This file was created with JabRef 2.2. Encoding: UTF8 @STRING{AP = {Academic Press}} @STRING{AREPS = {Annual Review of Earth Planetary Science}} @STRING{ARFM = {Annual Review of Fluid Mechanics}} @STRING{ASL = {Atmospheric Science Letters}} @STRING{AW = {Addison-Wesley}} @STRING{CD = {Clim. Dyn.}} @STRING{CP = {Clarendon Press}} @STRING{CUP = {Cambridge University Press}} @STRING{D = {Dover Publications}} @STRING{DAO = {Dyn. Atmos. Ocean}} @STRING{DSR = {Deep-Sea Res.}} @STRING{E = {Eyrolles}} @STRING{GRL = {Geophys. Res. Let.}} @STRING{I = {Interscience}} @STRING{JAOT = {J. Atmos. Ocean Tech.}} @STRING{JAS = {J. Atmos. Sc.}} @STRING{JC = {J. Climate}} @STRING{JCP = {J. Comput. Phys.}} @STRING{JGR = {J. Geophys. Res}} @STRING{JHUP = {The Johns Hopkins University Press}} @STRING{JMR = {J. Mar. Res.}} @STRING{JMS = {J. Mar. Sys.}} @STRING{JMSJ = {J. Met. Soc. Japan}} @STRING{JPO = {J. Phys. Oceanogr.}} @STRING{JWS = {John Wiley and Sons}} @STRING{M = {Macmillan}} @STRING{MGH = {McGraw-Hill}} @STRING{MWR = {Mon. Wea. Rev.}} @STRING{Nature = {Nat.}} @STRING{NH = {North-Holland}} @STRING{Ocean = {Oceanology}} @STRING{OS = {Ocean Science}} @STRING{OUP = {Oxford University Press}} @STRING{PH = {Prentice-Hall}} @STRING{PO = {Prog. Oceangr.}} @STRING{PP = {Pergamon Press}} @STRING{PRSL = {Proceedings of the Royal Society of London}} @STRING{QJRMS = {Quart J Roy Meteor Soc}} @STRING{Recherche = {La Recherche}} @STRING{Science = {Science}} @STRING{SV = {Springer-Verlag}} @STRING{Tellus = {Tellus}} @ARTICLE{Adcroft_Campin_OM04, author = {A. Adcroft and J.-M. Campin}, title = {Re-scaled height coordinates for accurate representation of free-surface flows in ocean circulation models}, journal = {Ocean Modelling}, year = {2004}, volume = {7}, owner = {gm}, timestamp = {2008.01.27} } @ARTICLE{Arakawa1966, author = {A. Arakawa}, title = {Computational design for long term numerical integration of the equations of fluid motion, two-dimensional incompressible flow, Part. I.}, journal = JCP, year = {1966}, volume = {I}, pages = {119-149}, owner = {gm}, timestamp = {2007.08.04} } @ARTICLE{Arakawa1990, author = {A. Arakawa and Y.-J. G. Hsu}, title = {Energy Conserving and Potential-Enstrophy Dissipating Schemes for the Shallow Water Equations}, journal = MWR, year = {1990}, volume = {118}, pages = {1960--1969 }, number = {10}, abstract = {To incorporate potential enstrophy dissipation into discrete shallow water equations with no or arbitrarily small energy dissipation, a family of finite-difference schemes have been derived with which potential enstrophy is guaranteed to decrease while energy is conserved (when the mass flux is nondivergent and time is continuous). Among this family of schemes, there is a member that minimizes the spurious impact of infinite potential vorticities associated with infinitesimal fluid depth. The scheme is, therefore, useful for problems in which the free surface may intersect with the lower boundary.}, date = {October 01, 1990}, owner = {gm}, timestamp = {2007.08.05} } @ARTICLE{Arakawa1981, author = {Arakawa, Akio and Lamb, Vivian R.}, title = {A Potential Enstrophy and Energy Conserving Scheme for the Shallow Water Equations}, journal = MWR, year = {1981}, volume = {109}, pages = {18--36 }, number = {1}, abstract = {To improve the simulation of nonlinear aspects of the flow over steep topography, a potential enstrophy and energy conserving scheme for the shallow water equations is derived. It is pointed out that a family of schemes can conserve total energy for general flow and potential enstrophy for flow with no mass flux divergence. The newly derived scheme is a unique member of this family, that conserves both potential enstrophy and energy for general flow. Comparison by means of numerical experiment with a scheme that conserves (potential) enstrophy for purely horizontal nondivergent flow demonstrated the considerable superiority of the newly derived potential enstrophy and energy conserving scheme, not only in suppressing a spurious energy cascade but also in determining the overall flow regime. The potential enstrophy and energy conserving scheme for a spherical grid is also presented.}, date = {January 01, 1981}, owner = {gm}, timestamp = {2007.08.05} } @ARTICLE{Arhan2006, author = {M. Arhan and A.M. Treguier and B. Bourles and S. Michel}, title = {Diagnosing the annual cycle of the Equatorial Undercurrent in the Atlantic Ocean from a general circulation model}, journal = JPO, year = {2006}, volume = { 36}, pages = {1502-1522} } @ARTICLE{ASSELIN1972, author = {R. Asselin}, title = {Frequency Filter for Time Integrations}, journal = MWR, year = {1972}, volume = {100}, pages = {487-490}, number = {6}, abstract = {A simple filter for controlling high-frequency computational and physical modes arising in time integrations is proposed. A linear analysis of the filter with leapfrog, implicit, and semi-implicit, differences is made. The filter very quickly removes the computational mode and is also very useful in damping high-frequency physical waves. The stability of the leapfrog scheme is adversely affected when a large filter parameter is used, but the analysis shows that the use of centered differences with frequency filter is still more advantageous than the use of the Euler-backward method. An example of the use of the filter in an actual forecast with the meteorological equations is shown.}, date = {June 01, 1972}, owner = {gm}, timestamp = {2007.08.03} } @ARTICLE{Barnier_al_OD06, author = {B. Barnier and G. Madec and T. Penduff and J.-M. Molines and A.-M. Treguier and J. Le Sommer and A. Beckmann and A. Biastoch and C. Boning and J. Dengg and C. Derval and E. Durand and S. Gulev and E. Remy and C. Talandier and S. Theetten and M. Maltrud and J. McClean and B. De Cuevas}, title = {Impact of partial steps and momentum advection schemes in a global ocean circulation model at eddy-permitting resolution.}, journal = {Ocean Dyn.}, year = {2006}, pages = {doi: 10.1007/s10236-006-0082-1.}, owner = {gm}, timestamp = {2008.01.25} } @INCOLLECTION{Barnier1996, author = {B. Barnier and P. Marchesiello and A.P. de Miranda}, title = {Modeling the ocean circulation in the South Atlantic: A strategy for dealing with open boundaries}, booktitle = {The South Atlantic: Present and Past Circulation}, publisher = {Springer-Verlag, Berlin}, year = {1996}, editor = {G.Wefer and W.H. Berger and G Siedler and D. Webb}, pages = {289-304} } @ARTICLE{Barnier1998, author = {B. Barnier and P. Marchesiello and A. P. de Miranda and J.M. Molines and M. Coulibaly}, title = {A sigma-coordinate primitive equation model for studying the circulation in the South Atlantic I, Model configuration with error estimates}, journal = {Deep Sea Res.}, year = {1998}, volume = {45}, pages = {543-572} } @ARTICLE{Beckmann1998, author = {A. Beckmann}, title = {The representation of bottom boundary layer processes in numerical ocean circulation models.}, journal = {Ocean modelling and parameterization, E. P. Chassignet and J. Verron (eds.), NATO Science Series, Kluwer Academic Publishers}, year = {1998}, owner = {gm}, timestamp = {2007.08.04} } @ARTICLE{BeckDos1998, author = {A. Beckmann and R. D\"{o}scher}, title = {A method for improved representation of dense water spreading over topography in geopotential-coordinate models}, journal = JPO, year = {1998}, volume = {27}, pages = {581-591}, owner = {gm}, timestamp = {2007.08.04} } @ARTICLE{Beckmann1993, author = {A. Beckmann and D. B. Haidvogel}, title = {Numerical Simulation of Flow around a Tall Isolated Seamount. Part I - Problem Formulation and Model Accuracy}, journal = {Journal of Physical Oceanography}, year = {1993}, volume = {23}, pages = {1736--1753 }, number = {8}, abstract = {A sigma coordinate ocean circulation model is employed to study flow trapped to a tall seamount in a periodic f-plane channel. In Part I, errors arising from the pressure gradient formulation in the steep topography/strong stratification limit are examined. To illustrate the error properties, a linearized adiabatic version of the model is considered, both with and without forcing, and starting from a resting state with level isopycnals. The systematic discretization errors from the horizontal pressure gradient terms are shown analytically to increase with steeper topography (relative to a fixed horizontal grid) and for stronger stratification (as measured by the Burger number). For an initially quiescent unforced ocean, the pressure gradient errors produce a spurious oscillating current that, at the end of 10 days, is approximately 1 cm s−1 in amplitude. The period of the spurious oscillation (about 0.5 days) is shown to be a consequence of the particular form of the pressure gradient terms in the sigma coordinate system. With the addition of an alongchannel diurnal forcing, resonantly generated seamount-trapped waves are observed to form. Error levels in these solutions are less than those in the unforced cases; spurious time-mean currents are several orders of magnitude less in amplitude than the resonant propagating waves. However, numerical instability is encountered in a wider range of parameter space. The properties of these resonantly generated waves is explored in detail in Part II of this study. Several new formulations of the pressure gradient terms are tested. Two of the formulations—constructed to have additional conservation properties relative to the traditional form of the pressure gradient terms (conservation of JEBAR and conservation of energy)—are found to have error properties generally similar to those of the traditional formulation. A corrected gradient algorithm, based upon vertical interpolation of the pressure field, has a dramatically reduced error level but a much more restrictive range of stable behavior.