Adjoint sensitivity of an ocean general circulation model to bottom topography

Journal of Physical Oceanography

Volumn 37, Issue 2, 2007, Pages 377-393

  Losch, Martin ^a   Heimbach, Patrick ^b  

^a ALFRED WEGENER INSTITUTE FOR POLAR AND MARINE RESEARCH   (Germany)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; PRESSURE; PRESSURE GRADIENT; TOPOGRAPHY;

BOTTOM PRESSURE; BOTTOM TOPOGRAPHY; OCEAN GENERAL CIRCULATION MODEL;

OCEANOGRAPHY;

BOTTOM PRESSURE; BOTTOM TOPOGRAPHY; BOUNDARY CONDITION; MERIDIONAL CIRCULATION; OCEAN BASIN; OCEANIC GENERAL CIRCULATION MODEL; OVERTURN;

ATLANTIC OCEAN; DRAKE PASSAGE;

EID: 33947540004     PISSN: 00223670     EISSN: None     Source Type: Journal    
DOI: 10.1175/JPO3017.1     Document Type: Article

References (78)

1. Adcroft, A., and D. Marshall, 1998: How slippery are piecewise-constant coastlines in numerical ocean models? Tellus, 50A, 95-108.
2. Adcroft, A., C. Hill, and J. Marshall, 1997: Representation of topography by shaved cells in a height coordinate ocean model. Mon. Wea. Rev., 125, 2293-2315.
3. Ayoub, N., 2006: Estimation of boundary values in a North Atlantic circulation model using an adjoint method. Ocean Modell., 12, 319-347.
4. Beckmann, A., and R. Doescher, 1997: A method for improved representation of dense water spreading over topography in geopotential-coordinate models. J. Phys. Oceanogr., 27, 581-591.
5. Beismann, J.-O., and B. Barnier, 2004: Variability of the meridional overturning circulation of the North Atlantic: Sensitivity to overflows of dense water masses. Ocean Dyn., 54, 92-106.
6. Borowski, D., R. Gerdes, and D. Olbers, 2002: Thermohaline and wind forcing of a circumpolar channel with blocked geostrophic contours. J. Phys. Oceanogr., 32, 2520-2540.
7. Bryan, R., 1987: Parameter sensitivity of primitive equation ocean general circulation models. J. Phys. Oceanogr., 17, 970-985.
8. Bugnion, V., 2001: Driving the ocean's overturning: An adjoint sensitivity study. Ph.D. thesis, Massachusetts Institute of Technology, 194 pp.
9. Campin, J.-M., and H. Goosse, 1999: Parameterization of density-driven downsloping flow for a coarse-resolution ocean model in z-coordinate. Tellus, 51A, 412-430.
10. Das, S. K., and R. W. Lardner, 1991: On the estimation of parameters of hydraulic models by assimilation of periodic tidal data. J. Geophys. Res., 96, 15 187-15 196.
11. Das, S. K., and R. W. Lardner, 1992: Variational parameter estimation for a two-dimensional numerical tidal model. Int. J. Numer. Methods Fluids, 15, 313-327.
12. Döös, K., and D. J. Webb, 1994: The Deacon cell and the other meridional cells of the Southern Ocean. J. Phys. Oceanogr., 24, 429-442.
13. Dutkiewicz, S., M. J. Follows, P. Heimbach, and J. C. Marshall, 2006: Controls on ocean productivity and air-sea carbon flux: An adjoint model sensitivity study. Geophys. Res. Lett., 33, L02603, doi:10.1029/ 2005GL024987.
14. Ferreira, D., J. Marshall, and P. Heimbach, 2005: Estimating eddy stresses by fitting dynamics to observations using a residual-mean ocean circulation model. J. Phys. Oceanogr., 35, 1891-1910.
15. Ferron, B., and J. Marotzke, 2003: Impact of 4D-variational data assimilation of WOCE hydrography on the meridional circulation of the Indian Ocean. Deep-Sea Res. II, 50, 2005-2021.
16. Fukumori, I., T. Lee, B. Cheng, and D. Menemenlis, 2004: The origin, pathway, and destination of Niño-3 water estimated by a simulated passive tracer and its adjoint. J. Phys. Oceanogr., 34, 582-604.
