and Reuteler, D. M., "Localization of toroidal motion and shear heating in 3-D high Rayleigh number convection with temperature-dependent viscosity," Geophys. Res. Lett. 22, 477-480 (1995).
    • (1995) Geophys. Res. Lett. , vol.22 , pp. 477-480
    • Balachandar, S.1    Yuen, D.A.2    Reuteler, D.M.3
  • 4
    • 0028886847 scopus 로고
    • Viscous dissipation in three-dimensional convection with temperature-dependent viscosity
    • Balachandar, S., Yuen, D. A., Reuteler, D. M. and Lauer, G. S., "Viscous dissipation in three-dimensional convection with temperature-dependent viscosity," Science 267, 1150-1153 (1995).
    • (1995) Science , vol.267 , pp. 1150-1153
    • Balachandar, S.1    Yuen, D.A.2    Reuteler, D.M.3    Lauer, G.S.4
  • 5
    • 6944228693 scopus 로고    scopus 로고
    • Plate-like toroidal motion in models of mantle flow with viscous heating and temperature-dependent viscosity
    • submitted
    • Bercovici, D., "Plate-like toroidal motion in models of mantle flow with viscous heating and temperature-dependent viscosity," Science submitted (1996).
    • (1996) Science
    • Bercovici, D.1
  • 6
    • 0020937525 scopus 로고
    • Generation of mean flows by thermal convection
    • Busse, F. H., "Generation of mean flows by thermal convection," Physica 9D, 287-299 (1983).
    • (1983) Physica , vol.9 D , pp. 287-299
    • Busse, F.H.1
  • 7
    • 0021787422 scopus 로고
    • Square-pattern convection in fluids with strongly temperature-dependent viscosity
    • Busse, F. H., and Frick, H., "Square-pattern convection in fluids with strongly temperature-dependent viscosity," J. Fluid Mech. 150, 451-465 (1985).
    • (1985) J. Fluid Mech. , vol.150 , pp. 451-465
    • Busse, F.H.1    Frick, H.2
  • 9
    • 0021574852 scopus 로고
    • Convection with pressure and temperature-dependent non-Newtonian rheology
    • Christensen, U. R., "Convection with pressure and temperature-dependent non-Newtonian rheology," Geophys. J. R. Astr. Soc. 77, 343-384 (1984).
    • (1984) Geophys. J. R. Astr. Soc. , vol.77 , pp. 343-384
    • Christensen, U.R.1
  • 10
    • 0026084511 scopus 로고
    • 3-D convection with variable viscosity convection
    • Christensen, U. R., and Harder, H., "3-D convection with variable viscosity convection," Geophys, J. Int. 104, 213-226 (1991).
    • (1991) Geophys, J. Int. , vol.104 , pp. 213-226
    • Christensen, U.R.1    Harder, H.2
  • 11
    • 0027396740 scopus 로고
    • Transient high-Rayleigh-number thermal convection with large viscosity contrasts
    • Davaille, A., and Jaupart, C., "Transient high-Rayleigh-number thermal convection with large viscosity contrasts," J. Fluid Mech. 253, 141-166 (1993).
    • (1993) J. Fluid Mech. , vol.253 , pp. 141-166
    • Davaille, A.1    Jaupart, C.2
  • 12
    • 0022076976 scopus 로고
    • Fast thermoviscous convection
    • Fowler, A. C., "Fast thermoviscous convection," Stud. Appl. Math. 72, 189-219 (1985).
    • (1985) Stud. Appl. Math. , vol.72 , pp. 189-219
    • Fowler, A.C.1
  • 13
    • 0027385238 scopus 로고
    • Variable viscosity convection experiments with a stress-free upper boundary and implications for the heat-transport in the Earth's mantle
    • Giannandrea, E. and Christensen, U. R., "Variable viscosity convection experiments with a stress-free upper boundary and implications for the heat-transport in the Earth's mantle," Phys. Earth Planet Int. 78, 139-152 (1993).
    • (1993) Phys. Earth Planet Int. , vol.78 , pp. 139-152
    • Giannandrea, E.1    Christensen, U.R.2
  • 14
    • 84955041633 scopus 로고
    • Thermal feedback in liquid flow: Plane shear at constant stress
    • Gruntfest, I. J., "Thermal feedback in liquid flow: plane shear at constant stress," Trans. Soc. Rheol. 7, 195-207 (1963).