}, date = {August 01, 1993}, owner = {gm}, timestamp = {2007.08.03} } @ARTICLE{Blanke_al_JPO99, author = {B. Blanke and M. Arhan and G. Madec and S. Roche}, title = {Warm Water Paths in the Equatorial Atlantic as Diagnosed with a General Circulation Model}, journal = JPO, year = {1999}, volume = {29, 11}, pages = {2753-2768}, owner = {gm}, timestamp = {2008.05.27} } @ARTICLE{Blanke1993, author = {B. Blanke and P. Delecluse}, title = {Low frequency variability of the tropical Atlantic ocean simulated by a general circulation model with mixed layer physics}, journal = JPO, year = {1993}, volume = {23}, pages = {1363-1388} } @ARTICLE{blanketal97, author = {B. Blanke and J. D. Neelin and D. Gutzler}, title = {Estimating the effect of stochastic wind forcing on ENSO irregularity}, journal = JC, year = {1997}, volume = {10}, pages = {1473-1486}, abstract = {One open question in El Nin˜o–Southern Oscillation (ENSO) simulation and predictability is the role of random forcing by atmospheric variability with short correlation times, on coupled variability with interannual timescales. The discussion of this question requires a quantitative assessment of the stochastic component of the wind stress forcing. Self-consistent estimates of this noise (the stochastic forcing) can be made quite naturally in an empirical atmospheric model that uses a statistical estimate of the relationship between sea surface temperature (SST) and wind stress anomaly patterns as the deterministic feedback between the ocean and the atmosphere. The authors use such an empirical model as the atmospheric component of a hybrid coupled model, coupled to the GFDL ocean general circulation model. The authors define as residual the fraction of the Florida State University wind stress not explained by the empirical atmosphere run from observed SST, and a noise product is constructed by random picks among monthly maps of this residual. The impact of included or excluded noise is assessed with several ensembles of simulations. The model is run in coupled regimes where, in the absence of noise, it is perfectly periodic: in the presence of prescribed seasonal variability, the model is strongly frequency locked on a 2-yr period; in annual average conditions it has a somewhat longer inherent ENSO period (30 months). Addition of noise brings an irregular behavior that is considerably richer in spatial patterns as well as in temporal structures. The broadening of the model ENSO spectral peak is roughly comparable to observed. The tendency to frequency lock to subharmonic resonances of the seasonal cycle tends to increase the broadening and to emphasize lower frequencies. An inclination to phase lock to preferred seasons persists even in the presence of noise-induced irregularity. Natural uncoupled atmospheric variability is thus a strong candidate for explaining the observed aperiodicity in ENSO time series. Model–model hindcast experiments also suggest the importance of atmospheric noise in setting limits to ENSO predictability.}, pdf = {Blanke_etal_JC97.pdf} } @ARTICLE{Blanke_Raynaud_JPO97, author = {B. Blanke and S. Raynaud}, title = {Kinematics of the Pacific Equatorial Undercurrent: An Eulerian and Lagrangian Approach from GCM Results}, journal = JPO, year = {1997}, volume = {27, 6}, pages = {1038-1053}, owner = {gm}, timestamp = {2008.05.27} } @ARTICLE{Blayo2005, author = {E. Blayo and L. Debreu}, title = {Revisiting open boundary conditions from the point of view of characteristic variables}, journal = {Ocean Modelling}, year = {2005}, volume = {9}, pages = {231-252} } @ARTICLE{Bougeault1989, author = {P. Bougeault and P. Lacarrere}, title = {Parameterization of Orography-Induced Turbulence in a Mesobeta--Scale Model}, journal = MWR, year = {1989}, volume = {117}, pages = {1872-1890}, number = {8}, abstract = {The possibility of extending existing techniques for turbulence parameterization in the planetary boundary layer to attitude, orography-induced turbulence events is examined. Starting from a well-tested scheme, we show that it is possible to generalize the specification method of the length scales, with no deterioration of the scheme performance in the boundary layer. The new scheme is implemented in a two-dimensional version of a limited-area, numerical model used for the simulation of mesobeta-scale atmospheric flows. Three well-known cases of orographically induced turbulence are studied. The comparison with observations and former studies shows a satisfactory behavior of the new scheme.}, date = {August 01, 1989}, owner = {gm}, timestamp = {2007.08.06} } @ARTICLE{Brown1978, author = {J. A. Brown and K. A. Campana}, title = {An Economical Time-Differencing System for Numerical Weather Prediction}, journal = MWR, year = {1978}, volume = {106}, pages = {1125-1136}, number = {8}, month = aug, abstract = {A simple method for integrating the primitive equations is presented which allows for a timestep increment up to twice that of the conventional leapfrog scheme. It consists of a time-averaging operator, which incorporates three consecutive time levels, on the pressure gradient terms in the equations of motion. An attractive feature of the method is its case in programming, since the resulting finite-difference equations can he solved explicitly.Presented here are linear analyses of the method applied to the barotropic and two-layer baroclinic gravity waves. Also presented is an analysis of the method with a time-damping device incorporated, which is an alternative in controlling linearly amplifying computational modes.}, owner = {gm}, timestamp = {2007.08.05} } @ARTICLE{Bryan1997, author = {K. Bryan}, title = {A Numerical Method for the Study of the Circulation of the World Ocean}, journal = JCP, year = {1997}, volume = {135, 2}, owner = {gm}, timestamp = {2007.08.10} } @ARTICLE{Bryan1984, author = {K. Bryan}, title = {Accelerating the convergence to equilibrium of ocean-climate models}, journal = JPO, year = {1984}, volume = {14}, owner = {gm}, timestamp = {2007.08.10} } @ARTICLE{Bryden1973, author = {H. L. Bryden}, title = {New polynomials for thermal expansion, adiabatic temperature gradient and potential temperature of sea water}, journal = DSR, year = {1973}, volume = {20}, pages = {401-408}, owner = {gm}, timestamp = {2007.08.04} } @ARTICLE{Campin2004, author = {J.-M. Campin and A. Adcroft and C. Hill and J. Marshall}, title = {Conservation of properties in a free-surface model}, journal = {Ocean Modelling}, year = {2004}, volume = {6, 3-4}, pages = {221-244}, owner = {gm}, timestamp = {2007.08.04} } @ARTICLE{Campin_Goosse_Tel99, author = {J. M. Campin and H. Goosse}, title = {Parameterization of density-driven downsloping flow for a coarse-resolution ocean model in z-coordinate}, journal = {Tellus}, year = {1999}, volume = {51}, pages = {412-430}, owner = {gm}, timestamp = {2008.01.20} } @ARTICLE{Cox1987, author = {M. Cox}, title = {Isopycnal diffusion in a z-coordinate ocean model}, journal = {Ocean Modelling}, year = {1987}, volume = {74}, pages = {1-9}, owner = {gm}, timestamp = {2007.08.03} } @ARTICLE{Dorscher_Beckmann_JAOT00, author = {R. D\"{o}scher and A. Beckmann}, title = {Effects of a Bottom Boundary Layer Parameterization in a Coarse-Resolution Model of the North Atlantic Ocean}, journal = JAOT, year = {2000}, volume = {17}, pages = {698-707}, owner = {gm}, timestamp = {2008.01.23} } @ARTICLE{Debreu_al_CG2008, author = {L. Debreu and C. Vouland and E. Blayo}, title = {AGRIF: Adaptive Grid Refinement In Fortran}, journal = {Computers and Geosciences}, year = {2008}, volume = {34}, pages = {8-13}, owner = {gm}, timestamp = {2008.02.03} } @ARTICLE{Delecluse_Madec_Bk00, author = {P. Delecluse and G. Madec}, title = {Ocean modelling and the role of the ocean in the climate system}, journal = {In \textit{Modeling the Earth's Climate and its Variability}, Les Houches, Session, LXVII 1997, Eds. W. R. Holland, S. Joussaume and F. David, Elsevier Science,}, year = {2000}, pages = {237-313}, owner = {gm}, timestamp = {2008.02.03} } @ARTICLE{Dukowicz1994, author = {J. K. Dukowicz and R. D. Smith}, title = {Implicit free-surface method for the Bryan-Cox-Semtner ocean model}, journal = JGR, year = {1994}, volume = {99}, pages = {7991-8014}, owner = {gm}, timestamp = {2007.08.03} } @INCOLLECTION{Durran2001, author = {D.R. Durran }, title = {Open boundary conditions: fact and fiction}, booktitle = {Advances in Mathematical Modelling of Atmosphere and Ocean Dynamics}, publisher = {Kluwer Academic Publishers}, year = {2001}, editor = {P.F. Hodnett} } @ARTICLE{Dutay.J.C2004, author = {J. -C. Dutay and P. J. -Baptiste and J. -M. Campin and A. Ishida and E. M. -Reimer and R. J. Matear and A. Mouchet and I. J. Totterdell and Y. Yamanaka and K. Rodgers and G. Madec and J.C. Orr}, title = {Evaluation of OCMIP-2 ocean models’ deep circulation with mantle helium-3}, journal = {Journal of Marine Systems}, year = {2004}, pages = {1-22}, abstract = {We compare simulations of the injection of mantle helium-3 into the deep ocean from six global coarse resolution models which participated in the Ocean Carbon Model Intercomparison Project (OCMIP). We also discuss the results of a study carried out with one of the models, which examines the effect of the subgrid-scale mixing parameterization. These sensitivity tests provide useful information to interpret the differences among the OCMIP models and between model simulations and the data. We find that the OCMIP models, which parameterize subgrid-scale mixing using an eddy-induced velocity, tend to underestimate the ventilation of the deep ocean, based on diagnostics with d3He. In these models, this parameterization is implemented with a constant thickness diffusivity coefficient. In future simulations, we recommend using such a parameterization with spatially and temporally varying coefficients in order to moderate its effect on stratification. The performance of the models with regard to the formation of AABW confirms the conclusion from a previous evaluation with CFC-11. Models coupled with a sea-ice model produce a substantial bottom water formation in the Southern Ocean that tends to overestimate AABW ventilation, while models that are not coupled with a sea-ice model systematically underestimate the formation of AABW. We also analyze specific features of the deep 3He distribution (3He plumes) that are particularly well depicted in the data and which put severe constraints on the deep circulation. We show that all the models fail to reproduce a correct propagation of these plumes in the deep ocean. The resolution of the models may be too coarse to reproduce the strong and narrow currents in the deep ocean, and the models do not incorporate the geothermal heating that may also contribute to the generation of these currents. We also use the context of OCMIP-2 to explore the potential of mantle helium-3 as a tool to compare and evaluate modeled deep-ocean circulations. Although the source function of mantle helium is known with a rather large uncertainty, we find that the parameterization used for the injection of mantle helium-3 is sufficient to generate realistic results, even in the Atlantic Ocean where a previous pioneering study [J. Geophys. Res. 100 (1995) 3829] claimed this parameterization generates inadequate results. These results are supported by a multi-tracer evaluation performed by considering the simulated distributions of both helium-3 and natural 14C, and comparing the simulated tracer fields with available data.