17. Galanti, E., and E. Tziperman, 2003: A midlatitude-ENSO teleconnection mechanism via baroclinically unstable long Rossby waves. J. Phys. Oceanogr., 33, 1877-1887.
18. Galanti, E., E. Tziperman, M. Harrison, A. Rosati, R. Giering, and Z. Sirkes, 2002: The equatorial thermocline outcropping - A seasonal control on the tropical Pacific ocean-atmosphere instability. J. Climate, 15, 2721-2739.
19. Ganachaud, A., and C. Wunsch, 2000: Improved estimates of global ocean circulation, heat transport and mixing from hydrographic data. Nature, 408, 453-457.
20. Gebbie, G., P. Heimbach, and C. Wunsch, 2006: Strategies for nested and eddy-permitting state estimation. J. Geophys. Res., 111, C10073, doi:10.1029/2005JC003094.
21. Gent, P. R., and J. C. McWilliams, 1990: Isopycnal mixing in ocean circulation models. J. Phys. Oceanogr., 20, 150-155.
22. Gent, P. R., W. G. Large, and F. O. Bryan, 2001: What sets the mean transport through Drake Passage? J. Geophys. Res., 106, 2693-2712.
23. Giering, R., and T. Kaminski, 1998: Recipes for adjoint code construction. ACM Trans. Math. Softw., 24, 437-474.
24. Giles, M. B., 2002: On the iterative solution of adjoint equations. Automatic Differentiation of Algorithms: From Simulation to Optimization, G. Corliss et al., Eds., Springer-Verlag, 145-152.
25. Griewank, A., 2000: Evaluating Derivatives. Principles and Techniques of Algorithmic Differentiation. Frontiers in Applied Mathematics, Vol. 19, SIAM, 369 pp.
26. Heemink, A. W., E. E. A. Mouthaan, M. R. T. Roest, E. A. H. Vollebregt, K. B. Robaczewska, and M. Verlaan, 2002: Inverse 3D shallow water flow modelling of the continental shelf. Contin. Shelf Res., 22, 465-484.
27. Heimbach, P., C. Hill, and R. Giering, 2002: Automatic generation of efficient adjoint code for a parallel Navier-Stokes solver. Computational Science - ICCS 2002, J. J. Dongarra, P. M. A. Sloot, and C. J. K. Tan, Eds., Lecture Notes in Computer Science, Vol. 2331, Springer-Verlag, 1019-1028.
28. Heimbach, P., C. Hill, and R. Giering, 2005: An efficient exact adjoint of the parallel MIT general circulation model, generated via automatic differentiation. Future Generation Comput. Syst., 21, 1356-1371.
29. Hill, C., V. Bugnion, M. Follows, and J. Marshall, 2004: Evaluating carbon sequestration efficiency in an ocean circulation model by adjoint sensitivity analysis. J. Geophys. Res., 109, Cl1005, doi:10.1029/ 2002JC001598.
30. Holland, W. R., 1973: Baroclinic and topographic influences on the transport in western boundary currents. Geophys. Fluid Dyn., 4, 187-210.
31. Huang, B., P. H. Stone, and C. Hill, 2003: Sensitivities of deep-ocean heat uptake and heat content to surface fluxes and subgrid-scale parameters in an ocean general circulation model with idealized geometry. J. Geophys. Res., 108, 3015, doi:10.1029/2001 JC001218.
32. Jiang, S., P. H. Stone, and P. Malanotte-Rizzoli, 1999: An assessment of the Geophysical Fluid Dynamics Laboratory ocean model with coarse resolution: Annual-mean climatology. J. Geophys. Res., 104, 25 623-25 645.
33. Junge, M. M., and T. W. N. Haine, 2001: Mechanisms of North Atlantic wintertime sea surface temperature anomalies. J. Climate, 14, 4560-4572.
34. Köhl, A., 2005: Anomalies of the meridional overturning: Mechanisms in the North Atlantic. J. Phys. Oceanogr., 35, 1455-1472.
35. Köhl, A., and J. Willebrand, 2003: Variational assimilation of SSH variability from TOPEX/POSEIDON and ERS1 into an eddy-permitting model of the North Atlantic. J. Geophys. Res., 108, 3092, doi:10.1029/ 2001JC000982.
36. Köhl, A., and D. Stammer, 2004: Optimal observations for variational data assimilation. J. Phys. Oceanogr., 34, 529-542.
