Second-order moment advection scheme applied to Arctic Ocean simulation

Ocean Modelling

Volumn 14, Issue 3-4, 2006, Pages 197-221

  Maqueda, M A Morales ^a   Holloway, G ^b  

^a NATIONAL OCEANOGRAPHY CENTRE   (United Kingdom)

^b INSTITUTE OF OCEAN SCIENCES   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; NUMERICAL METHODS; SEA ICE; SURFACE WATERS;

HYDROGRAPHIC PROPERTIES; LARGE-SCALE; NUMERICAL ADVECTION; OCEAN SIMULATION; SECOND-ORDER MOMENT (SOM);

COMPUTER SIMULATION;

ADVECTION; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; NUMERICAL MODEL; WATER MASS;

ARCTIC OCEAN;

EID: 33746093296     PISSN: 14635003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ocemod.2006.05.003     Document Type: Article

References (50)

1. Asselin R.A. Frequency filter for time integrations. Mon. Weather Rev. 100 (1972) 487-490
2. Bleck R. An oceanic general circulation model framed in hybrid isopycnic-Cartesian coordinates. Ocean Modell. 4 (2002) 55-88
3. Boris J.P., and Book D.L. Flux-corrected transport. III. Minimal-error FCT algorithms. J. Comp. Phys. 20 (1976) 397-431
4. Carpenter R.L., Droegemeier K.K., Woodward P.R., and Hane C.E. Application of the piecewise parabolic method (PPM) to meteorological modelling. Mon. Weather Rev. 118 (1990) 586-612
5. Colella P., and Woodward P.R. The piecewise parabolic method (PPM) for gas-dynamical simulations. J. Comp. Phys. 54 (1984) 174-201
6. D'Asaro E.A., and Morison J.M. Internal waves and mixing in the Arctic Ocean. Deep-Sea Res. 39 (1992) S459-S484
7. Drange H., and Bleck R. Multidimensional forward-in-time upstream-in-space differencing for fluids. Mon. Weather Rev. 125 (1997) 616-630
8. Dukhovskoy D.S., Johnson M.A., and Proshutinsky A. Arctic decadal variability: an auto-oscillatory system of heat and fresh water exchange. Geophys. Res. Lett. 31 (2004) 10.1029/2003GL01902
9. Durran D.R. The third-order Adams-Bashforth method: An attractive alternative to leapfrog time differencing. Mon. Weather Rev. 119 (1991) 702-720
10. Farrow D.E., and Stevens D.P. A new tracer advection scheme for Bryan and Cox type ocean general circulation models. J. Phys. Oceanogr. 25 (1995) 1731-1741
11. Fichefet T., and Morales Maqueda M.A. Sensitivity of a global sea ice model to the treatment of ice thermodynamics and dynamics. J. Geophys. Res. 102 (1997) 12,609-12,646
12. Gerdes R., Köberle C., and Willebrand J. The influence of numerical advection schemes on the results of ocean general circulation models. Clim. Dyn. 5 (1991) 211-226
13. Hofmann M., and Morales Maqueda M.A. Performance of a second-order moments advection scheme in an ocean general circulation model. J. Geophys. Res. (2006) 111 10.1029/2005JC003279
14. Haltiner G.J., and Williams R.T. Numerical Prediction and Dynamic Meteorology (1980), John Wiley and Sons pp. 477
15. Hasumi H., and Suginohara N. Sensitivity of a global ocean general circulation model to tracer advection schemes. J. Phys. Oceanogr. 29 (1999) 2730-2740
16. Hecht, M.W. 2006. Forward-in-time upwind-weighted methods in ocean modelling. doi:10.1002/fld.1136.
17. Holloway G. Systematic forcing of large-scale geophysical flows by eddy-topography interaction. J. Fluid Mech. 184 (1987) 463-476
18. Holloway G. From classical to statistical ocean dynamics. Surveys in Geophysics 25 (2004) 203-219
19. Holt J.T., and James I.D. An s coordinate density evolving model of the northwest European continental shelf 1, Model description and density structure. J. Geophys. Res. 106 (2001) 14,015-14,034
20. Hundsdorfer W., and Trompert R. Method of lines and direct discretization: a comparison for linear advection. Appl. Num. Math. 13 (1994) 469-490
21. Hundsdorfer W., Koren B., vanLoon M., and Verwer J.G. A positive finite-difference advection scheme. J. Comput. Phys. 117 (1995) 35-46
22. James I.D. Advection schemes for shelf sea models. J. Mar. Syst. 8 (1996) 237-254
23. Killworth P.D., and Smith J.M. A one-and-a-half dimensional model for the Arctic halocline. Deep-Sea Res. 31 (1984) 271-293
24. Leonard B.P. A stable and accurate convective modelling procedure based on quadratic upstream interpolation. Comput. Methods Appl. Mech. Engrg. 19 (1979) 59-98
