A scale-similarity model for the subgrid-scale flux with application to MHD turbulence in the Earth's core

Physics of the Earth and Planetary Interiors

Volumn 153, Issue 1-3, 2005, Pages 74-82

  Matsushima, Masaki ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Earth's core; MHD turbulence; Scale similarity; Subgrid scale

Indexed keywords

COMPUTER SIMULATION; CORRELATION METHODS; MAGNETIC FLUX; MAGNETOHYDRODYNAMICS; MATHEMATICAL MODELS; TURBULENCE;

MAGNETOHYDRODYNAMIC TURBULENCE; SCALE SIMILARITY; SUBGRID SCALE;

GEOMAGNETISM;

CORE (PLANETARY); MAGNETOHYDRODYNAMICS; TURBULENCE;

EID: 28444450830     PISSN: 00319201     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.pepi.2005.02.005     Document Type: Article

References (20)

1. Bardina, J., Ferziger, J.H., Reynolds, W.C., 1980. Improved subgrid scale models for large-eddy simulations. Am. Inst. Aeronaut. Astronaut. Paper 89-1357.
2. S.I. Braginsky V.P. Meytlis Local turbulence in the Earth's core Geophys. Astrophys. Fluid Dynam. 55 1990 71-87
3. B.A. Buffett A comparison of subgrid-scale models for large-eddy simulations of convection in the Earth's core Geophys. J. Int. 153 2003 753-765
4. J.A. Domaradzki K.-C. Loh The subgrid-scale estimation model in the physical space representation Phys. Fluids 11 1999 2330-2342
5. J.A. Domaradzki E.M. Saiki A subgrid-scale model based on estimation of unresolved scales of turbulence Phys. Fluids 9 1997 2148-2164
6. M. Germano A proposal for a redefinition of the turbulent stresses in the filtered Navier-Stokes equations Phys. Fluids 29 1986 2323-2324
7. E. Grote F.H. Busse A. Tilgner Effects of hyperdiffusivities on dynamo simulations Geophys. Res. Lett. 27 2000 2001-2004
8. D.J. Ivers Geodynamo models with anisotropic turbulent thermal diffusion The 9th Symposium on the Study of the Earth's Deep Interior 2004
9. M. Kono P.H. Roberts Recent geodynamo simulations and observations of the geomagnetic field Rev. Geophys. 40 2002 1013 doi:10.1029/2000RG000102
10. A. Leonard Energy cascade in large-eddy simulations of turbulent flow Adv. Geophys. 18 1974 237-248
11. H. Matsui B.A. Buffett Sub-grid scale modeling in a MHD simulation in rotating plane layer model The 9th Symposium on the Study of the Earth's Deep Interior 2004
12. M. Matsushima Expression of turbulent heat flux in the Earth's core in terms of a second moment closure model Phys. Earth Planet. Int. 128 2001 137-148
13. M. Matsushima Scale similarity in the Earth's core Earth Planets Space 56 2004 599-605
14. M. Matsushima T. Nakajima P.H. Roberts The anisotropy of local turbulence in the Earth's core Earth Planets Space 51 1999 277-286
15. C.G. Phillips D.J. Ivers Spherical anisotropic diffusion models for the Earth's core Phys. Earth Planet. Int. 117 2000 209-223
16. C.G. Phillips D.J. Ivers Spherical interactions of rapidly-rotating anisotropic turbulent viscous and thermal diffusion in the Earth's core Phys. Earth Planet. Int. 128 2001 93-107
17. C.G. Phillips D.J. Ivers Strong field anisotropic diffusion models for the Earth's core Phys. Earth Planet. Int. 140 2003 13-28
18. P.H. Roberts G.A. Glatzmaier Geodynamo theory and simulations Rev. Mod. Phys. 72 2000 1081-1123
19. M.G. St. Pierre On the local nature of turbulence in Earth's outer core Geophys. Astrophys. Fluid Dynam. 83 1996 293-305
20. K. Zhang C.A. Jones The effect of hyperviscosity on geodynamo models Geophys. Res. Lett. 24 1997 2869-2872