}, owner = {sandra}, pdf = {Dutay_etal_OCMIP_JMS04.pdf}, timestamp = {2006.10.17} } @ARTICLE{Eiseman1980, author = {P. R. Eiseman and A. P. Stone}, title = {Conservation lows of fluid dynamics -- A survey}, journal = {SIAM Review}, year = {1980}, volume = {22}, pages = {12-27}, owner = {gm}, timestamp = {2007.08.03} } @ARTICLE{Emile-Geay_Madec_OSD08, author = {J. Emile-Geay and G. Madec}, title = {Geothermal heating, diapycnal mixing and the abyssal circulation}, journal = {Ocean Sci. Discuss.}, year = {2008}, volume = {5}, pages = {281-325}, owner = {gm}, timestamp = {2008.07.16} } @PHDTHESIS{Farge1987, author = {M. Farge}, title = {Dynamique non lineaire des ondes et des tourbillons dans les equations de Saint Venant}, school = {Doctorat es Mathematiques, Paris VI University, 401 pp.}, year = {1987}, owner = {gm}, timestamp = {2007.08.03} } @ARTICLE{Farrow1995, author = {D. E. Farrow and D. P. Stevens}, title = {A new tracer advection scheme for Bryan--Cox type ocean general circulation models}, journal = JPO, year = {1995}, volume = {25}, pages = {1731-1741.}, owner = {gm}, timestamp = {2007.08.04} } @ARTICLE{Fujio1991, author = {S. Fujio and N. Imasato}, title = {Diagnostic calculation for circulation and water mass movement in the deep Pacific}, journal = JGR, year = {1991}, volume = {96}, pages = {759-774}, month = jan, owner = {gm}, timestamp = {2007.08.04} } @ARTICLE{Gargett1984, author = {A. E. Gargett}, title = {Vertical eddy diffusivity in the ocean interior}, journal = JMR, year = {1984}, volume = {42}, owner = {gm}, timestamp = {2007.08.06} } @ARTICLE{Gaspar1990, author = {P. Gaspar and Y. Gr{\'e}goris and J.-M. Lefevre}, title = {A simple eddy kinetic energy model for simulations of the oceanic vertical mixing\: Tests at Station Papa and long-term upper ocean study site}, journal = JGR, year = {1990}, volume = {95(C9)}, owner = {gm}, timestamp = {2007.08.06} } @ARTICLE{Gent1990, author = {P. R. Gent and J. C. Mcwilliams}, title = {Isopycnal Mixing in Ocean Circulation Models}, journal = JPO, year = {1990}, volume = {20}, pages = {150-155}, number = {1}, abstract = {A subgrid-scale form for mesoscale eddy mixing on isopycnal surfaces is proposed for use in non-eddy-resolving ocean circulation models. The mixing is applied in isopycnal coordinates to isopycnal layer thickness, or inverse density gradient, as well as to passive scalars, temperature and salinity. The transformation of these mixing forms to physical coordinates is also presented.}, date = {January 01, 1990}, owner = {gm}, timestamp = {2007.08.03} } @ARTICLE{Gerdes1993a, author = {R. Gerdes}, title = {A primitive equation ocean circulation model using a general vertical coordinate transformation 1. Description and testing of the model}, journal = JGR, year = {1993}, volume = {98}, owner = {gm}, timestamp = {2007.08.03} } @ARTICLE{Gerdes1993b, author = {R. Gerdes}, title = {A primitive equation ocean circulation model using a general vertical coordinate transformation 2. Application to an overflow problem}, journal = JGR, year = {1993}, volume = {98}, pages = {14703-14726}, owner = {gm}, timestamp = {2007.08.03} } @TECHREPORT{Gibson_TR86, author = {J. K. Gibson}, title = {Standard software development and maintenance}, institution = {Operational Dep., ECMWF, Reading, UK.}, year = {1986}, owner = {gm}, timestamp = {2008.02.03} } @BOOK{Gill1982, title = {Atmosphere-Ocean Dynamics}, publisher = {International Geophysics Series, Academic Press, New-York}, year = {1982}, author = {A. E. Gill} } @ARTICLE{Goosse_al_JGR99, author = {H. Goosse and E. Deleersnijder and T. Fichefet and M. England}, title = {Sensitivity of a global coupled ocean-sea ice model to the parameterization of vertical mixing}, journal = JGR, year = {1999}, volume = {104}, pages = {13,681-13,695}, owner = {gm}, timestamp = {2008.05.27} } @ARTICLE{Griffes2005, author = {S. M. Griffes and A. Gnanadesikan and K. W. Dixon and J. P. Dunne and R. Gerdes and M. J. Harrison and A. Rosati and J. L. Russell and B. L. Samuels and M. J. Spelman and M. Winton and R. Zhang}, title = {Formulation of an ocean model for global climate simulations}, journal = OS, year = {2005}, pages = {165–246}, abstract = {This paper summarizes the formulation of the ocean component to the Geophysical Fluid Dynamics Laboratory’s (GFDL) coupled climate model used for the 4th IPCC As- Assessment (AR4) of global climate change. In particular, it reviews elements of ocean sessment climate models and how they are pieced together for use in a state-of-the-art coupled 5 model. Novel issues are also highlighted, with particular attention given to sensitivity of the coupled simulation to physical parameterizations and numerical methods. Features of the model described here include the following: (1) tripolar grid to resolve the Arctic Ocean without polar filtering, (2) partial bottom step representation of topography to better represent topographically influenced advective and wave processes, (3) more 10 accurate equation of state, (4) three-dimensional flux limited tracer advection to reduce overshoots and undershoots, (5) incorporation of regional climatological variability in shortwave penetration, (6) neutral physics parameterization for representation of the pathways of tracer transport, (7) staggered time stepping for tracer conservation and numerical eciency, (8) anisotropic horizontal viscosities for representation of equato- 15 rial currents, (9) parameterization of exchange with marginal seas, (10) incorporation of a free surface that accomodates a dynamic ice model and wave propagation, (11) transport of water across the ocean free surface to eliminate unphysical “virtual tracer flux” methods, (12) parameterization of tidal mixing on continental shelves.}, owner = {sandra}, pdf = {Griffies_al_OSD05.pdf}, timestamp = {2007.01.25} } @BOOK{Griffies2004, title = {Fundamentals of ocean climate models}, publisher = {Princeton University Press, 434pp}, year = {2004}, author = {S. M. Griffies}, owner = {gm}, timestamp = {2007.08.05} } @ARTICLE{Griffies_JPO98, author = {S. M. Griffies}, title = {The Gent-McWilliams skew-flux}, journal = JPO, year = {1998}, volume = {28}, pages = {831–841}, owner = {gm}, timestamp = {2008.06.28} } @ARTICLE{Griffies1998, author = {S. M. Griffies and A. Gnanadesikan and R. C. Pacanowski and V. D. Larichev and J. K. Dukowicz and R. D. Smith}, title = {Isoneutral Diffusion in a z-Coordinate Ocean Model}, journal = JPO, year = {1998}, volume = {28}, pages = {805-830}, number = {5}, abstract = {This paper considers the requirements that must be satisfied in order to provide a stable and physically based isoneutral tracer diffusion scheme in a z-coordinate ocean model. Two properties are emphasized: 1) downgradient orientation of the diffusive fluxes along the neutral directions and 2) zero isoneutral diffusive flux of locally referenced potential density. It is shown that the Cox diffusion scheme does not respect either of these properties, which provides an explanation for the necessity to add a nontrivial background horizontal diffusion to that scheme. A new isoneutral diffusion scheme is proposed that aims to satisfy the stated properties and is found to require no horizontal background diffusion.}, date = {May 01, 1998}, owner = {gm}, timestamp = {2007.08.05} } @ARTICLE{Griffies2001, author = {S. M. Griffies and R. C. Pacanowski and M. Schmidt and V. Balaji}, title = {Tracer Conservation with an Explicit Free Surface Method for z-Coordinate Ocean Models}, journal = MWR, year = {2001}, volume = {129}, pages = {1081-1098}, number = {5}, abstract = {This paper details a free surface method using an explicit time stepping scheme for use in z-coordinate ocean models. One key property that makes the method especially suitable for climate simulations is its very stable numerical time stepping scheme, which allows for the use of a long density time step, as commonly employed with coarse-resolution rigid-lid models. Additionally, the effects of the undulating free surface height are directly incorporated into the baroclinic momentum and tracer equations. The novel issues related to local and global tracer conservation when allowing for the top cell to undulate are the focus of this work. The method presented here is quasi-conservative locally and globally of tracer when the baroclinic and tracer time steps are equal. Important issues relevant for using this method in regional as well as large-scale climate models are discussed and illustrated, and examples of scaling achieved on parallel computers provided.