    • (1963) Trans. Soc. Rheol. , vol.7 , pp. 195-207
    • Gruntfest, I.J.1
  • 15
    • 0019384637 scopus 로고
    • A simple global model of plate dynamics and mantle convection
    • Hager, B. H. and O'Conell, P. J., "A simple global model of plate dynamics and mantle convection," J. Geophys. Res. 86, 4843-4867 (1981).
    • (1981) J. Geophys. Res. , vol.86 , pp. 4843-4867
    • Hager, B.H.1    O'Conell, P.J.2
  • 16
    • 0027799390 scopus 로고
    • High Rayleigh number regime of temperature-dependent viscosity convection and the Earth's early thermal history
    • Hansen, U. and Yuen, D. A., "High Rayleigh number regime of temperature-dependent viscosity convection and the Earth's early thermal history," Geophys. Res. Lett. 20, 2191-2194 (1993).
    • (1993) Geophys. Res. Lett. , vol.20 , pp. 2191-2194
    • Hansen, U.1    Yuen, D.A.2
  • 18
    • 0001240039 scopus 로고
    • Time-dependent convection induced by broken spatial symmetries
    • Hartung, G. Busse, F. H. and Rehberg, I., "Time-dependent convection induced by broken spatial symmetries," Phys. Rev. Lett. 66, 2142-2145 (1991).
    • (1991) Phys. Rev. Lett. , vol.66 , pp. 2142-2145
    • Hartung, G.1    Busse, F.H.2    Rehberg, I.3
  • 19
    • 0028571682 scopus 로고
    • Sensitivity of convection with an endothermic phase change to the form of governing equations, initial conditions, boundary conditions and equation of state
    • Ita, J. and King, S. D., "Sensitivity of convection with an endothermic phase change to the form of governing equations, initial conditions, boundary conditions and equation of state," Geophys. Res. 99, 15919-15938 (1994).
    • (1994) Geophys. Res. , vol.99 , pp. 15919-15938
    • Ita, J.1    King, S.D.2
  • 20
    • 0018984073 scopus 로고
    • Convection in a compressible fluid with infinite Prandtl number
    • Jarvis, G. T. and McKenzie, D. P., "Convection in a compressible fluid with infinite Prandtl number," J. Fluid Mech. 96, 515-583 (1980).
    • (1980) J. Fluid Mech. , vol.96 , pp. 515-583
    • Jarvis, G.T.1    McKenzie, D.P.2
  • 21
    • 0022858952 scopus 로고
    • Lateral heterogeneity in the convectina mantle
    • Jarvis, G. T. and Peltier, W. R., "Lateral heterogeneity in the convectina mantle," J. Geophys. Res. 91, 435-451 (1986).
    • (1986) J. Geophys. Res. , vol.91 , pp. 435-451
    • Jarvis, G.T.1    Peltier, W.R.2
  • 22
  • 23
    • 0001097273 scopus 로고
    • Variable viscosity effects on the stability of flows in channels and pipes
    • Joseph, D. D., "Variable viscosity effects on the stability of flows in channels and pipes," Phys. Fluids 7, 1761-1771 (1964).
    • (1964) Phys. Fluids , vol.7 , pp. 1761-1771
    • Joseph, D.D.1
  • 24
    • 0001674633 scopus 로고
    • Large-scale flow generation in turbulent convection
    • Krishnamurti, R. and Howard, L. N., "Large-scale flow generation in turbulent convection," Proc. Nat. Acad. Sci. USA. 78, 1981-1985 (1981).
    • (1981) Proc. Nat. Acad. Sci. USA. , vol.78 , pp. 1981-1985
    • Krishnamurti, R.1    Howard, L.N.2
  • 25
    • 0028883070 scopus 로고
    • Dynamics of thermal convection with Newtonian temperature-dependent viscosity at high Rayleigh number
    • Larsen, T. B., Yuen, D. A., Malevsky, A. V. and Smedsmo, J. L., "Dynamics of thermal convection with Newtonian temperature-dependent viscosity at high Rayleigh number," Phys. Earth Planet. Inter. 89, 9-33 (1995).
