Magnetic structures in a dynamo simulation

Journal of Fluid Mechanics

Volumn 306, Issue , 1996, Pages 325-352

  Brandenburg, A ^a   Jennings, R L ^b,j   Nordlund, A ^c,d   Rieutord, M ^e,f   Stein, R F ^g   Tuominen, I ^h,i  

^a NORDITA   (Denmark)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^c THEORETICAL ASTROPHYSICS CENTER   (Denmark)

^d Copenhagen University Observatory ^*  (Denmark)

^e OBSERVATOIRE MIDI PYRÉNÉES   (France)

^f CERFACS   (France)

^g MICHIGAN STATE UNIVERSITY   (United States)

^h Observatory   (Finland)

ⁱ UNIVERSITY OF OULU   (Finland)

^j SHELL RESEARCH AND TECHNOLOGY CENTRE   (Netherlands)

more..

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSIBLE; CONVECTION; MAGNETOHYDRODYNAMICS; TURBULENCE;

BUOYANCY; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; MATHEMATICAL MODELS; TURBULENCE; VORTEX FLOW;

COMPRESSIBLE CONVECTION; MAGNETIC STRUCTURES; VORTEX BUOYANCY;

DC GENERATORS;

EID: 0029656766     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112096001322     Document Type: Article

References (44)