}, date = {May 01, 2001}, owner = {gm}, timestamp = {2007.08.04} } @ARTICLE{Guily2001, author = {E. Guilyardi and G. Madec and L. Terray}, title = {The role of lateral ocean physics in the upper ocean thermal balance of a coupled ocean-atmosphere GCM}, journal = CD, year = {2001}, volume = {17}, pages = {589-599}, number = {8}, pdf = {/home/ericg/TeX/Papers/Published_pdfs/Guilyardi_al_CD01.pdf} } @ARTICLE{Guyon_al_EP99, author = {M. Guyon and G. Madec and F.-X. Roux and M. Imbard}, title = {A Parallel ocean model for high resolution studies}, journal = {Lecture Notes in Computer Science}, year = {1999}, volume = {Euro-Par'99}, pages = {603-607}, owner = {gm}, timestamp = {2008.05.27} } @ARTICLE{Guyon_al_CalPar99, author = {M. Guyon and G. Madec and F.-X. Roux and M. Imbard and C. Herbaut and P. Fronier}, title = {Parallelization of the OPA ocean model}, journal = {Calculateurs Paralleles}, year = {1999}, volume = {11, 4}, pages = {499-517}, owner = {gm}, timestamp = {2008.05.27} } @BOOK{Haltiner1980, title = {Numerical prediction and dynamic meteorology}, publisher = {John Wiley {\&} Sons Eds., second edition, 477pp}, year = {1980}, author = {G. J. Haltiner and R. T. Williams}, owner = {gm}, timestamp = {2007.08.03} } @ARTICLE{Haney1991, author = {R. L. Haney}, title = {On the Pressure Gradient Force over Steep Topography in Sigma Coordinate Ocean Models}, journal = JPO, year = {1991}, volume = {21}, pages = {610--619 }, number = {4}, abstract = {The error in computing the pressure gradient force near steep topography using terms following (σ) coordinates is investigated in an ocean model using the family of vertical differencing schemes proposed by Arakawa and Suarez. The truncation error is estimated by substituting known buoyancy profiles into the finite difference hydrostatic and pressure gradient terms. The error due to “hydrostatic inconsistency,” which is not simply a space truncation error, is also documented. The results show that the pressure gradient error is spread throughout the water column, and it is sensitive to the vertical resolution and to the placement of the grid points relative to the vertical structure of the buoyancy field being modeled. Removing a reference state, as suggested for the atmosphere by Gary, reduces the truncation error associated with the two lowest vertical modes by a factor of 2 to 3. As an example, the error in computing the pressure gradient using a standard 10-level primitive equation model applied to buoyancy profiles and topographic slopes typical of the California Current region corresponds to a false geostrophic current of the order of 10–12 cm s−1. The analogous error in a hydrostatically consistent 30-level model with the reference state removed is about an order of magnitude smaller.}, date = {April 01, 1991}, owner = {gm}, timestamp = {2007.08.03} } @ARTICLE{Hsu1990, author = {Hsu, Yueh-Jiuan G. and Arakawa, Akio}, title = {Numerical Modeling of the Atmosphere with an Isentropic Vertical Coordinate}, journal = MWR, year = {1990}, volume = {118}, pages = {1933--1959 }, number = {10}, abstract = {In constructing a numerical model of the atmosphere, we must choose an appropriate vertical coordinate. Among the various possibilities, isentropic vertical coordinates such as the θ-coordinate seem to have the greatest potential, in spite of the technical difficulties in treating the intersections of coordinate surfaces with the lower boundary. The purpose of this paper is to describe the θ-coordinate model we have developed and to demonstrate its potential through simulating the nonlinear evolution of a baroclinic wave.In the model we have developed, vertical discretization maintains important integral constraints, such as conservation of the angular momentum and total energy. In treating the intersections of coordinate surfaces with the lower boundary, we have followed the massless-layer approach in which the intersecting coordinate surfaces are extended along the boundary by introducing massless layers. Although this approach formally eliminates the intersection problem, it raises other computational problems. Horizontal discretization of the continuity and momentum equations in the model has been carefully designed to overcome these problems.Selected results from a 10-day integration with the 25-layer, β-plane version of the model are presented. It seems that the model can simulate the nonlinear evolution of a baroclinic wave and associated dynamical processes without major computational difficulties.}, date = {October 01, 1990}, owner = {gm}, timestamp = {2007.08.05} } @ARTICLE{JackMcD1995, author = {D. R. Jackett and T. J. McDougall}, title = {Minimal adjustment of hydrographic data to achieve static stability}, journal = JAOT, year = {1995}, volume = {12}, pages = {381-389}, owner = {gm}, timestamp = {2007.08.04} } @BOOK{Jerlov1968, title = {Optical Oceanography}, publisher = {194pp}, year = {1968}, author = {N. G. Jerlov}, owner = {gm}, timestamp = {2007.08.04} } @BOOK{Jerlov_Bk1968, publisher = {Elsevier}, year = {1968}, author = {N. G. Jerlov}, pages = {194pp}, owner = {gm}, timestamp = {2008.08.31} } @INPROCEEDINGS{Killworth1989, author = {P. D. Killworth}, title = {On the parameterization of deep convection in ocean models}, booktitle = {Parameterization of small-scale processes}, year = {1989}, editor = {Hawaiian winter workshop}, month = {January 17-20}, organization = {University of Hawaii at Manoa}, owner = {gm}, timestamp = {2007.08.06} } @ARTICLE{Killworth1992, author = {P. D. Killworth}, title = {An equivalent-barotropic mode in the fine resolution Antarctic model}, journal = JPO, year = {1992}, volume = {22}, pages = {1379-1387} } @ARTICLE{Killworth1991, author = {Killworth, P. D. and Stainforth, D. and Webb, D. J. and Paterson, S. M.}, title = {The Development of a Free-Surface Bryan-Cox-Semtner Ocean Model}, journal = JPO, year = {1991}, volume = {21}, pages = {1333--1348}, number = {9}, abstract = {A version of the Bryan–Cox–Semtner numerical ocean general circulation model, adapted to include a free surface, is described. The model is designed for the following uses: tidal studies (a tidal option is explicitly included); assimilation of altimetric data (since the surface elevation is now a prognostic variable); and in situations where accurate relaxation to obtain the streamfunction in the original model is too time consuming. Comparison is made between a 300-year run of the original model and the free-surface version, using a very coarse North Atlantic calculation as the basis. The results are very similar, differing only in the streamfunction over topography; this is to be expected, since the treatment of topographic torques on the barotropic flow differs because of the nature of the modifications.}, date = {September 01, 1991}, owner = {gm}, timestamp = {2007.08.03} } @ARTICLE{Kolmogorov1942, author = {A. N. Kolmogorov}, title = {The equation of turbulent motion in an incompressible fluid}, journal = {Izv. Akad. Nauk SSSR, Ser. Fiz.}, year = {1942}, volume = {6}, pages = {56-58}, owner = {gm}, timestamp = {2007.08.06} } @PHDTHESIS{Levy1996, author = {M. L\'{e}vy}, title = {Mod\'{e}lisation des processus biog\'{e}ochimiques en M\'{e}diterran\'{e}e nord-occidentale. Cycle saisonnier et variabilit\'{e} m\'{e}so\'{e}chelle}, school = {Universit\'{e} Pierre et Marie Curie, Paris, France, 207pp}, year = {1996}, owner = {gm}, timestamp = {2007.08.04} } @ARTICLE{Levy2001, author = {M. L\'{e}vy and A. Estubier and G Madec}, title = {Choice of an advection scheme for biogeochemical models}, journal = GRL, year = {2001}, volume = {28}, owner = {gm}, timestamp = {2007.08.04} } @ARTICLE{Levy1998, author = {M. L\'{e}vy and L. M\'{e}mery and G. Madec}, title = {The onset of a bloom after deep winter convection in the Northwestern Mediterranean Sea: mesoscale process study with a primitive equation model}, journal = JMS, year = {1998}, volume = {16/1-2}, owner = {gm}, timestamp = {2007.08.10} } @BOOK{LargeYeager2004, title = {Diurnal to decadal global forcing for ocean and sea-ice models: the data sets and flux climatologies}, publisher = {NCAR Technical Note, NCAR/TN-460+STR, CGD Division of the National Center for Atmospheric Research}, year = {2004}, author = {W. Large and S. Yeager}, owner = {gm}, timestamp = {2007.08.06} } @ARTICLE{Large_al_RG94, author = {W. G. Large and J. C. McWilliams and S. C. Doney}, title = {Oceanic vertical mixing - a review and a model with a nonlocal boundary layer parameterization}, journal = {Reviews of Geophysics}, year = {1994}, volume = {32}, pages = {363-404}, doi = {10.1029/94RG01872}, owner = {gm}, timestamp = {2007.08.03} } @PHDTHESIS{Lazar1997, author = {A. Lazar}, title = {La branche froide de la circulation thermohaline - sensibilit\'{e} \`{a} la diffusion turbulente dans un mod\`{e}le de circulation g\'{e}n\'{e}rale id\'{e}alis\'{e}e}, school = {Universit\'{e} Pierre et Marie Curie, Paris, France, 200pp}, year = {1997}, owner = {gm}, timestamp = {2007.08.06} } @ARTICLE{Lazar1999, author = {A. Lazar and G. Madec and P. Delecluse}, title = {The Deep Interior Downwelling, the Veronis Effect, and Mesoscale Tracer Transport Parameterizations in an OGCM}, journal = JPO, year = {1999}, volume = {29}, pages = {2945-2961}, number = {11}, abstract = {Numerous numerical simulations of basin-scale ocean circulation display a vast interior downwelling and a companion intense western boundary layer upwelling at midlatitude below the thermocline. These features, related to the so-called Veronis effect, are poorly rationalized and depart strongly from the classical vision of the deep circulation where upwelling is considered to occur in the interior. Furthermore, they significantly alter results of ocean general circulation models (OGCMs) using horizontal Laplacian diffusion. Recently, some studies showed that the parameterization for mesoscale eddy effects formulated by Gent and McWilliams allows integral quantities like the streamfunction and meridional heat transport to be free of these undesired effects. In this paper, an idealized OGCM is used to validate an analytical rationalization of the processes at work and help understand the physics. The results show that the features associated with the Veronis effect can be related quantitatively to three different width scales that characterize the baroclinic structure of the deep western boundary current. In addition, since one of these scales may be smaller than the Munk barotropic layer, usually considered to determine the minimum resolution and horizontal viscosity for numerical models, the authors recommend that it be taken into account. Regarding the introduction of the new parameterization, diagnostics in terms of heat balances underline some interesting similarities between local heat fluxes by eddy-induced velocities and horizontal diffusion at low and midlatitudes when a common large diffusivity (here 2000 m2 s−1) is used. The near-quasigeostrophic character of the flow explains these results. As a consequence, the response of the Eulerian-mean circulation is locally similar for runs using either of the two parameterizations. However, it is shown that the advective nature of the eddy-induced heat fluxes results in a very different effective circulation, which is the one felt by tracers.