    • (1995) Phys. Earth Planet. Inter. , vol.89 , pp. 9-33
    • Larsen, T.B.1    Yuen, D.A.2    Malevsky, A.V.3    Smedsmo, J.L.4
  • 26
    • 0024937201 scopus 로고
    • Internal heating and thermal constraints on the mantle
    • Leitch, A. M. and Yuen, D. A., "Internal heating and thermal constraints on the mantle," Geophys. Res. Lett. 16, 1407-1410 (1989).
    • (1989) Geophys. Res. Lett. , vol.16 , pp. 1407-1410
    • Leitch, A.M.1    Yuen, D.A.2
  • 27
    • 0025964562 scopus 로고
    • Mantle convection with internal heating and pressure-dependent thermal expansivity
    • Leitch, A. M., Yuen, D. A. and Scwell, G., "Mantle convection with internal heating and pressure-dependent thermal expansivity," Earth Planet. Sci. Lett. 102, 113-127 (1991).
    • (1991) Earth Planet. Sci. Lett. , vol.102 , pp. 113-127
    • Leitch, A.M.1    Yuen, D.A.2    Scwell, G.3
  • 28
    • 84963450642 scopus 로고
    • Strongly chaotic non-Newtonian mantle convection
    • Malevsky, A. V. and Yuen, D. A., "Strongly chaotic non-Newtonian mantle convection," Geophys. Astrophys. Fluid Dynam. 65, 149-171 (1992).
    • (1992) Geophys. Astrophys. Fluid Dynam. , vol.65 , pp. 149-171
    • Malevsky, A.V.1    Yuen, D.A.2
  • 29
    • 0024939378 scopus 로고
    • On convective style and vigor in sheet-like magma chambers
    • Marsh, B. D., "On convective style and vigor in sheet-like magma chambers," J. Petrology 30, 479-530 (1989).
    • (1989) J. Petrology , vol.30 , pp. 479-530
    • Marsh, B.D.1
  • 30
    • 0022219883 scopus 로고
    • On the distribution and separation of crystals in convecting magma
    • Marsh, B. D. and Maxey, M. R., "On the distribution and separation of crystals in convecting magma," J. Volcanol. Geotherm Res. 24, 95-150 (1985).
    • (1985) J. Volcanol. Geotherm Res. , vol.24 , pp. 95-150
    • Marsh, B.D.1    Maxey, M.R.2
  • 31
    • 0005301730 scopus 로고
    • A boundary layer analysis of Benard convection with strongly temperature-dependent viscosity
    • Morris, S. and Canright, D., "A boundary layer analysis of Benard convection with strongly temperature-dependent viscosity," Phys. Earth Planet. Int. 36, 355-373 (1984).
    • (1984) Phys. Earth Planet. Int. , vol.36 , pp. 355-373
    • Morris, S.1    Canright, D.2
  • 32
    • 0027045948 scopus 로고
    • Polar motions excited by a convecting viscous mantle
    • Moser, J., Yuen, D. A. and Matyska, C., "Polar motions excited by a convecting viscous mantle," Geophys. Res. Lett. 19, 2251-2254 (1992).
    • (1992) Geophys. Res. Lett. , vol.19 , pp. 2251-2254
    • Moser, J.1    Yuen, D.A.2    Matyska, C.3
  • 33
    • 0013724032 scopus 로고
    • Variable viscosity flows in heated and cooled channels
    • Ockendon, H. and Ockendon, J. R., "Variable viscosity flows in heated and cooled channels," J. Fluid Mech. 83, 177-190 (1977).
    • (1977) J. Fluid Mech. , vol.83 , pp. 177-190
    • Ockendon, H.1    Ockendon, J.R.2
  • 34
    • 0026392048 scopus 로고
    • Numerical simulations of three-dimensional thermal convection in a fluid with strongly temperature-dependent viscosity
    • Ogawa, M., Schubert, G. and Zebib, A., "Numerical simulations of three-dimensional thermal convection in a fluid with strongly temperature-dependent viscosity," J. Fluid Mech. 223, 299-328 (1991).
