Reexamination of a scale-similarity model for the subgrid-scale flux in the Earth's core

Geophysical and Astrophysical Fluid Dynamics

Volumn 100, Issue 4-5, 2006, Pages 363-377

  Matsushima, Masaki ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

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

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; KINETIC ENERGY; MAGNETOHYDRODYNAMICS; TURBULENT FLOW;

DIRECT NUMERICAL SIMULATION; LARGE EDDY SIMULATION; MAGNETIC ENERGY; SCALE SIMILARITY; SPATIAL DISTRIBUTION; SUBGRID SCALE;

HEAT FLUX;

BOUNDARY CONDITIONS; COMPUTER SIMULATION; HEAT FLUX; KINETIC ENERGY; MAGNETOHYDRODYNAMICS; TURBULENT FLOW;

BOUNDARY CONDITION; COMPUTER SIMULATION; CORE (PLANETARY); LARGE EDDY SIMULATION; NUMERICAL MODEL; SPATIAL DISTRIBUTION;

EID: 33845528423     PISSN: 03091929     EISSN: 10290419     Source Type: Journal    
DOI: 10.1080/03091920600768397     Document Type: Conference Paper

References (24)

1. Bardina, J and Ferziger, JH and Reynolds, WC. (1980) Improved subgrid scale models for large-eddy simulations Am. Inst. Aeronaut. Astronaut. Paper. 89-1357
2. Braginsky, SI and Meytlis, VP. (1990) Local turbulence in the Earth's core Geophys. Astrophys. Fluid Dynam., 55, pp. 71-87.
3. Buffett, BA. (2003) A comparison of subgrid-scale models for large-eddy simulations of convection in the Earth's core Geophys. J. Int., 153, pp. 753-765.
4. Chen, Q and Glatzmaier, GA. (2005) Large eddy simulations of two-dimensional turbulent convection in a density-stratified fluid Geophys. Astrophys. Fluid Dynam., 99, pp. 355-375.
5. Cook, AW. (1997) Determination of the constant coefficient in scale similarity models of turbulence Phys. Fluids, 9, pp. 1485-1487.
6. Donald, JT and Roberts, PH. (2004) The effect of anisotropic heat transport in the Earth's core on the geodynamo Geophys. Astrophys. Fluid Dynam., 98, pp. 367-384.
7. Dormy, E and Valet, J-P and Courtillot, V. (2000) Numerical models of the geodynamo and observational constraints Geochem. Geophys. Geosyst., 1, pp. 2000GC000062.
8. Germano, M. (1986) A proposal for a redefinition of the turbulent stresses in the filtered Navier-Stokes equations Phys. Fluids, 29, pp. 2323-2324.
9. Germano, M and Piomelli, U and Moin, P and Cabot, WH. (1991) A dynamic subgrid-scale eddy viscosity model Phys. Fluids A, 3, pp. 1760-1765.
10. Glatzmaier, GA and Roberts, PH. (1995) A three-dimensional self-consistent computer simulation of a geomagnetic field reversal Nature, 377, pp. 203-209.
11. Kageyama, A and Sato, T. (1995) the Complexity Simulation Group, Computer simulation of a magnetohydrodynamic dynamo. II Phys. Plasmas, 2, pp. 1421-1431.
12. Kono, M and Roberts, PH. (2002) Recent geodynamo simulations and observations of the geomagnetic field Rev. Geophys., 40, pp. 1013. doi:10.1029/2000RG000102
13. Leonard, A. (1974) Energy cascade in large-eddy simulations of turbulent flow Adv. Geophys., 18, pp. 237-248.
14. Matsui, H and Buffett, BA. (2005) Sub-grid scale model for convection-driven dynamos in a rotating plane layer Phys. Earth Planet. Int., 153, pp. 108-123.
15. Matsushima, M. (2004) Scale similarity in the Earth's core Earth Planets Space, 56, pp. 599-605.
16. Matsushima, M. (2005) A scale-similarity model for the subgrid-scale flux with application to MHD turbulence in the Earth's core Phys. Earth Planet. Int., 153, pp. 74-82.
17. Matsushima, M and Nakajima, T and Roberts, PH. (1999) The anisotropy of local turbulence in the Earth's core Earth Planets Space, 51, pp. 277-286.
18. Meneveau, C and Katz, J. (2000) Scale-invariance and turbulence models for large-eddy simulation Annu. Rev. Fluid Mech., 32, pp. 1-32.
19. Phillips, CG and Ivers, DJ. (2000) Spherical anisotropic diffusion models for the Earth's core Phys. Earth Planet. Int., 117, pp. 209-223.
20. Phillips, CG and Ivers, DJ. (2001) Spherical interactions of rapidly-rotating anisotropic turbulent viscous and thermal diffusion in the Earth's core Phys. Earth Planet. Int., 128, pp. 93-107.
21. Phillips, CG and Ivers, DJ. (2003) Strong field anisotropic diffusion models for the Earth's core Phys. Earth Planet. Int., 140, pp. 13-28.
22. Roberts, PH and Glatzmaier, GA. (2000) Geodynamo theory and simulations Rev. Mod. Phys., 72, pp. 1081-1123.
23. Pierre, MG, St. (1996) On the local nature of turbulence in Earth's outer core Geophys. Astrophys. Fluid Dynam., 83, pp. 293-305.
24. Takahashi, F and Matsushima, M and Honkura, Y. (2005) Simulations of a quasi-Taylor state geomagnetic field including polarity reversals on the Earth Simulator Science, 309, pp. 459-461.