}, date = {November 01, 1999}, owner = {gm}, timestamp = {2007.08.06} } @ARTICLE{Lengaigne_al_JGR03, author = {M. Lengaigne and G. Madec and G. Alory and C. Menkes}, title = {Sensitivity of the tropical Pacific Ocean to isopycnal diffusion on tracer and dynamics}, journal = JGR, year = {2003}, volume = {108 (C11)}, pages = {3345, doi:10.1029/2002JC001704}, owner = {gm}, timestamp = {2008.01.26} } @ARTICLE{Leonard1991, author = {B. P. Leonard}, title = {The ULTIMATE conservative difference scheme applied to unsteady one--dimensional advection}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = {1991}, pages = {17-74}, owner = {gm}, timestamp = {2007.08.04} } @TECHREPORT{Leonard1988, author = {B. P. Leonard}, title = {Universal limiter for transient interpolation modelling of the advective transport equations}, institution = {Technical Memorandum TM-100916 ICOMP-88-11, NASA}, year = {1988}, owner = {gm}, timestamp = {2007.08.04} } @ARTICLE{Leonard1979, author = {B. P. Leonard}, title = {A stable and accurate convective modelling procedure based on quadratic upstream interpolation}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = {1979}, volume = {19}, pages = {59-98}, month = jun, owner = {gm}, timestamp = {2007.08.04} } @TECHREPORT{Levier2007, author = {B. Levier and A.-M. Tr\'{e}guier and G. Madec and V. Garnier}, title = {Free surface and variable volume in the NEMO code}, institution = {MERSEA MERSEA IP report WP09-CNRS-STR-03-1A, 47pp, available on the NEMO web site}, year = {2007}, owner = {gm}, timestamp = {2007.08.03} } @BOOK{levitus82, title = {Climatological Atlas of the world ocean}, publisher = {NOAA professional paper No. 13, 174pp}, year = {1982}, author = {S Levitus }, note = {173 p.} } @TECHREPORT{Lott1989, author = {F. Lott and G. Madec}, title = {Implementation of bottom topography in the Ocean General Circulation Model OPA of the LODYC: formalism and experiments.}, institution = {LODYC, France, 36pp.}, year = {1989}, number = {3}, owner = {gm}, timestamp = {2007.08.03} } @ARTICLE{Lott1990, author = {F. Lott and G. Madec and J. Verron}, title = {Topographic experiments in an Ocean General Circulation Model}, journal = {Ocean Modelling}, year = {1990}, volume = {88}, pages = {1-4}, owner = {gm}, timestamp = {2007.08.03} } @BOOK{Madec_Bk08, title = {NEMO ocean engine}, publisher = {Note du P\^ole de mod\'{e}lisation, Institut Pierre- Simon Laplace (IPSL), France, No 27, ISSN No 1288-1619}, year = {2008}, author = {G. Madec}, owner = {gm}, timestamp = {2008.07.05} } @PHDTHESIS{Madec1990, author = {G. Madec}, title = {La formation d'eau profonde et son impact sur la circulation r\'{e}gionale en M\'{e}diterran\'{e}e Occidentale - une approche num\'{e}rique}, school = {Universit\'{e}Pierre et Marie Curie, Paris, France, 194pp.}, year = {1990}, owner = {gm}, timestamp = {2007.08.10} } @ARTICLE{Madec1991a, author = {G. Madec and M. Chartier and M. Cr\'{e}pon}, title = {Effect of thermohaline forcing variability on deep water formation in the Northwestern Mediterranean Sea - a high resulution three-dimensional study}, journal = DAO, year = {1991}, owner = {gm}, timestamp = {2007.08.06} } @ARTICLE{Madec1991b, author = {G. Madec and M. Chartier and P. Delecluse and M. Cr\'{e}pon}, title = {A three-dimensional numerical study of deep water formation in the Northwestern Mediterranean Sea .}, journal = JPO, year = {1991}, volume = {21}, owner = {gm}, timestamp = {2007.08.06} } @INBOOK{Madec1991c, chapter = {Thermohaline-driven deep water formation in the Northwestern Mediterranean Sea}, title = {Deep convection and deep water formation in the oceans}, publisher = {Elsevier Oceanographic Series}, year = {1991}, author = {G. Madec and M. Cr\'{e}pon}, owner = {gm}, timestamp = {2007.08.06} } @ARTICLE{Madec1997, author = {G. Madec and P. Delecluse}, title = {The OPA/ARPEGE and OPA/LMD Global Ocean-Atmosphere Coupled Model}, journal = {Int. WOCE Newsletter}, year = {1997}, volume = {26}, pages = {12-15}, owner = {gm}, timestamp = {2007.08.06} } @TECHREPORT{Madec1998, author = {G. Madec and P. Delecluse and M. Imbard and C. Levy}, title = {OPA 8 Ocean General Circulation Model - Reference Manual}, institution = {LODYC/IPSL Note 11}, year = {1998} } @ARTICLE{MadecImb1996, author = {G Madec and M Imbard}, title = {A global ocean mesh to overcome the north pole singularity}, journal = CD, year = {1996}, volume = {12}, pages = {381-388} } @ARTICLE{Madec1996, author = {G. Madec and F. Lott and P. Delecluse and M. Cr\'{e}pon}, title = {Large-Scale Preconditioning of Deep-Water Formation in the Northwestern Mediterranean Sea}, journal = JPO, year = {1996}, volume = {26}, pages = {1393-1408}, number = {8}, month = aug, abstract = {The large-scale processes preconditioning the winter deep-water formation in the northwestern Mediterranean Sea are investigated with a primitive equation numerical model where convection is parameterized by a non-penetrative convective adjustment algorithm. The ocean is forced by momentum and buoyancy fluxes that have the gross features of mean winter forcing found in the MEDOC area. The wind-driven barotropic circulation appears to be a major ingredient of the preconditioning phase of deep-water formation. After three months, the ocean response is dominated by a strong barotropic cyclonic vortex located under the forcing area, which fits the Sverdrup balance away from the northern coast. In the vortex center, the whole water column remains trapped under the forcing area all winter. This trapping enables the thermohaline forcing to drive deep-water formation efficiently. Sensitivity studies show that, β effect and bottom topography play a paramount role and confirm that deep convection occurs only in areas that combine a strong surface thermohaline forcing and a weak barotropic advection so that water masses are submitted to the negative buoyancy fluxes for a much longer time. In particular, the impact of the Rhône Deep Sea Fan on the barotropic circulation dominates the β effect: the barotropic flow is constrained to follow the bathymetric contours and the cyclonic vortex is shifted southward so that the fluid above the fan remains quiescent. Hence, buoyancy fluxes trigger deep convection above the fan in agreement with observations. The selection of the area of deep-water formation through the defection of the barotropic circulation by the topography seems a more efficient mechanism than those associated with the wind- driven barotropic vortex. This is due to its permanency, while the latter may be too sensitive to time and space variations of the forcing.}, owner = {gm}, timestamp = {2007.08.03} } @ARTICLE{Madec1988, author = {G. Madec and C. Rahier and M. Chartier}, title = {A comparison of two-dimensional elliptic solvers for the barotropic streamfunction in a multilevel OGCM}, journal = {Ocean Modelling}, year = {1988}, volume = {78}, owner = {gm}, timestamp = {2007.08.10} } @ARTICLE{Maltrud1998, author = {M. E. Maltrud and R. D. Smith and A. J. Semtner and R. C. Malone}, title = {Global eddy-resolving ocean simulations driven by 1985-1995 atmospheric winds}, journal = JGR, year = {1998}, volume = {103(C13)}, pages = {30,825-30,854}, owner = {gm}, timestamp = {2007.08.05} } @ARTICLE{Marchesiello2001, author = { P. Marchesiello and J. Mc Williams and A. Shchepetkin }, title = {Open boundary conditions for long-term integrations of Regional Oceanic Models}, journal = {Ocean Modelling}, year = {2001}, volume = {3}, pages = {1-20} } @BOOK{MIT-GCM_2004, title = {MIT-gcm User Manual}, year = {2004}, editor = {MIT Department of EAPS}, author = {J. Marshall and A. Adcroft and J.