    • (1991) J. Fluid Mech. , vol.223 , pp. 299-328
    • Ogawa, M.1    Schubert, G.2    Zebib, A.3
  • 35
    • 0002675971 scopus 로고
    • Planform of convection with strongly temperature-dependent viscosity
    • Oliver, D. S. and Booker, J. R., "Planform of convection with strongly temperature-dependent viscosity," Geophys. Astrophys. Fluid Dynam. 27, 73-85 (1983).
    • (1983) Geophys. Astrophys. Fluid Dynam. , vol.27 , pp. 73-85
    • Oliver, D.S.1    Booker, J.R.2
  • 36
    • 0026299476 scopus 로고
    • On the equipartition of kinetic-energy in plate-tectonics
    • Olson, P. and Bercovici, D., "On the equipartition of kinetic-energy in plate-tectonics," Geophys. Res. Lett. 18, 1751-1754 (1991).
    • (1991) Geophys. Res. Lett. , vol.18 , pp. 1751-1754
    • Olson, P.1    Bercovici, D.2
  • 37
    • 84974045725 scopus 로고
    • Variable viscosity flows in channels with high heat generation
    • Pearson, J. R. A., "Variable viscosity flows in channels with high heat generation," J. Fluid Mech. 83, 191-206 (1977).
    • (1977) J. Fluid Mech. , vol.83 , pp. 191-206
    • Pearson, J.R.A.1
  • 39
    • 84974073974 scopus 로고
    • Heat-transfer and horizontally averaged temperature of convection with large viscosity variations
    • Richter, F. M., Nataf, H.-C. and Daly, S. F., "Heat-transfer and horizontally averaged temperature of convection with large viscosity variations," J. Fluid. Mech. 129, 173-192 (1983).
    • (1983) J. Fluid. Mech. , vol.129 , pp. 173-192
    • Richter, F.M.1    Nataf, H.-C.2    Daly, S.F.3
  • 40
    • 0000048673 scopus 로고
    • GMRES: A generalized minimum residual algorithm for solving nonsymmetric linear systems
    • Saad, Y. and Schultz, M. H., "GMRES: A generalized minimum residual algorithm for solving nonsymmetric linear systems," SIAM J. Sci. Comput. 7, 856-869 (1986).
    • (1986) SIAM J. Sci. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 41
    • 84869709358 scopus 로고
    • On the stability of steady finite amplitude convection
    • Schlueter, A., Lortz, D. and Busse, F. H., "On the stability of steady finite amplitude convection," J. Fluid Mech. 23, 129-144 (1965).
    • (1965) J. Fluid Mech. , vol.23 , pp. 129-144
    • Schlueter, A.1    Lortz, D.2    Busse, F.H.3
  • 42
    • 0024928116 scopus 로고
    • Compressible convection with constant and variable viscosity: The effect on slab formation, geoid and topography
    • Schmeling, H., "Compressible convection with constant and variable viscosity: the effect on slab formation, geoid and topography," J. Geophys. Res. 94, 12,463-12,481 (1989).
    • (1989) J. Geophys. Res. , vol.94
    • Schmeling, H.1
  • 43
    • 0024927266 scopus 로고
    • Compressible convection in the Earth's mantle: A comparison of different approaches
    • Steinbach, V. C., Hansen, U. and Ebel, A., "Compressible convection in the Earth's mantle: a comparison of different approaches," Geophys. Res. Lett. 16, 633-636 (1989).
    • (1989) Geophys. Res. Lett. , vol.16 , pp. 633-636
    • Steinbach, V.C.1    Hansen, U.2    Ebel, A.3
  • 44
    • 84971996028 scopus 로고
    • Onset of convection in a variable viscosity fluid
    • Stengel, K. C., Oliver, D. S. and Booker, J. R., "Onset of convection in a variable viscosity fluid," J. Fluid Mech. 120, 411-431 (1982).
    • (1982) J. Fluid Mech. , vol.120 , pp. 411-431
    • Stengel, K.C.1    Oliver, D.S.2    Booker, J.R.3
  • 45
    • 0027868620 scopus 로고
    • Effects of strongly temperature-dependent viscosity on time-dependent, three-dimensional models of mantle convection
    • Tackley, P. J., "Effects of strongly temperature-dependent viscosity on time-dependent, three-dimensional models of mantle convection," Geophys. Res. Lett. 20, 2187-2190 (1993).
