A two-level time-stepping method for layered ocean circulation models: Further development and testing

Journal of Computational Physics

Volumn 206, Issue 2, 2005, Pages 463-504

  Higdon, Robert L ^a  

^a OREGON STATE UNIVERSITY   (United States)

Author keywords

Barotropic baroclinic splitting; Layered ocean circulation models; Timestepping

Indexed keywords

MECHANICAL WAVES; OCEAN CURRENTS;

BAROCLINIC; BAROTROPIC; BAROTROPIC-BAROCLINIC SPLITTING; FAST MOTIONS; FURTHER DEVELOPMENT; LAYERED OCEAN CIRCULATION MODEL; OCEAN CIRCULATION MODELS; SPLITTINGS; TIME STEPPING METHOD; TIME-STEPPING;

TOPOGRAPHY;

EID: 18144404948     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2004.12.011     Document Type: Article

References (18)

1. J.R. Bates An efficient semi-Lagrangian and alternating direction implicit method for integrating the shallow water equations Monthly Weather Rev. 112 1984 2033
2. R. Bleck An oceanic general circulation model framed in hybrid isopycnic-Cartesian coordinates Ocean Modelling 4 2002 55
3. R. Bleck L.T. Smith A wind-driven isopycnic coordinate model of the north and equatorial Atlantic Ocean 1. Model development and supporting experiments J. Geophys. Res. 95C 1990 3273
4. R.A. de Szoeke S.R. Springer A diapycnal diffusion algorithm for isopycnal ocean circulation models with special application to mixed layers Ocean Modelling 5 2003 297
5. J.K. Dukowicz, HYPOP Summary (Hybrid vertical coordinate version of POP) Current C-Grid Version, Technical Report LA-UR-04-8586, Los Alamos National Laboratory, 2004 (unpublished)
6. D.R. Durran Numerical Methods for Wave Equations in Geophysical Fluid Dynamics 1999 Springer New York
7. A.E. Gill Atmosphere-Ocean Dynamics 1982 Academic Press San Diego
8. R. Hallberg Stable split time stepping schemes for large-scale ocean modeling J. Comput. Phys. 135 1997 54
9. R.L. Higdon Implementation of a barotropic-baroclinic time splitting for isopycnic coordinate ocean modeling J. Comput. Phys. 148 1999 579
10. R.L. Higdon A two-level time-stepping method for layered ocean circulation models J. Comput. Phys. 177 2002 59
11. R.L. Higdon R.A. de Szoeke Barotropic-baroclinic time splitting for ocean circulation modeling J. Comput. Phys. 135 1997 30
12. D.M. Holland A. Jenkins Adaptation of an isopycnic coordinate ocean model for the study of circulation beneath ice shelves Monthly Weather Rev. 129 2001 1905
13. J. Pedlosky Geophysical Fluid Dynamics second ed. 1987 Springer New York
14. J. Pedlosky Waves in the Ocean and Atmosphere 2003 Springer Berlin
15. R. Sadourny The dynamics of finite-difference models of the shallow-water equations J. Atmos. Sci. 32 1975 680
16. C. Schär P.K. Smolarkiewicz A synchronous and iterative flux-correction formalism for coupled transport equations J. Comput. Phys. 128 1996 101
17. P.K. Smolarkiewicz L.G. Margolin MPDATA: A finite-difference solver for geophysical flows J. Comput. Phys. 140 1998 459
18. G. Strang On the construction and comparison of difference schemes SIAM J. Numer. Anal. 5 1968 506