An ocean general circulation model on a quasi-homogeneous cubic grid

Ocean Modelling

Volumn 22, Issue 1-2, 2008, Pages 66-86

  Tsugawa, Motohiko ^a   Tanaka, Yukio ^a   Matsuno, Taroh ^a  

^a JAPAN AGENCY FOR MARINE EARTH SCIENCE AND TECHNOLOGY   (Japan)

Author keywords

Cubic grid; Global ocean general circulation model; Spherical grid

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; INTEGRATION; PRESSURE DISTRIBUTION; TOPOGRAPHY;

CURVILINEAR COORDINATE SYSTEM; OCEAN GENERAL CIRCULATION MODEL;

OCEANOGRAPHY;

BOTTOM TOPOGRAPHY; BOUSSINESQ EQUATION; COORDINATE; HYDROSTATICS; LATITUDINAL GRADIENT; LONGITUDINAL GRADIENT; OCEANIC GENERAL CIRCULATION MODEL; PERFORMANCE ASSESSMENT;

EID: 41649110809     PISSN: 14635003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ocemod.2008.01.005     Document Type: Article

References (34)

1. Adcroft A., Campin J., Hill C., and Marshall J. Implementation of an atmosphere-ocean general circulation model on the expanded spherical cube. Mon. Weather Rev. 192 (2004) 2845
2. Antonov, J.I., Levitus, S., Boyer, T.P., Conkright, M.E., OfBrien, T.D., Stephens, C., 1998. World Ocean Atlas 1998, Temperature of the Atlantic Ocean, vol. 1, NOAA Atlas NESDIS 27, U.S. Government Printing Office, Washington, DC.
3. Arakawa A., and Lamb V.R. Computational design of the basic dynamical processes of the UCLA general circulation model. Method Comp. Phys. 17 (1977) 173-265
4. Böning C.W., Holland W.R., Bryan F.O., Danabasoglu G., and McWilliams J.C. An overlooked problem in model simulations of the thermohaline circulation and heat transport in the Atlantic Ocean. J. Climate 8 (1995) 515-523
5. Bryan K., and Lewis L.J. A water mass model of the world ocean. J. Geophys. Res. 84 (1979) 2503-2518
6. Bryan K. Accelerating the convergence to equilibrium of ocean-climate models. JPO 14 (1984) 666-673
7. Gent P.R., and Mcwilliams J.C. Isopycnal mixing in ocean circulation models. JPO 20 (1990) 150-155
8. GETECH, 1995. Global DTM5, Geophysical Exploration Technology (GETECH), University of Leeds.
9. Griffies S.M. The Gent-McWilliams skew flux. JPO 28 (1998) 831-841
10. Griffies S.M. Fundamentals of Ocean Climate Models (2005), Princeton University Press, New Jersey
11. Griffies S.M., Pacanowski R.C., Schmidt M., and Balaji V. Tracer conservation with an explicit free surface method for z-coordinate ocean models. Mon. Weather Rev. 129 (2001) 1081-1098
12. Griffies S.M., et al. Developments in ocean climate modelling. Ocean Modell. 2 (2000) 132-192
13. Heikes R., and Randall D.A. Numerical integration of the shallow-water equations on a twisted icosahedral grid. Part I: basic design and results of tests. Mon. Weather Rev. 123 (1995) 1862-1880
14. Heikes R., and Randall D.A. Numerical integration of the shallow-water equations on a twisted icosahedral grid. Part II: a detailed description of the grid and an analysis of numerical accuracy. Mon. Weather Rev. 123 (1995) 1881-1887
15. Hellerman S., and Rosenstein M. Normal monthly wind stress over the world ocean with error estimates. JPO 13 (1983) 1093-1104
16. K-1 model developers, 2004. K-1 coupled GCM (MIROC) Description, K-1 Technical Report No. 1. .
17. Kageyama A., and Sato T. The "Yin-Yang" grid: an overset grid in spherical geometry. Geochem. Geophys. Geosyst. 5 (2004) 1-15
18. Kurihara Y. Numerical integration of the primitive equations on a spherical grid. Mon. Weather Rev. 93 (1965) 399-415
19. Matsuno T. Numerical integration of the primitive equations by a simulated backward difference method. J. Meteorol. Soc. Jpn. 44 (1966) 76-84
20. McGregor J.L. Semi-Lagrangian advection on conformal-cubic grids. Mon. Weather Rev. 124 (1996) 1312-1322
21. Murray R.J. Explicit generation of orthogonal grids for ocean models. J. Comput. Phys. 126 (1996) 251-273
22. Murray R.J., and Reason C.J.C. A curvilinear version of the Bryan-Cox-Semtner ocean models and its representation of the arctic circulation. J. Comput. Phys. 171 (2001) 1-46
23. Purser R.J., and Rančić M.A. Smooth quasi-homogeneous gridding of the sphere. Q.J.R. Meteorol. Soc. 124 (1998) 637-647
24. Racsh P.J. Conservative shape-preserving two-dimensional transport on a spherical reduced grid. Mon. Weather Rev. 122 (1994) 1337-1350
25. Rančić M., Purser R.J., and Mesinger F. A global shallow-water model using an expanded spherical cube: gnomonic versus conormal coordinates. Q.J.R. Meteorol. Soc. 122 (1996) 959-982
26. Ronchi C., Iacono R., and Paolucci P.S. The "cubed sphere": a new method for the solution of partial differential equations in spherical geometry. J. Comput. Phys. 124 (1996) 93-114
27. Ringler T.D., Heikes R.P., and Randall D.A. Modeling the atmospheric general circulation using a spherical geodesic grid: a new class of dynamical cores. Mon. Weather Rev. 128 (2000) 2471-2490
28. Sadourny R., and Morel P. A finite-difference approximation of the primitive equations for a hexagonal grid on a plane. Mon. Weather Rev. 97 (1969) 439-445
29. Sadourny R. Conservative finite-difference approximations of the primitive equations on quasi-uniform spherical grids. Mon. Weather Rev. 100 (1972) 136-144
30. Taylor M., Tribbia J., and Iskandarani M. The spectral element method for the shallow water equations on the sphere. J. Comput. Phys. 130 (1997) 92-108
31. Tomita H., and Satoh M. A new dynamical framework of nonhydrostatic global model using the icosahedral grid. Fluid Dyn. Res. 34 (2004) 357-400
32. Tomita H., Tsugawa M., Satoh M., and Goto K. Shallow water model on a modified icosahedral geodesic grid by using spring dynamics. J. Comp. Phys. 174 (2001) 579-613
33. Wickett M.E., Duffy P.B., and Rodrigue G. A reduced grid for a parallel global ocean general circulation model. Ocean Modell. 2 (2000) 85-107
34. Williamson D.L. Integration of the barotropic vorticity equation on a spherical geodesic grid. Tellus 20 (1968) 642-653