A non-hydrostatic ocean model with a scalable multigrid Poisson solver

Ocean Modelling

Volumn 24, Issue 1-2, 2008, Pages 15-28

  Matsumura, Yoshimasa ^a   Hasumi, Hiroyasu ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

Ice Shelf Water overflow; Multigrid Poisson solver; Non hydrostatic ocean model

Indexed keywords

COMPUTATIONAL EFFICIENCY; COMPUTER SYSTEMS; COSTS; FINANCE; FLUID MECHANICS; HYDRAULICS; HYDRODYNAMICS; LAWS AND LEGISLATION; NUMERICAL METHODS; PARALLEL PROCESSING SYSTEMS; POISSON DISTRIBUTION; POISSON EQUATION;

COMPUTATIONAL CELLS; COMPUTATIONAL GRIDS; DENSE WATERS; ELSEVIER (CO); HIGH RESOLUTIONS; HYDROSTATIC MODELING; ICE SHELF WATER (ISW); MULTI GRID; MULTIGRID (MG) METHOD; NON-HYDROSTATIC MODEL (NHM); OCEAN MODELLING; PARALLEL COMPUTING EFFICIENCY; POISSON SOLVERS; SPARSE APPROXIMATE INVERSE (SAI); SUB-SPACE METHODS; VELOCITY FIELDS; WEDDELL SEA;

FLUIDS;

DENSE WATER; HYDROSTATICS; INVERSE PROBLEM; NUMERICAL MODEL; PARALLEL COMPUTING; POISSON RATIO;

SOUTHERN OCEAN; WEDDELL SEA;

EID: 48149106679     PISSN: 14635003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ocemod.2008.05.001     Document Type: Article

References (39)