1. ANDRÉ, J.-C. & LESIEUR, M, 1977 Influence of helicity on high Reynolds number isotropic turbulence. J. Fluid Mech. 81, 187-207.
2. BATCHELOR, G. K. 1950 On the spontaneous magnetic field in a conducting liquid in turbulent motion. Proc. R. Soc. Lond. A 201, 405-416.
3. BRANDENBURG, A., NORDLUND, A., STEIN, R. F. & TORKELSSON, U. 1995a Dynamo generated turbulence and large scale magnetic fields in a Keplerian shear flow. Astrophys. J. 446, 741-754.
4. BRANDENBURG, A., PROCACCIA, I. & SEGEL, D. 1995b The size and dynamics of magnetic flux structures in MHD turbulence. Phys. Plasmas 2, 1148-1156.
5. CASTAING, B., GUNARATNE, G., HESLOT, F., KADANOFF, L., LIBCHABER, A., THOMAE, S., WU, X.-Z., ZALESKI, S. & ZANETTI, G. 1989 Scaling of hard thermal turbulence in Rayleigh-Bénard convection. J. Fluid Mech. 204, 1-30.
6. CATTANEO, F., HUGHES, D. W. & WEISS, N. O. 1991 What is a stellar dynamo? Mon. Not. R. Astron. Soc. 253, 479-484.
7. DITTRICH, P. K., MOLCHANOV, S. A., RUZMAIKIN, A. A. & SOKOLOFF, D. D. 1988 Stationary distribution of the value of the magnetic field in a random flow. Magnetohydrodynamics 24, 274-276.
8. DOUADY, S., COUDER, Y. & BRÄCHET, M. E. 1991 Direct observation of the intermittency of intense vortex filaments in turbulence. Phys. Rev. Lett. 67, 983-986.
9. GALLOWAY, D. J., PROCTOR, M. R. E. & WEISS, N. O. 1977 Formation of intense magnetic fields near the surface of the Sun. Nature 266, 686-689.
10. GILMAN, P. A. 1983 Dynamically consistent nonlinear dynamos driven by convection in a rotating spherical shell. II. Dynamos with cycles and strong feedbacks. Astrophys. J. Suppl. 53, 243-268.
11. GLATZMAIER, G. A. 1985 Numerical simulations of stellar convective dynamos. II. Field propagation in the convection zone. Astrophys. J. 291, 300-307.
12. HURLBURT, N. E., TOOMRE, J. & MASSAGUER, J. M. 1984 Two-dimensional compressible convection extending over multiple scale heights. Astrophys. J. 282, 557-573.
13. HURLBURT, N. E., TOOMRE, J. & MASSAGUER, J. M. 1986 Nonlinear compressible convection penetrating into stable layers and producing internal gravity waves. Astrophys. J. 311, 563-577.
14. HYMAN, J. M. 1979 A method of lines approach to the numerical solution of conservation laws. In Advances in Computation Methods for Partial Differential Equations, Vol. III (ed. R. Vichnevetsky & R. S. Stepleman), pp. 313-343. Publ. IMACS.
15. JENNINGS, R. L., BRANDENBURG, A., NORDLUND, A. & STEIN, R. F. 1992 Evolution of a magnetic flux tube in two dimensional penetrative convection. Mon. Not. R. Astron. Soc. 259, 465-473.
16. KERR, R. M. 1985 Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence. J. Fluid Mech. 153, 31-58.
17. KERR, R. M. 1987 Histograms of helicity and strain in numerical turbulence. Phys. Rev. Lett. 59, 783-786.
18. KIDA, S., YANASE, S. & MIZUSHIMA, J. 1991 Statistical properties of MHD turbulence and turbulent dynamo. Phys. Fluids A 3, 457-465.
19. KRAICHNAN, R. H. 1965 Inertial-range spectrum of hydromagnetic turbulence. Phys. Fluids 8, 1385-1387.
20. KRAICHNAN, R, H. 1990 Models of intermittency in hydrodynamic turbulence. Phys. Rev. Lett. 65, 575-578.
21. LESIEUR, M. 1990 Turbulence in Fluids, 2nd Edn. Martinius Nijhoff.
22. MENEGUZZI, M. & POUQUET, A. 1989 Turbulent dynamos driven by convection. J. Fluid Mech. 205, 297-312.
23. MOFFATT, H. K. 1961 The amplification of a weak magnetic applied magnetic field by turbulence in fluids of moderate conductivity. J. Fluid Mech. 11, 625-635.
24. NORDLUND, A., BRANDENBURG, A., JENNINGS, R. L., RIEUTORD, M., RUOKOLAINEN, J., STEIN, R. F. & TUOMINEN, I. 1992 Dynamo action in stratified convection with overshoot. Astrophys. J. 392, 647-652 (referred to herein as Paper I).
25. NORDLUND, A. & STEIN, R. F. 1990 3-D Simulations of solar and stellar convection and magnetoconvection. Comput. Phys. Commun. 59, 119-125.
26. PARKER, E. N. 1979 The instability of a horizontal magnetic field in an atmosphere stable against convection. Astrophys. Space Sci. 62, 135-142.
27. PARKER, E. N. 1984 Magnetic buoyancy and the escape of magnetic fields from stars. Astrophys. J. 281, 839-845.
28. PELZ, R. B., YAKHOT, V., ORSZAG, S. A., SHTILMAN, L. & LEVICH, E. 1985 Velocity-vorticity patterns in turbulent flow. Phys. Rev. Lett. 54, 2505-2508.
29. PETROVAY, K. 1991 Topological pumping in the lower overshoot layer The Sun and Cool Stars: Activity, Magnetism, Dynamos (ed. I. Tuominen, D. Moss & G. Rüdiger). Lecture Notes in Physics, vol. 380, pp. 67-70. Springer.
30. POUQUET A., FRISCH, U. & LÉORAT, J. 1976 Strong MHD helical turbulence and the nonlinear dynamo effect. J. Fluid Mech. 77, 321-354.
31. POUQUET A. & PATTERSON, G. S. 1978 Numerical simulation of helical magnetohydrodynamic turbulence. J. Fluid Mech. 85, 305-323.
32. PUMIR, A., SHRAIMAN, B. & SIGGIA, E. D. 1991 Exponential tails and random advection. Phys. Rev. Lett. 66, 2984-2987.
33. RIEUTORD, M. & ZAHN, J.-P. 1995 Turbulent plumes in stellar convective envelopes. Astron. Astrophys. 296, 127-138.
34. RUZMAIKIN, A. A. & SHUKUROV, A. M. 1982 Spectrum of the galactic magnetic field. Astrophys. Space Sci. 82, 397-407.
35. SCHÜSSLER, M. 1977 On buoyant magnetic flux tubes in the solar convection zone. Astron. Astrophys. 56, 439-442.
36. SCHÜSSLER, M. 1984 On the structure of magnetic fields in the solar convection zone. In The Hydromagnetics of the Sun (ed. T. D. Guyenne & J. J. Hunt), pp. 67-75. ESA SP-220.
37. SHE, Z.-S., JACKSON, E. & ORSZAG, S. A. 1990 Intermittent vortex structures in homogeneous isotropic turbulence. Nature 344, 226-228.
38. TOOMRE, J., ZAHN, J.-P., LATOUR, J. & SPIEGEL, E. A. 1976 Stellar convection theory. II. Single-mode study of the second convection zone in an A-type star. Astrophys. J. 207, 545-563.
39. VAINSHTEIN, S. I. & ZELDOVICH, YA. B. 1972 Origin of magnetic fields in astrophysics. Sov. Phys. Usp. 15, 159-172.
40. VALDETTARO, L. & MENEGUZZI, M. 1991 Turbulent dynamos driven by convection inside spherical shells The Sun and Cool Stars: Activity, Magnetism, Dynamos (ed. I. Tuominen, D. Moss & G. Rüdiger). Lecture Notes in Physics, vol. 380, pp. 80-85. Springer.
41. VINCENT, A. & MENEGUZZI, M. 1991 The spatial structure and statistical properties of homogeneous turbulence. J. Fluid Mech. 225, 1-20.
42. VINCENT, A. & MENEGUZZI, M. 1994 On the dynamics of vortex tubes in homogeneous turbulence. J. Fluid Mech. 258, 245-254.
43. ZELDOVICH, YA. B., MOLCHANOV, S. A., RUZMAIKIN, A. A. & SOKOLOFF, D. D. 1987 Intermittency in random media. Sov. Phys. Usp. 30, 353-369.
44. ZELDOVICH, YA. B.. RUZMAIKIN, A. A. & SOKOLOFF, D. D. 1990 The Almighty Chance. World Scientific.