-M. Campin and P. Heimbach and A. Molod and S. Dutkiewicz and H. Hill and M. Losch and B. Fox-Kemper and D. Menemenlis and D. Ferreira and E. Hill and M. Follows and C. Hill and C. Evangelinos and G. Forget}, owner = {gm}, timestamp = {2008.07.04} } @PHDTHESIS{MartiTh1992, author = {O. Marti}, title = {Etude de l'oc\'{e}an mondial : mod\'{e}lisation de la circulation et du transport de traceurs anthropog\'{e}niques}, school = {Universit\'{e} Pierre et Marie Curie, Paris, France, 201pp}, year = {1992}, owner = {gm}, timestamp = {2007.08.04} } @ARTICLE{Marti1992, author = {O. Marti and G. Madec and P. Delecluse}, title = {Comment on "Net diffusivity in ocean general circulation models with nonuniform grids" by F. L. Yin and I. Y. Fung}, journal = JGR, year = {1992}, volume = {97}, pages = {12763-12766}, month = aug, owner = {gm}, timestamp = {2007.08.03} } @ARTICLE{McDougall1987, author = {T. J. McDougall}, title = {Neutral Surfaces}, journal = {Journal of Physical Oceanography}, year = {1987}, volume = {17}, pages = {1950-1964}, number = {11}, abstract = {Scalar properties in the ocean are stirred (and subsequently mixed) rather efficiently by mesoscale eddies and two-dimensional turbulence along “neutral surfaces”, defined such that when water parcels are moved small distances in the neutral surface, they experience no buoyant restoring forces. By contrast, work would have to be done on a moving fluid parcel in order to keep it on a potential density surface. The differences between neutral surfaces and potential density surfaces are due to the variation of α/β with pressure (where α is the thermal expansion coefficient and β is the saline contraction coefficient). By regarding the equation of state of seawater as a function of salinity, potential temperature, and pressure, rather than in terms of salinity, temperature, and pressure, it is possible to quantify the differences between neutral surfaces and potential density surfaces. In particular, the spatial gradients of scalar properties (e.g., S, θ, tritium or potential vorticity) on a neutral surface can be quite different to the corresponding gradients in a potential density surface. For example, at a potential temperature of 4°C and a pressure of 1000 db, the lateral gradient of potential temperature in a potential density surface (referenced to sea level) is too large by between 50% and 350% (depending on the stability ratio Rp of the water column) compared with the physically relevant gradient of potential temperature on the neutral surface. Three-examples of neutral surfaces are presented, based on the Levitus atlas of the North Atlantic.}, date = {November 01, 1987}, owner = {gm}, timestamp = {2007.08.04} } @ARTICLE{McDougall_Taylor_JMR84, author = {T. J. McDougall and J. R. Taylor}, title = {Flux measurements across a finger interface at low values of the stability ratio}, journal = {Journal of Marine Research}, year = {1984}, volume = {42}, pages = {1-14}, owner = {gm}, timestamp = {2008.05.20} } @ARTICLE{Merryfield1999, author = {W. J. Merryfield and G. Holloway and A. E. Gargett}, title = {A Global Ocean Model with Double-Diffusive Mixing}, journal = JPO, year = {1999}, volume = {29}, pages = {1124-1142}, number = {6}, abstract = {A global ocean model is described in which parameterizations of diapycnal mixing by double-diffusive fingering and layering are added to a stability-dependent background turbulent diffusivity. Model runs with and without double-diffusive mixing are compared for annual-mean and seasonally varying surface forcing. Sensitivity to different double-diffusive mixing parameterizations is considered. In all cases, the locales and extent of salt fingering (as diagnosed from buoyancy ratio Rρ) are grossly comparable to climatology, although fingering in the models tends to be less intense than observed. Double-diffusive mixing leads to relatively minor changes in circulation but exerts significant regional influences on temperature and salinity.}, date = {June 01, 1999}, owner = {gm}, timestamp = {2007.08.06} } @BOOK{Mesinger_Arakawa_Bk76, title = {Numerical methods used in Atmospheric models}, publisher = {GARP Publication Series No 17}, year = {1976}, author = {F. Mesinger and A. Arakawa}, owner = {gm}, timestamp = {2008.02.09} } @ARTICLE{Murray1996, author = {R. J. Murray}, title = {Explicit Generation of Orthogonal Grids for Ocean Models}, journal = JCP, year = {1996}, volume = {126}, pages = {251-273}, number = {2}, month = {July}, owner = {gm}, timestamp = {2007.08.03} } @PHDTHESIS{OlivierPh2001, author = {F. Olivier}, title = {Etude de l'activit\'{e} biologique et de la circulation oc\'{e}anique dans un jet g\'{e}ostrophique: le front Alm\'{e}ria-Oran}, school = {Universit\'{e} Pierre et Marie Curie, Paris, France}, year = {2001}, owner = {gm}, timestamp = {2007.08.14} } @ARTICLE{PacPhil1981, author = {R.C. Pacanowski and S.G.H. Philander}, title = {Parameterization of Vertical Mixing in Numerical Models of Tropical Oceans}, journal = JPO, year = {1981}, volume = {11}, pages = {1443-1451}, number = {11}, abstract = {Measurements indicate that mixing processes are intense in the surface layers of the ocean but weak below the thermocline, except for the region below the core of the Equatorial Undercurrent where vertical temperature gradients are small and the shear is large. Parameterization of these mixing processes by means of coefficients of eddy mixing that are Richardson-number dependent, leads to realistic simulations of the response of the equatorial oceans to different windstress patterns. In the case of eastward winds results agree well with measurements in the Indian Ocean. In the case of westward winds it is of paramount importance that the nonzero heat flux into the ocean be taken into account. This beat flux stabilizes the upper layers and reduces the intensity of the mixing, especially in the cast. With an appropriate surface boundary condition, the results are relatively insensitive to values assigned to constants in the parameterization formula.}, date = {November 01, 1981}, owner = {gm}, timestamp = {2007.08.03} } @ARTICLE{Pacanowski_Gnanadesikan_MWR98, author = {R. C. Pacanowski and A. Gnanadesikan}, title = {Transient response in a z-level ocean model that resolves topography with partial-cells}, journal = MWR, year = {1998}, volume = {126}, pages = {3248-3270}, owner = {gm}, timestamp = {2008.01.26} } @ARTICLE{Paulson1977, author = {C. A. Paulson and J. J. Simpson}, title = {Irradiance Measurements in the Upper Ocean}, journal = JPO, year = {1977}, volume = {7}, pages = {952-956}, number = {6}, abstract = {Observations were made of downward solar radiation as a function of depth during an experiment in the North Pacific (35°N, 155°W). The irradiance meter employed was sensitive to solar radiation of wavelength 400–1000 nm arriving from above at a horizontal surface. Because of selective absorption of the short and long wavelengths, the irradiance decreases much faster than exponential in the upper few meters, falling to one-third of the incident value between 2 and 3 m depth. Below 10 m the decrease was exponential at a rate characteristic of moderately clear water of Type IA. Neglecting one case having low sun altitude, the observations are well represented by the expression I/I0=Rez/ζ1+(1−R)ezζ2, where I is the irradiance at depth −z, I0 is the irradiance at the surface less reflected solar radiation, R=0.62, ζ1 and ζ2 are attenuation lengths equal to 1.5 and 20 m, respectively, and z is the vertical space coordinate, positive upward with the origin at mean sea level. The depth at which the irradiance falls to 10% of its surface value is nearly the same as observations of Secchi depth when cases with high wind speed or low solar altitude are neglected. Parameters R, ζ1, and ζ2 are computed for the entire range of oceanic water types.}, date = {November 01, 1977}, owner = {gm}, timestamp = {2007.08.04} } @ARTICLE{Penduff2000, author = {T. Penduff and B. Barnier and A. Colin de Verdi\`{e}re}, title = { Self-adapting open boundaries for a regional model of the eastern North Atlantic}, journal = JGR, year = {2000}, volume = {105}, pages = {11,279-11,297} } @ARTICLE{Penduff2007, author = {T. Penduff and J. Le Sommer and B. Barnier and A.M. Treguier and J. Molines and G. Madec}, title = {Influence of numerical schemes on current-topography interactions in 1/4$^{\circ}$ global ocean simulations}, journal = {Ocean Science}, year = {2007}, volume = {?}, pages = {in revision} } @ARTICLE{Phillips1959, author = {R. S. Phillips}, title = {Dissipative Operators and Hyperbolic Systems of Partial Differential Equations}, journal = {Transactions of the American Mathematical Society}, year = {1959}, volume = {90(2)}, pages = {193-254}, doi = {doi:10.2307/1993202}, owner = {gm}, timestamp = {2007.08.10} } @ARTICLE{Redi_JPO82, author = {M. H. Redi}, title = {Oceanic isopycnal mixing by coordinate rotation}, journal = JPO, year = {1982}, volume = {13}, pages = {1154-1158}, owner = {gm}, timestamp = {2008.02.02} } @ARTICLE{Reverdin1991, author = {G. Reverdin and P. Delecluse and C. L\'{e}vy and P. Andrich and A. Morli\`{e}re and J. M. Verstraete}, title = {The near surface tropical Atlantic in 1982-1984 : results from a numerical simulation and a data analysis}, journal = PO, year = {1991}, volume = {27}, pages = {273-340}, owner = {gm}, timestamp = {2007.08.04} } @BOOK{Richtmyer1967, title = {Difference methods for initial-value problems}, publisher = {Interscience Publisher, Second Edition, 405pp}, year = {1967}, author = {R. D. Richtmyer and K. W. Morton}, owner = {gm}, timestamp = {2007.08.04} } @ARTICLE{Robert1966, author = {A. J. Robert}, title = {The integration of a Low order spectral form of the primitive meteorological equations}, journal = {J. Meteo. Soc. Japan}, year = {1966}, volume = {44, 2}, owner = {gm}, timestamp = {2007.08.04} } @INCOLLECTION{Roed1986, author = {L.P. Roed and C.K. Cooper}, title = {Open boundary conditions in numerical ocean models}, booktitle = {Advanced Physical Oceanography Numerical Modelling}, publisher = { NATO ASI Series, vol. 186.}, year = {1986}, editor = {J.J. O'Brien} } @ARTICLE{Roullet2000, author = {G. Roullet and G. Madec}, title = {salt conservation, free surface, and varying levels: a new formulation for ocean general circulation models}, journal = JGR, year = {2000}, volume = {105}, pages = {23,927-23,942}, owner = {sandra}, pdf = {Roullet_Madec_JGR00.pdf}, timestamp = {2007.03.22} } @ARTICLE{Sadourny1975, author = {R. Sadourny}, title = {The Dynamics of Finite-Difference Models of the Shallow-Water Equations}, journal = JAS, year = {1975}, volume = {32}, pages = {680-689}, number = {4}, abstract = {Two simple numerical models of the shallow-water equations identical in all respects but for their con-servation properties have been tested regarding their internal mixing processes. The experiments show that violation of enstrophy conservation results in a spurious accumulation of rotational energy in the smaller scales, reflected by an unrealistic increase of enstrophy, which ultimately produces a finite rate of energy dissipation in the zero viscosity limit, thus violating the well-known dynamics of two-dimensional flow. Further, the experiments show a tendency to equipartition of the kinetic energy of the divergent part of the flow in the inviscid limit, suggesting the possibility of a divergent energy cascade in the physical system, as well as a possible influence of the energy mixing on the process of adjustment toward balanced flow.