Dynamics of fingering convection. Part 2 the formation of thermohaline staircases

Journal of Fluid Mechanics

Volumn 677, Issue , 2011, Pages 554-571

  Stellmach, S ^a,b,c   Traxler, A ^b   Garaud, P ^b   Brummell, N ^b   Radko, T ^d  

^a UNIVERSITY OF MÜNSTER   (Germany)

^b University of California Santa Cruz   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

^d NAVAL POSTGRADUATE SCHOOL   (United States)

Author keywords

double diffusive convection; geophysical and geological flows

Indexed keywords

HEAT CONVECTION; MEAN FIELD THEORY;

COLLECTIVE INSTABILITIES; CRITICAL AMPLITUDES; DOUBLE-DIFFUSIVE CONVECTION; DOUBLE-DIFFUSIVE SYSTEMS; GEOPHYSICAL AND GEOLOGICAL FLOWS; INSTABILITY MECHANISMS; NONLINEAR INTERACTIONS; THERMOHALINE STAIRCASE;

STAIRS;

DOUBLE DIFFUSION; FINGERING; FLUID DYNAMICS; NUMERICAL MODEL; STRATIFIED FLUID; THERMOHALINE CIRCULATION; THREE-DIMENSIONAL MODELING;

EID: 79959284277     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2011.99     Document Type: Article

References (38)