    • (1993) Geophys. Res. Lett. , vol.20 , pp. 2187-2190
    • Tackley, P.J.1
  • 46
    • 0029729204 scopus 로고    scopus 로고
    • Effects of strongly variable viscosity on three-dimensional compressible convection convection in planetary mantles
    • submitted
    • Tackley, P. J., "Effects of strongly variable viscosity on three-dimensional compressible convection convection in planetary mantles," J. Geophys. Res. submitted (1996).
    • (1996) J. Geophys. Res.
    • Tackley, P.J.1
  • 47
    • 84919164481 scopus 로고
    • Thermal convection with large viscosity variations
    • Torrance, K. E. and Turcotte, D. L., "Thermal convection with large viscosity variations," J. Fluid Mech. 47, 113-125 (1971).
    • (1971) J. Fluid Mech. , vol.47 , pp. 113-125
    • Torrance, K.E.1    Turcotte, D.L.2
  • 48
    • 0001850625 scopus 로고
    • Towards a theory of thermal convection in the mantle
    • Gaskell T. F. Academic Press, London
    • Tozer, D. C., "Towards a theory of thermal convection in the mantle," in: The Earth's Mantle, Gaskell T. F. pp 325-353, Academic Press, London (1967).
    • (1967) The Earth's Mantle , pp. 325-353
    • Tozer, D.C.1
  • 49
    • 0025463855 scopus 로고
    • The transition from two-dimensional to three-dimensional planforms in infinite-Prandtl-number thermal convection
    • Travis, B., Olson, P. and Schubert, G., "The transition from two-dimensional to three-dimensional planforms in infinite-Prandtl-number thermal convection," J. Fluid Mech. 216, 71-91 (1990).
    • (1990) J. Fluid Mech. , vol.216 , pp. 71-91
    • Travis, B.1    Olson, P.2    Schubert, G.3
  • 51
    • 84974380238 scopus 로고
    • The planforms and onset of convectiont with temperature-dependent viscosity fluid
    • White, D. B., "The planforms and onset of convectiont with temperature-dependent viscosity fluid," J. Fluid Mech. 191, 247-286 (1988).
    • (1988) J. Fluid Mech. , vol.191 , pp. 247-286
    • White, D.B.1
  • 52
    • 0027047882 scopus 로고
    • Helicity and thermal convection with shear
    • Wu, W. S., Lilly, D. K. and Kerr, R. M., "Helicity and thermal convection with shear," J. Atmos. Sci. 49, 1800-1809 (1992).
    • (1992) J. Atmos. Sci. , vol.49 , pp. 1800-1809
    • Wu, W.S.1    Lilly, D.K.2    Kerr, R.M.3
  • 53
    • 0004619016 scopus 로고
    • Asthenospheric shear flow: Thermally stable or unstable?
    • Yuen, D. A. and Schubert, G., "Asthenospheric shear flow: thermally stable or unstable?," Geophys. Res. Lett. 4, 503-506 (1977).
    • (1977) Geophys. Res. Lett. , vol.4 , pp. 503-506
    • Yuen, D.A.1    Schubert, G.2
  • 54
    • 0023163865 scopus 로고
    • Effects from equattion of state and rheology in dissipative heating in compressible mantle convection
    • Yuen, D. A., Quareni, F. and Hong, H. J., "Effects from equattion of state and rheology in dissipative heating in compressible mantle convection," Nature 326, 67-69 (1986).
    • (1986) Nature , vol.326 , pp. 67-69
    • Yuen, D.A.1    Quareni, F.2    Hong, H.J.3
  • 55
    • 0041373243 scopus 로고
    • The effects of adiabatic and viscous heatins on plumes
    • Zhao, W. and Yuen, D. A., "The effects of adiabatic and viscous heatins on plumes," Geophys. Res. Lett. 14, 1223-1226 (1987).
    • (1987) Geophys. Res. Lett. , vol.14 , pp. 1223-1226
    • Zhao, W.1    Yuen, D.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.