}, date = {April 01, 1975}, owner = {gm}, timestamp = {2007.08.05} } @ARTICLE{Sarmiento1982, author = {J. L. Sarmiento and K. Bryan}, title = {Ocean transport model for the North Atlantic}, journal = JGR, year = {1982}, volume = {87}, pages = {394-409}, owner = {gm}, timestamp = {2007.08.04} } @ARTICLE{Sacha2005, author = {A. F. Shchepetkin and J. C. McWilliams}, title = {The regional oceanic modeling system (ROMS) - a split-explicit, free-surface, topography-following-coordinate oceanic modelr}, journal = {Ocean Modelling}, year = {2005}, volume = {9, 4}, pages = {347-404}, owner = {gm}, timestamp = {2007.08.04} } @ARTICLE{Sacha2003, author = {A. F. Shchepetkin and J. C. McWilliams}, title = {A method for computing horizontal pressure-gradient force in an oceanic model with a nonaligned vertical coordinate}, journal = JGR, year = {2003}, volume = {108(C3)}, pages = {3090, doi:10.1029/2001JC001047}, owner = {gm}, timestamp = {2007.08.05} } @ARTICLE{Shchepetkin1996, author = {A. F. Shchepetkin and J. J. O'Brien}, title = {A Physically Consistent Formulation of Lateral Friction in Shallow-Water Equation Ocean Models}, journal = MWR, year = {1996}, volume = {124}, pages = {1285-1300}, number = {6}, abstract = {Dissipation in numerical ocean models has two purposes: to simulate processes in which the friction is physically relevant and to prevent numerical instability by suppressing accumulation of energy in the smallest resolved scales. This study shows that even for the latter case the form of the friction term should be chosen in a physically consistent way. Violation of fundamental physical principles reduces the fidelity of the numerical solution, even if the friction is small. Several forms of the lateral friction, commonly used in numerical ocean models, are discussed in the context of shallow-water equations with nonuniform layer thickness. It is shown that in a numerical model tuned for the minimal dissipation, the improper form of the friction term creates finite artificial vorticity sources that do not vanish with increased resolution, even if the viscous coefficient is reduced consistently with resolution. An alternative numerical implementation of the no-slip boundary conditions for an arbitrary coast line is considered. It was found that the quality of the numerical solution may be considerably improved by discretization of the viscous stress tensor in such a way that the numerical boundary scheme approximates not only the stress tensor to a certain order of accuracy but also simulates the truncation error of the numerical scheme used in the interior of the domain. This ensures error cancellation during subsequent use of the elements of the tensor in the discrete version of the momentum equations, allowing for approximation of them without decrease in the order of accuracy near the boundary.}, date = {June 01, 1996}, owner = {gm}, timestamp = {2007.08.14} } @ARTICLE{Simmons2003, author = {H. L. Simmons and S. R. Jayne and L. C. St. Laurent and A. J. Weaver}, title = {Tidally driven mixing in a numerical model of the ocean general circulation}, journal = OM, year = {2003}, pages = {1-19}, abstract = {Astronomical data reveals that approximately 3.5 terawatts (TW) of tidal energy is dissipated in the ocean. Tidal models and satellite altimetry suggest that 1 TW of this energy is converted from the barotropic to internal tides in the deep ocean, predominantly around regions of rough topography such as midocean ridges. Aglobal tidal model is used to compute turbulent energy levels associated with the dissipation of internal tides, and the diapycnal mixing supported by this energy ?ux is computed using a simple parameterization. The mixing parameterization has been incorporated into a coarse resolution numerical model of the global ocean. This parameterization o?ers an energetically consistent and practical means of improving the representation of ocean mixing processes in climate models. Novel features of this implementation are that the model explicitly accounts for the tidal energy source for mixing, and that the mixing evolves both spatially and temporally with the model state. At equilibrium, the globally averaged di?usivity pro?le ranges from 0.3 cm2 s1 at thermocline depths to 7.7 cm2 s1 in the abyss with a depth average of 0.9 cm2 s1, in close agreement with inferences from global balances. Water properties are strongly in?uenced by the combination of weak mixing in the main thermocline and enhanced mixing in the deep ocean. Climatological comparisons show that the parameterized mixing scheme results in a substantial reduction}, owner = {sandra}, pdf = {Simmons_mixing_OM2003.pdf}, timestamp = {2007.03.22} } @ARTICLE{Song1994, author = {Y. Song and D. Haidvogel}, title = {A Semi-implicit Ocean Circulation Model Using a Generalized Topography-Following Coordinate System Authors:}, journal = JCP, year = {1994}, volume = {115, 1}, owner = {gm}, timestamp = {2007.08.04} } @ARTICLE{Song1998, author = {Y. T. Song}, title = {A General Pressure Gradient Formulation for Ocean Models. Part I: Scheme Design and Diagnostic Analysis}, journal = MWR, year = {1998}, volume = {126}, pages = {3213-3230}, number = {12}, abstract = {A Jacobian formulation of the pressure gradient force for use in models with topography-following coordinates is proposed. It can be used in conjunction with any vertical coordinate system and is easily implemented. Vertical variations in the pressure gradient are expressed in terms of a vertical integral of the Jacobian of density and depth with respect to the vertical computational coordinate. Finite difference approximations are made on the density field, consistent with piecewise linear and continuous fields, and accurate pressure gradients are obtained by vertically integrating the discrete Jacobian from sea surface.Two discrete schemes are derived and examined in detail: the first using standard centered differencing in the generalized vertical coordinate and the second using a vertical weighting such that the finite differences are centered with respect to the Cartesian z coordinate. Both schemes achieve second-order accuracy for any vertical coordinate system and are significantly more accurate than conventional schemes based on estimating the pressure gradients by finite differencing a previously determined pressure field.The standard Jacobian formulation is constructed to give exact pressure gradient results, independent of the bottom topography, if the buoyancy field varies bilinearly with horizontal position, x, and the generalized vertical coordinate, s, over each grid cell. Similarly, the weighted Jacobian scheme is designed to achieve exact results, when the buoyancy field varies linearly with z and arbitrarily with x, that is, b(x,z) = b0(x) + b1(x)z.When horizontal resolution cannot be made fine enough to avoid hydrostatic inconsistency, errors can be substantially reduced by the choice of an appropriate vertical coordinate. Tests with horizontally uniform, vertically varying, and with horizontally and vertically varying buoyancy fields show that the standard Jacobian formulation achieves superior results when the condition for hydrostatic consistency is satisfied, but when coarse horizontal resolution causes this condition to be strongly violated, the weighted Jacobian may give superior results.}, date = {December 01, 1998}, owner = {gm}, timestamp = {2007.08.05} } @ARTICLE{SongWright1998, author = {Y. T. Song and D. G. Wright}, title = {A General Pressure Gradient Formulation for Ocean Models. Part II - Energy, Momentum, and Bottom Torque Consistency}, journal = MWR, year = {1998}, volume = {126}, pages = {3231-3247}, number = {12}, abstract = {A new formulation of the pressure gradient force for use in models with topography-following coordinates is proposed and diagnostically analyzed in Part I. Here, it is shown that important properties of the continuous equations are retained by the resulting numerical schemes, and their performance in prognostic simulations is examined. Numerical consistency is investigated with respect to global energy conservation, depth-integrated momentum changes, and the representation of the bottom pressure torque. The performances of the numerical schemes are tested in prognostic integrations of an ocean model to demonstrate numerical accuracy and long-term integral stability. Two typical geometries, an isolated tall seamount and an unforced basin with sloping boundaries, are considered for the special case of no external forcing and horizontal isopycnals to test numerical accuracy. These test problems confirm that the proposed schemes yield accurate approximations to the pressure gradient force. Integral consistency conditions are verified and the energetics of the “advective elimination” of the pressure gradient error (Mellor et al) is considered.A large-scale wind-driven basin with and without topography is used to test the model’s long-term integral performance and the effects of bottom pressure torque on the transport in western boundary currents. Integrations are carried out for 10 years in each case and results show that the schemes are stable, and the steep topography causes no obvious numerical problems. A realistic meandering western boundary current is well developed with detached cold cyclonic and warm anticyclonic eddies as it extends across the basin. In addition, the results with topography show earlier separation and enhanced transport in the western boundary currents due to the bottom pressure torque.