37. Lardner, R. W., A.H. Al-Rabeh, and N. Gunny, 1993: Optimal estimation of parameters for a two-dimensional hydrodynamical model of the Arabian Gulf. J. Geophys. Res., 98, 18 229-18 242.
38. Large, W. G., G. Danabasoglu, S. C. Doney, and J. C. McWilliams, 1997: Sensitivity of surface forcing and boundary layer mixing in a global ocean model: Annual-mean climatology. J. Phys. Oceanogr., 27, 2418-2447.
39. Lea, D. J., T. W. N. Haine, and R. F. Gasparovic, 2006: Observability of the Irminger Sea circulation using variational data assimilation. Quart. J. Roy. Meteor. Soc., 132A, 1545-1576.
40. Levitus, S., and T. Boyer, 1994: Temperature. Vol. 4, World Ocean Atlas 1994, NOAA Atlas NEDSIS 4, 117 pp.
41. Levitus, S., R. Burgett, and T. Boyer, 1994: Salinity. Vol. 3, World Ocean Atlas 1994, NOAA Atlas NEDSIS 3, 99 pp.
42. Li, X., and C. Wunsch, 2003: Constraining the North Atlantic circulation between 4.5°S and 39.5°N with transient tracer observations. J. Geophys. Res., 108, 3318, doi:10.1029/2002JC001765.
43. Li, X., and C. Wunsch, 2004: An adjoint sensitivity study of chlorofluorocarbons in the North Atlantic. J. Geophys. Res., 109, C01007, doi:10.1029/2003JC002014.
44. Losch, M., and C. Wunsch, 2003: Bottom topography as a control parameter in an ocean circulation model. J. Atmos. Oceanic Technol., 20, 1685-1696.
45. Losch, M., A. Adcroft, and J.-M. Campin, 2004: How sensitive are coarse general circulation models to fundamental approximations in the equations of motion? J. Phys. Oceanogr., 34, 306-319.
46. Marotzke, J., and C. Wunsch, 1993: Finding the steady state of a general circulation model through data assimilation: Application to the North Atlantic Ocean. J. Geophys. Res., 98, 20 149-20 167.
47. Marotzke, J., R. Giering, K. Q. Zang, D. Stammer, C. Hill, and T. Lee, 1999: Construction of the adjoint MIT ocean general circulation model and application to Atlantic heat transport sensitivity. J. Geophys. Res., 104, 29 529-29 547.
48. Marshall, D. P., 1995a: Influence of topography on the large-scale ocean circulation. J. Phys. Oceanogr., 25, 1622-1635.
49. Marshall, D. P., 1995b: Topographic steering of the Antarctic Circumpolar Current. J. Phys. Oceanogr., 25, 1636-1650.
50. Marshall, D. P., and J. C. Stephens, 2001: On the insensitivity of the wind-driven circulation to bottom topography. J. Mar. Res., 59, 1-27.
51. Marshall, J., A. Adcroft, C. Hill, L. Perelman, and C. Heisey, 1997: A finite-volume, incompressible Navier-Stokes model for studies of the ocean on parallel computers. J. Geophys. Res., 102, 5753-5766.
52. Marsland, S., and J.-O. Wolff, 2001: On the sensitivity of Southern Ocean sea ice to the surface freshwater flux: A model study. J. Geophys. Res., 106, 2723-2741.
53. MITgcm Group, cited 2005: MITgcm release 1 manual. [Available online at http://mitgcm.org/sealion/online_documents/manual.html.]
54. Moore, A. M., H. G. Arango, E. D. Lorenzo, B. D. Cornuelle, A. J. Miller, and D. J. Neilson, 2004: A comprehensive ocean prediction and analysis system based on the tangent linear and adjoint of a regional ocean model. Ocean Modell., 7, 227-258.
55. Olbers, D., 1998: Comments on "On the obscurantist physics of 'form drag' in theorizing about the Circumpolar Current." J. Phys. Oceanogr., 28, 1647-1654.
56. Olbers, D., D. Borowski, C. Volker, and J.-O. Wolff, 2004: The dynamical balance, transport and circulation of the Antarctic Circumpolar Current. Antarct. Sci., 16, 439-470.
57. Pacanowski, R. C., and G. Anand, 1998: Transient response in a z-level ocean model that resolves topography with partial cells. Mon. Wea. Rev., 126, 3248-3270.