1. Adcroft A., Hill C., and Marshall J. Representation of topography by shaved cells in a height coordinate ocean model. Mon. Weather Rev. 125 9 (1997) 2293-2315
2. Arakawa, A., Lamb, V.R., 1977. Computational Design of the Basic Dynamical Processes of the UCLA General Circulation Model. Methods in Computational Physics, vol. 26, WMO-ICSU Joint Orgnizing Committee.
3. Asselin R. Frequency filter for time integrations. Mon. Weather Rev. 100 6 (1972) 487-490
4. Barrett R., Berry M., Chan T.F., Demmel J., Donato J.M., Dongarra J., Eijkhout V., Pozo R., Romine C., and der Vorst H.V. Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods. second ed. (1994), SIAM, Philadelphia, PA
5. Benzi M. Preconditioning techniques for large linear systems: a survey. J. Comput. Phys. 182 (2002) 418-477
6. Bröker O., and Grote M.J. Sparse approximate inverse smoothers for geometric and algebraic multigrid. Appl. Numer. Math. 41 (2002) 61-80
7. Deardorff J.W. Three-dimensional numerical study of the height and mean structure of a heated planetary boundary layer. Boundary Layer Meteorol. 7 (1974) 81-106
8. Foldvik A., Gammelsrød T., Nygaard E., and Østerhus S. Current measurements near Ronne ice shelf: implications for circulation and melting. J. Geophys. Res. 106 C3 (2001) 4463-4477
9. Foldvik A., Gammelsrød T., Østerhus S., Fahrbach E., Rohardt G., Schröder M., Nicholls K.W., Padman L., and Woodgate R.A. Ice shelf water overflow and bottom water formation in the southern Weddell Sea. J. Geophys. Res. 109 C2 (2004) C02015
10. Gordon A.L., Visbeck M., and Huber B. Export of Weddell Sea deep and bottom water. J. Geophys. Res. 106 C5 (2001) 9005-9017
11. Griffies S.M., and Hallberg R.W. Biharmonic friction with a Smagorinsky-like viscosity for use in large-scale eddy-permitting ocean models. Mon. Weather Rev. 128 8 (2000) 2935-2946
12. Grote M.J., and Huckle T. Parallel preconditioning with sparse approximate inverses. SIAM J. Sci. Comput. 18 4 (1997) 838-853
13. Kanarska Y., Shchepetkin A., and McWilliams J.C. Algorithm for non-hydrostatic dynamics in the regional oceanic modeling system. Ocean Modell. 18 (2007) 143-174
14. Killworth P.D. Deep convection in the world ocean. Rev. Geophys. 21 1 (1983) 1-26
15. Large W.G., McWilliams J.C., and Doney S.C. Oceanic vertical mixing: a review and a model with a nonlocal boundary layer parameterization. Rev. Geophys. 32 4 (1994) 363-403
16. Leddwell J.R., Montgomery E.T., Polzin K.L., St. Laurent L.C., Schmitt R.W., and Toole J.M. Evidence for enhanced mixing over rough topography in the abyssal ocean. Nature 403 6766 (2000) 179-182
17. Legg S., Hallberg R.W., and Girton J.B. Comparison of entrainment in overflows simulated by z-coordinate, isopycnal and non-hydrostatic models. Ocean Modell. 11 (2006) 69-97
18. Marshall J., and Schott F. Open-ocean convection: observations, theory, and models. Rev. Geophys. 37 1 (1999) 1-64
19. Marshall J., Adcroft A., Hill C., Perelman L., and Heisey C. A finite-volume, incompressible Navier-Stokes model for studies of the ocean on parallel computers. J. Geophys. Res. 102 C3 (1997) 5753-5766
20. Marshall J., Hill C., Perelman L., and Adcroft A. Hydrostatic, quasi-hydrostatic, and nonhydrostatic ocean modeling. J. Geophys. Res. 102 C3 (1997) 5333-5752
21. Matsumura Y., and Hasumi H. Brine-driven eddies under sea ice leads and their impact on the Arctic Ocean mixed layer. J. Phys. Oceanogr. 38 1 (2008) 146-163
22. Mellor G.L. An equation of state for numerical models of oceans and estuaries. J. Atmos. Oceanic Technol. 8 4 (1991) 609-611
23. Mellor G.L., and Yamada T. A hierarchy of turbulence closure models for planetary boundary layers. J. Atmos. Sci. 31 7 (1974) 1791-1806
24. Moeng C.-H. A large-eddy-simulation model for the study of planetary boundary-layer turbulence. J. Atmos. Sci. 41 13 (1984) 2052-2062
25. Munk W., and Wunsch C. Abyssal recipes. II: Energetics of tidal and wind mixing. Deep Sea Res. I 45 (1998) 1977-2010
26. Nakamura T., and Awaji T. Tidally induced diapycnal mixing in the Kuril Straits and its role in water transformation and transport: a three-dimensional nonhydrostatic model experiment. J. Geophys. Res. 109 C9 (2004) C09S07
27. Orsi A.H., Johnson G.C., and Bullister J.L. Circulation, mixing, and production of Antarctic bottom water. Progr. Oceanogr. 43 (1999) 55-109
28. Press W.H., Teukolsky S.A., Vetterling W.T., and Flannery B.P. Numerical Recipes in FORTRAN: The Art of Scientific Computing. second ed. (1992), Cambridge University Press, New York, NY, USA
29. Price J.F., and Baringer O. Outflows and deep water production by marginal seas. Progr. Oceanogr. 33 3 (1994) 161-200
30. Redi M.H. Oceanic isopycnal mixing by coordinate rotation. J. Phys. Oceanogr. 12 10 (1982) 1154-1158
31. Saad Y., and van der Vorst H.A. Iterative solution of linear systems in the 20th century. J. Comput. Appl. Math. 123 (2000) 1-33
32. Skyllingstad E.D., Smyth W.D., and Crawford G.B. Resonant wind-driven mixing in the ocean boundary layer. J. Phys. Oceanogr. 30 8 (2000) 1866-1890
33. Smagorinsky J. General circulation experiments with the primitive equations: I. The basic experiment. Mon. Weather Rev. 91 3 (1963) 99-164
34. Smyth W.D., and Winters K.B. Turbulence and mixing in holmboe waves. J. Phys. Oceanogr. 33 4 (2003) 694-711
35. Smyth W.D., Nash J.D., and Moum J.N. Differential diffusion in breaking Kelvin-Helmholtz billows. J. Phys. Oceanogr. 35 6 (2005) 1004-1022
36. Tang W.-P., and Wan W.L. Sparse approximate inverse smoother for multigrid. SIAM J. Matrix Anal. Appl. 21 4 (2000) 1236-1252
37. Trottenberg U., Oosterlee C., and Schüller A. MULTIGRID (2000), Academic Press, London
38. Visbeck M., Marshall J., and Jones H. Dynamics of isolated convective regions in the ocean. J. Phys. Oceanogr. 26 9 (1996) 1721-1734
39. Xu X., Chang Y.S., Peters H., Özgökmen T.M., and Chassignet E.P. Parameterization of gravity current entrainment for ocean circulation models using a high-order 3d nonhydrostatic spectral element model. Ocean Modell. 14 (2006) 19-44