}, date = {December 01, 1998}, owner = {gm}, timestamp = {2007.08.05} } @PHDTHESIS{Speich1992, author = {S. Speich}, title = {Etude du for\c{c}age de la circulation g\'{e}n\'{e}rale oc\'{e}anique par les d\'{e}troits - cas de la mer d'Alboran}, school = {Universit\'{e} Pierre et Marie Curie, Paris, France}, year = {1992}, owner = {gm}, timestamp = {2007.08.06} } @ARTICLE{Speich1996, author = {S. Speich and G. Madec and M. Cr\'{e}pon}, title = {The circulation in the Alboran Sea - a sensitivity study}, journal = JPO, year = {1996}, volume = {26}, owner = {gm}, timestamp = {2007.08.06} } @ARTICLE{Steele2001, author = {M. Steele and R. Morley and W. Ermold}, title = {PHC- A Global Ocean Hydrography with a High-Quality Arctic Ocean}, journal = {Journal of Climate}, year = {2001}, volume = {14}, pages = {2079--2087 }, number = {9}, abstract = {A new gridded ocean climatology, the Polar Science Center Hydrographic Climatology (PHC), has been created that merges the 1998 version of the World Ocean Atlas with the new regional Arctic Ocean Atlas. The result is a global climatology for temperature and salinity that contains a good description of the Arctic Ocean and its environs. Monthly, seasonal, and annual average products have been generated. How the original datasets were prepared for merging, how the optimal interpolation procedure was performed, and characteristics of the resulting dataset are discussed, followed by a summary and discussion of future plans.}, date = {May 01, 2001}, owner = {gm}, timestamp = {2007.08.06} } @ARTICLE{Stein1992, author = {C. A. Stein and S. Stein}, title = {A model for the global variation in oceanic depth and heat flow with lithospheric age}, journal = {Nature}, year = {1992}, volume = {359}, pages = {123-129}, owner = {gm}, timestamp = {2007.08.04} } @ARTICLE{Thiem2006, author = {O. Thiem and J. Berntsen}, title = {Internal pressure errors in sigma-coordinate ocean models due to anisotropy}, journal = {Ocean Modelling}, year = {2006}, volume = {12, 1-2}, owner = {gm}, timestamp = {2007.08.05} } @ARTICLE{Timmermann_al_OM05, author = {R. Timmermann and H. Goosse and G. Madec and T. Fichefet, and C. Ethe and V. Duli\`{e}re}, title = {On the representation of high latitude processes in the ORCA-LIM global coupled sea ice-ocean model.}, journal = {Ocean Modelling}, year = {2005}, volume = {8}, pages = {175–201}, owner = {gm}, timestamp = {2008.07.05} } @ARTICLE{Treguier1992, author = {A.M. Tr\'{e}guier}, title = {Kinetic energy analysis of an eddy resolving, primitive equation North Atlantic model}, journal = JGR, year = {1992}, volume = {97}, pages = {687-701} } @ARTICLE{Treguier2001, author = {A.M Tr\'{e}guier and B. Barnier and A.P. de Miranda and J.M. Molines and N. Grima and M. Imbard and G. Madec and C. Messager and T. Reynaud and S. Michel}, title = {An Eddy Permitting model of the Atlantic circulation: evaluating open boundary conditions}, journal = JGR, year = {2001}, volume = {106}, pages = {22115-22129} } @ARTICLE{Treguier1996, author = {A.-M. Tr\'{e}guier and J. Dukowicz and K. Bryan}, title = {Properties of nonuniform grids used in ocean general circulation models}, journal = JGR, year = {1996}, volume = {101}, pages = {20877-20881}, owner = {gm}, timestamp = {2007.08.03} } @ARTICLE{Treguier1997, author = {A. M. Tr\'{e}guier and I. M. Held and V. D. Larichev}, title = {Parameterization of Quasigeostrophic Eddies in Primitive Equation Ocean Models}, journal = JPO, year = {1997}, volume = {27}, pages = {567-580}, number = {4}, abstract = {A parameterization of mesoscale eddy fluxes in the ocean should be consistent with the fact that the ocean interior is nearly adiabatic. Gent and McWilliams have described a framework in which this can be approximated in z-coordinate primitive equation models by incorporating the effects of eddies on the buoyancy field through an eddy-induced velocity. It is also natural to base a parameterization on the simple picture of the mixing of potential vorticity in the interior and the mixing of buoyancy at the surface. The authors discuss the various constraints imposed by these two requirements and attempt to clarify the appropriate boundary conditions on the eddy-induced velocities at the surface. Quasigeostrophic theory is used as a guide to the simplest way of satisfying these constraints.}, date = {April 01, 1997}, owner = {gm}, timestamp = {2007.08.03} } @BOOK{UNESCO1983, title = {Algorithms for computation of fundamental property of sea water}, publisher = {Techn. Paper in Mar. Sci, 44, UNESCO}, year = {1983}, author = {UNESCO}, owner = {gm}, timestamp = {2007.08.04} } @TECHREPORT{OASIS2006, author = {S. Valcke}, title = {OASIS3 User Guide (prism\_2-5)}, institution = {PRISM Support Initiative Report No 3, CERFACS, Toulouse, France, 64 pp}, year = {2006}, owner = {gm}, timestamp = {2007.08.05} } @TECHREPORT{valal00, author = {S. Valcke and L. Terray and A. Piacentini }, title = {The OASIS Coupled User Guide Version 2.4}, institution = {CERFACS}, year = {2000}, number = {TR/CMGC/00-10} } @ARTICLE{Vancoppenolle_al_OM08, author = {M. Vancoppenolle and T. Fichefet and H. Goosse and S. Bouillon and G. Madec and M. A. Morales Maqueda}, title = {Simulating the mass balance and salinity of Arctic and Antarctic sea ice. 1. Model description and validation}, journal = {Ocean Modelling}, year = {2008}, volume = {in press}, owner = {gm}, timestamp = {2008.07.05} } @ARTICLE{Weatherly1984, author = {G. L. Weatherly}, title = {An estimate of bottom frictional dissipation by Gulf Stream fluctuations}, journal = JMR, year = {1984}, volume = {42, 2}, pages = {289-301}, owner = {gm}, timestamp = {2007.08.06} } @ARTICLE{Weaver1997, author = {A. J. Weaver and M. Eby}, title = {On the numerical implementation of advection schemes for use in conjuction with various mixing parameterizations in the GFDL ocean model}, journal = JPO, year = {1997}, volume = {27}, owner = {gm}, timestamp = {2007.08.06} } @ARTICLE{Webb1998, author = {D. J. Webb and B. A. de Cuevas and C. S. Richmond}, title = {Improved Advection Schemes for Ocean Models}, journal = JAOT, year = {1998}, volume = {15}, pages = {1171-1187}, number = {5}, abstract = {Leonard’s widely used QUICK advection scheme is, like the Bryan–Cox–Semtner ocean model, based on a control volume form of the advection equation. Unfortunately, in its normal form it cannot be used with the leapfrog–Euler forward time-stepping schemes used by the ocean model. Farrow and Stevens overcame the problem by implementing a predictor–corrector time-stepping scheme, but this is computationally expensive to run. The present paper shows that the problem can be overcome by splitting the QUICK operator into an O(δx2) advective term and a velocity dependent biharmonic diffusion term. These can then be time-stepped using the combined leapfrog and Euler forward schemes of the Bryan–Cox–Semtner ocean model, leading to a significant increase in model efficiency. A small change in the advection operator coefficients may also be made leading to O(δx4) accuracy. Tests of the improved schemes are carried out making use of a global eddy-permitting ocean model. Results are presented from cases where the schemes were applied to only the tracer fields and also from cases where they were applied to both the tracer and velocity fields. It is found that the new schemes have the most effect in the western boundary current regions, where, for example, the warm core of the Agulhas Current is no longer broken up by numerical noise.}, date = {October 01, 1998}, owner = {gm}, timestamp = {2007.08.04} } @ARTICLE{Willebrand2001, author = {J. Willebrand and B. Barnier and C. Boning and C. Dieterich and P. D. Killworth and C. Le Provost and Y. Jia and J.-M. Molines and A. L. New}, title = {Circulation characteristics in three eddy-permitting models of the North Atlantic}, journal = {Progress in Oceanography}, year = {2001}, volume = {48, 2}, pages = {123-161}, owner = {gm}, timestamp = {2007.08.04} } @ARTICLE{Zalesak1979, author = {S. T. Zalesak}, title = {Fully multidimensional flux corrected transport algorithms for fluids}, journal = JCP, year = {1979}, volume = {31}, owner = {gm}, timestamp = {2007.08.04} } @ARTICLE{Zhang1992, author = {Zhang, R.-H. and Endoh, M.}, title = {A free surface general circulation model for the tropical Pacific Ocean}, journal = JGR, year = {1992}, volume = {97}, pages = {11237-11255}, month = jul, owner = {gm} } @comment{jabref-meta: groupsversion:3;} @comment{jabref-meta: groupstree: 0 AllEntriesGroup:; 1 ExplicitGroup:El Nino\;2\;blanketal97\;; 2 ExplicitGroup:97/98 event\;0\;; 2 ExplicitGroup:Forecast\;0\;; 2 ExplicitGroup:GHG change\;0\;; 2 ExplicitGroup:in GCMs\;0\;; 2 ExplicitGroup:in MIPs\;0\;; 2 ExplicitGroup:momentum balance\;0\;; 2 ExplicitGroup:Obs analysis\;0\;; 2 ExplicitGroup:Paleo\;0\;; 2 ExplicitGroup:Previous events\;0\;; 2 ExplicitGroup:Reviews\;0\;; 2 ExplicitGroup:Simple models\;0\;Zhang1992\;; 2 ExplicitGroup:SPL, SC, mean\;0\;; 2 ExplicitGroup:Teleconnections\;0\;; 2 ExplicitGroup:Low freq\;0\;; 2 ExplicitGroup:Theory\;0\;; 2 ExplicitGroup:Energetics\;0\;; 1 ExplicitGroup:Diurnal in tropics\;0\;; 1 ExplicitGroup:Indian\;0\;; 1 ExplicitGroup:Atlantic\;0\;; 1 ExplicitGroup:MJO, IO, TIW\;2\;; 2 ExplicitGroup:Obs\;0\;; 2 ExplicitGroup:GCM\;0\;; 2 ExplicitGroup:Mechanims\;0\;; 2 ExplicitGroup:TIW\;0\;; 1 ExplicitGroup:Observations\;2\;; 2 ExplicitGroup:ERBE\;0\;; 2 ExplicitGroup:Tropical\;0\;; 2 ExplicitGroup:Global\;0\;; 2 ExplicitGroup:Clouds\;0\;; 2 ExplicitGroup:Scale interactions\;0\;; 1 ExplicitGroup:Mechanisms\;2\;; 2 ExplicitGroup:CRF\;0\;; 2 ExplicitGroup:Water vapor\;0\;; 2 ExplicitGroup:Atmos mechanisms\;0\;; 1 ExplicitGroup:GCMs\;2\;; 2 ExplicitGroup:Uncertainty\;0\;; 2 ExplicitGroup:Momentum balance\;0\;; 1 ExplicitGroup:Climate change\;0\;; 2 ExplicitGroup:IPCC AR4\;0\;; 1 ExplicitGroup:Analysis tools\;0\;; 1 KeywordGroup:EG publis\;0\;author\;guilyardi\;0\;0\;; }