58. Penduff, T., B. Barnier, M.-A. Kerbiriou, and J. Verron, 2002: How topographic smoothing contributes to differences between the eddy flows simulated by sigma- and geopotential-coordinate models. J. Phys. Oceanogr., 32, 122-137.
59. Sheinbaum, J., and D. L. T. Anderson, 1990: Variational assimilation of XBT data. Part 1. J. Phys. Oceanogr., 20, 672-688.
60. Simmons, H. L., S. R. Jayne, L. C. St. Laurent, and A. J. Weaver, 2004: Tidally driven mixing in a numerical model of the ocean general circulation. Ocean Modell., 6, 245-263.
61. Sirkes, Z., and E. Tzipermann, 1997: Finite difference of adjoint or adjoint of finite difference? Mon. Wea. Rev., 125, 3373-3378.
62. Sloss, P. W., 1988: Digital relief of the surface of the earth. Data Announcement 88-MGG-02, National Geophysical Data Center, Boulder, CO, 50 pp.
63. Sloyan, B. M., and S. Rintoul, 2001: The Southern Ocean limb of the global deep overturning circulation. J. Phys. Oceanogr., 31, 143-173.
64. Smith, W. H. E., and D. T. Sandwell, 1997: Global seafloor topography from satellite altimetry and ship depth soundings. Science, 277, 1957-1962.
65. Speer, K. G., S. R. Rintoul, and B. M. Sloyan, 2000: The diabatic Deacon cell. J. Phys. Oceanogr., 30, 3212-3222.
66. Stammer, D., 2005: Adjusting internal model errors through ocean state estimation. J. Phys. Oceanogr., 35, 1143-1153.
67. Stammer, D., and Coauthors, 2002: The global ocean circulation during 1992-1997, estimated from ocean observations and a general circulation model. J. Geophys. Res., 107, 3118, doi:10.1029/2001JC000888.
68. Stammer, D., and Coauthors, 2003: Volume, heat and freshwater transports of the global ocean circulation 1992-1997, estimated from a general circulation model constrained by WOCE data. J. Geophys. Res., 108, 3007, doi:10.1029/2001JC001115.
69. ten Brummelhuis, P. G. J., A. W. Heemink, and H. F. P. van den Boogaard, 1993: Identification of shallow sea models. Int. J. Numer. Methods Fluids, 17, 637-665.
70. Toggweiler, J. R., and B. Samuels, 1995: Effect of Drake Passage on the global thermohaline circulation. Deep-Sea Res. I, 42, 477-500.
71. Trenberth, K. E., and J. M. Caron, 2001: Estimates of meridional atmosphere and ocean heat transports. J. Climate, 14, 3433-3443.
72. Trenberth, K. E., J. G. Olson, and W. G. Large, 1990: The mean annual cycle in global ocean wind stress. J. Phys. Oceanogr., 20, 1742-1760.
73. Tziperman, E., and W. C. Thacker, 1989: An optimal-control/ adjoint-equations approach to studying the oceanic general circulation. J. Phys. Oceanogr., 19, 1471-1485.
74. Weaver, A. T., J. Vialard, and D. L. T. Anderson, 2003: Three- and four-dimensional variational assimilation with an ocean general circulation model of the tropical Pacific Ocean. Part I: Formulation, internal diagnostics, and consistency checks. Mon. Wea. Rev., 131, 1360-1378.
75. Wunsch, C., 1984: Acoustic tomography and other answers. A Celebration in Geophysics and Oceanography - 1982. In Honor of Walter Munk on His 65th Birthday, C. Garrett and C. Wunsch, Eds., Scripps Institution of Oceanography Reference Series 84-5, Scripps Institution of Oceanography, University of California, San Diego, 47-62.
76. Wunsch, C., 1996: The Ocean Circulation Inverse Problem. Cambridge University Press, 442 pp.
77. Wunsch, C., 2005: The total meridional heat flux and its oceanic and atmospheric partition. J. Climate, 18, 4374-4380.
78. Wunsch, C., and P. Heimbach, 2006: Practical global oceanic state estimation. Physica D, in press.