1. Bois, P. A. & Kubicki, A. 2002 Double diffusive aspects of the convection in moist-saturated air. In Continuum Thermomechanics, Solid Mechanics and its Applications, vol. 76, pp. 29-42. Springer.
2. Charbonnel, C. & Zahn, J. P. 2007 Thermohaline mixing: a physical mechanism governing the photospheric composition of low-mass giants. Astron. Astrophys. 467 (1).
3. Fer, I., Nandi, P., Holbrook, W. S., Schmitt, R. W. & Páramo, P. 2010 Seismic imaging of a thermohaline staircase in the western tropical North Atlantic. Ocean Sci. 6, 621-631.
4. Guillot, T. 1999 Interiors of giant planets inside and outside the solar system. Science 286 (5437), 72.
5. Huppert, H. E. 1971 On the stability of a series of double-diffusive layers. Deep-Sea Res. 18 (10), 1005-1021.
6. Kraichnan, R. H. 1967 Inertial ranges in two-dimensional turbulence. Phys. Fluids 10, 1417-1423.
7. Krishnamurti, R. 2003 Double-diffusive transport in laboratory thermohaline staircases. J. Fluid Mech. 483, 287-314. (Pubitemid 36726736)
8. Krishnamurti, R. 2009 Heat, salt and momentum transport in a laboratory thermohaline staircase. J. Fluid Mech. 638, 491-506.
9. Marmorino, G. O., Brown, W. K. & Morris, W. D. 1987 Two-dimensional temperature structure in the C-SALT thermohaline staircase. Deep Sea Res. Part A. Oceanogr. Res. Paper 34 (10), 1667-1676.
10. Merceret, F. J. 1977 A possible manifestation of double diffusive convection in the atmosphere. Boundary-Layer Meteorol. 11 (1), 121-123.
11. Merryfield, W. J. 2000 Origin of thermohaline staircases. J. Phys. Oceanogr. 30 (5), 1046-1068. (Pubitemid 30467149)
12. Özgökmen, T., Esenkov, O. & Olson, D. 1998 A numerical study of layer formation due to fingers in double-diffusive convection in a vertically-bounded domain. J. Mar. Res. 56 (2), 463-487. (Pubitemid 28466138)
13. Radko, T. 2003 A mechanism for layer formation in a double-diffusive fluid. J. Fluid Mech. 497, 365-380. (Pubitemid 38171603)
14. Radko, T. 2005 What determines the thickness of layers in a thermohaline staircase? J. Fluid Mech. 523, 79-98. (Pubitemid 40252432)
15. Radko, T. 2007 Mechanics of merging events for a series of layers in a stratified turbulent fluid. J. Fluid Mech. 577, 251-273. (Pubitemid 47307587)
16. Rosenblum, E., Garaud, P., Traxler, A. & Stellmach, S. 2011 Turbulent mixing and layer formation in double-diffusive convection: 3D numerical simulations and theory. Astrophys. J. 731, 66.
17. Ruddick, B. R. 1985 Momentum transport in thermohaline staircases. J. Geophys. Res. 90 (C1), 895-902.
18. Ruddick, B. & Gargett, A. E. 2003 Oceanic double-diffusion: introduction. Prog. Oceanogr. 56, 381-393.
19. Schmitt, R. W. 1979 The growth rate of super-critical salt fingers. Deep-Sea Res. 26A, 23-40.
20. Schmitt, R. W. 1981 Form of the temperature-salinity relationship in the central water: evidence for double-diffusive mixing. J. Phys. Oceanogr. 11 (7), 1015-1026.
21. Schmitt, R. W. 1994 Double diffusion in oceanography. Annu. Rev. Fluid Mech. 26 (1), 255-285. (Pubitemid 24987424)
22. Schmitt, R. W., Ledwell, J. R., Montgomery, E. T., Polzin, K. L. & Toole, J. M. 2005 Enhanced diapycnal mixing by salt fingers in the thermocline of the tropical atlantic. Science 308 (5722), 685.
23. Schmitt, R. W., Perkins, H., Boyd, J. D. & Stalcup, M. C. 1987 C-SALT: an investigation of the thermohaline staircase in the western tropical North Atlantic. Deep-Sea Res. Part A. Oceanogr. Res. Paper 34 (10), 1655-1665.
24. Stancliffe, R. J., Glebbeek, E., Izzard, R. G. & Pols, O. R. 2007 Carbon-enhanced metal-poor stars and thermohaline mixing. Astron. Astrophys. 464, L57-L60. (Pubitemid 46506755)
25. Stellmach, S. & Hansen, U. 2008 An efficient spectral method for the simulation of dynamos in Cartesian geometry and its implementation on massively parallel computers. Geochem. Geophys. Geosyst. 9 (5).
26. Stern, M.E. 1960 The salt fountain and thermohaline convection. Tellus 12 (2), 172-175.
27. Stern, M. E . 1967 Lateral mixing of water masses. Deep-Sea Res. 14 (1), 747-753.
28. Stern, M. E . 1969 Collective instability of salt fingers. J. Fluid Mech. 35.
29. Stern, M. E., Radko, T. & Simeonov, J. 2001 Salt fingers in an unbounded thermocline. J. Mar. Res. 59 (3), 355-390. (Pubitemid 32889823)
30. Stern, M. E. & Turner, J. S. 1969 Salt fingers and convecting layers. Deep-Sea Res. 16 (1), 97-511.
31. Tait, R. I. & Howe, M. R. 1971 Thermohaline staircase. Nature 231 (5299), 178-179.
32. Tait, S. & Jaupart, C. 1989 Compositional convection in viscous melts. Nature 338 (6216), 571-574. (Pubitemid 19313563)
33. Toole, J. & Georgi, D. 1981 On the dynamics of double diffusively driven intrusions. Prog. Oceanogr. 10, 123-145.
34. Traxler, A., Garaud, P. & Stellmach, S. 2011 Numerically determined transport laws for fingering ('thermohaline') convection in astrophysics. Astrophys. J. Lett. 728 (2), L29.
35. Traxler, A., Stellmach, S., Garaud, P., Radko, T. & Brummell, N. 2011 Dynamics of fingering convection. Part 1 Small-scale fluxes and large-scale instabilities. J. Fluid Mech. doi:10.1017/jfm.2011.98.
36. Vauclair, S . 2004 Metallic fingers and metallicity excess in Exoplanets' host stars: the accretion hypothesis revisited. Astrophys. J. 605 (2), 874-879.
37. Veronis, G. 2007 Updated estimate of double diffusive fluxes in the C-SALT region. Deep-Sea Res. I 54.
38. Walsh, D. & Ruddick, B. 1995 Double-diffusive interleaving: the influence of nonconstant diffusivities. J. Phys. Oceanogr. 25, 348-358.