25. Merryfield W.J., and Holloway G. Application of an accurate advection algorithm to sea-ice modelling. Ocean Modell. 5 (2003) 1-15
26. Merryfield W.J., Holloway G., and Gargett A.E. A global ocean model with double-diffusive mixing. J. Phys. Oceanogr. 29 (1999) 1124-1142
27. Müller R. The performance of classical versus modern finite-volume advection schemes for atmospheric modeling in a one-dimensional test-bed. Mon. Weather Rev. 120 (1992) 1407-1415
28. Nazarenko L., Holloway G., and Tausnev N. Dynamics of transport of Atlantic signature in the Arctic Ocean. J. Geophys. Res. 103 (1998) 31,003-31,016
29. Noye J. Finite difference methods for partial differential equations. In: Noye J. (Ed). Numerical Solutions of Partial Differential Equations vol. 647 (1982), North-Holland Publishing Company, Amsterdam 3-137
30. Pacanowski, R.C., Griffies, S.M., 1999. MOM 3.0 Manual. NOAA/Geophysical Fluid Dynamics Laboratory, Princeton, USA 08542.
31. Prather M.J. Numerical advection by conservation of second-order moments. J. Geophys. Res. 91 (1986) 6671-6681
32. Proshutinsky A., and Johnson M.A. Two circulation regimes of the wind-driven Arctic Ocean. J. Geophys. Res. 102 (1997) 12,493-12,514
33. Proshutinsky A., Bourke R.H., and MacLaughlin F.A. The role of the Beaufort Gyre in Arctic climate variability: seasonal to decadal climate scales. Geophys. Res. Lett. 29 (2002) 10.1029/2002GL015847
34. Russell G.L., and Lerner J.A. A new finite-differencing scheme for the tracer transport equation. J. Appl. Meteorol. 20 (1981) 1483-1498
35. Shia R.-L., Ha Y.L., Wen J.-S., and Yung Y.L. Two-dimensional atmospheric transport and chemistry model - numerical experiments with a new advection algorithm. J. Geophys. Res. 95 (1990) 7467-7483
36. Shimada K., McLaughlin F., Carmack E., Proshutinsky A., Nishino S., and Itoh M. Penetration of the 1990s warm temperature anomaly of Atlantic Water in the Canada Basin. Geophys. Res. Lett. 31 (2004) 10.1029/2004GL020860
37. Smolarkiewicz P.K. A positive definite advection scheme with small implicit diffusion. Mon. Weather Rev. 111 (1983) 479-486
38. Smolarkiewicz P.K. A fully multidimensional positive definite advection transport algorithm with implicit diffusion. J. Comput. Phys. 54 (1984) 325-362
39. Smolarkiewicz P.K. Comment of "A positive definite advection scheme obtained by nonlinear renormalization of the advective fluxes". Mon. Weather Rev. 117 (1989) 2626-2632
40. Smolarkiewicz P.K., and Clark T.L. The multidimensional positive definite advection transport algorithm: further developments and applications. J. Comput. Phys. 67 (1986) 396-438
41. Smolarkiewicz P.K., and Grabowski W.W. The multidimensional positive definite advection transport algorithm: nonoscillatory option. J. Comput. Phys. 86 (1990) 355-475
42. Smolarkiewicz P.K., and Margolin L.G. On forward-in-time differencing for fluids: extension to a curvilinear framework. Mon. Weather Rev. 121 (1993) 1847-1859
43. Smolarkiewicz P.K., and Szmelter J. MPDATA: An edge-based unstructured-grid formulation. J. Comput. Phys. 206 (2005) 624-649
44. Steele M., Ermold W., Holloway G., HSkkinen S., Holland D.M., Karcher M., Kauker F., Maslowski W., Steiner N., and Zhang J. Adrift in the Beaufort Gyre: a model intercomparison. Geophys. Res. Lett. 28 (2001) 2935-2938
45. Steele M., Morley R., and Ermold W. PHC: A global ocean hydrography with a high quality Arctic Ocean. J. Climate 14 (2001) 2079-2087
46. Sweby P.K. High resolution schemes using flux limiters for hyperbolic conservation laws. SIAM J. Numer. Anal. 21 (1984) 995-1011
47. Toggweiler J.R., and Samuels B. On the Ocean s large-scale circulation near the limit of no vertical mixing. J. Phys. Oceanogr. 28 (1998) 1832-1852
48. Thuburn J. Multidimensional flux-limited advection schemes. J. Comput. Phys. 123 (1996) 74-83
49. Veronis G. The role of models in tracer studies. Numer. Models Ocean Circul., Natl. Acad. Sci. (1975) 133-146
50. Zalesak S.T. Fully multidimensional flux-corrected transport algorithms for fluids. J. Comput. Phys. 31 (1979) 335-362