References

1

B. A. Warren and C. Wunsch, 1981, Evolution of Physical Oceanography. MIT Press, 623pp.

2

S.J. Auer, 1987, Five-year climatological survey of the Gulf Stream system and its associated rings. J. Geophys. Res. 92, 11790-11796.

3

O.B. Brown and R.H. Evans, 1987, Satellite infrared remote sensing. Study of physical processes on the US mid-Atlantic slope and rise. Casagrande, Ed., Science Applications Int. IV-67-IV-97.

4

S. Levitus, 1990, Interpentadal variability of steric sea level and geopotential thickness of the north Atlantic ocean, 1970-1974 versus 1955-1959. J. Geophys. Res. 95, 5233-5238.

5

B. Qiu, K.A Kelly and T.M Joyce, 1991, Mean flow and variability in the Kuroshio extension from geosat altimetry data. J. Geophys. Res. 96, 18491-18507.

6

D.B. Olson, G.P. Podesta, R.H. Evans and O.B. Brown, 1988, Temporal variations in the separation of Brazil and Malvinas currents. Deep-Sea Res. 35, 1971-1990.

7

G. Veronis, 1966, Wind-driven ocean circulation. Part 2: Numerical solution of the nonlinear problem. Deep-Sea Res. 13, 31-55.

8

W.R. Holland and L.B. Lin, 1975, On the generation of mesoscale eddies and their contribution to oceanic general circulation. I: A preliminary numerical experiment. J. Phys. Oceanogr. 5, 642-657.

9

E.P. Chassignet and R. Bleck, 1993, The influence of layer outcropping on the separation of boundary currents. Part I: The wind-driven experiments. J. Phys. Oceanogr. 23, 1485-1507.

10

A.E. Green and P.M. Naghdi, 1976, A derivation of equations for wave propagation in water of variable depth. J. Fluid Mech. 78, 237-246.

11

S.V. Bazdenkov, N.N. Morozov and O.P. Pogutse, 1985, Dispersive effects in two-dimensional hydrodynamics. Dokl. Akad. Nauk SSSR 293, 818-822; [Sov. Phys. Dokl. 32, 262-264].

12

D.D. Holm, 1988, Hamiltonian structure for two-dimensional hydrodynamics with nonlinear dispersion. Phys. Fluids 31, 2371-2373.

13

B.T. Nadiga, L.G. Margolin and P.K. Smolarkiewicz, 1995, Various Approximations of Shallow Fluid Flow over an Obstacle. (submitted to Physics of Fluids).

14

P.K. Smolarkiewicz and L.G. Margolin, 1994, Variational solver for elliptic problems in atmospheric flows. Appl. Math. and Comp. Sci. 4, 101-125.

15

W.H. Press, B.P. Flannery, S.A. Teukolsky and W.T. Vetterling, 1988, Numerical Recipes in C, The art of scientific computing. Cambridge University Press, New York, chapter 12.

16

R. Vautard and M. Ghil, 1989, Singular spectrum analysis in nonlinear dynamics, with applications to paleoclimatic time series. Physica D 35, 395-424.

17

C. Penland, M. Ghil and K.M. Weickmann, 1991, Adaptive filtering and maximum entropy spectra with application to changes in atmospheric angular momentum. J. Geophys. Res. 96, 22659-22671.

18

R. Vautard, P. Yiou and M. Ghil, 1992, Singular spectrum analysis: A toolkit for short, noisy chaotic signals. Physica D 58, 95-126.

19

M.D. Dettinger, M. Ghil, C.M. Strong, W. Weibel and P. Yiou, 1995, Software expedites singular-spectrum analysis of noisy time series. EOS, Trans. American Geophys. Union 76, 12,14,21.

20

J. Marshall, C. Hill, L. Perelman, and A. Adcroft, 1995, Hydrostatic, Quasi-hydrostatic and Non-hydrostatic Ocean Modeling, (preprint).

21

A. Mahadevan, J. Oliger, R. Street, 1995, A Nonhydrostatic mesoscale ocean model. 1: Well-posedness and scaling, 2: Numerical implementation. (preprint).

22

G.L. Browning, W.R. Holland, H.O. Kreiss and S.J. Worley, 1990, An accurate hyperbolic system for approximately hydrostatic and incompressible oceanographic flows. Dyns. Atmos. Oceans 14, 303-332.

23

J.D. McCalpin, 1995, The statistics and sensitivity of a double-gyre model: The reduced-gravity, quasigeostrophic case. J. Phys. Oceanogr. 25, 806-824.

24

J.D. McCalpin and D.B. Haidvogel, 1995, Phenomenology of the low-frequency variability in a reduced-gravity, quasigeostrophic double-gyre model. (preprint).

25

R. Camassa and D.D. Holm, 1992, Dispersive barotropic equations for stratified mesoscale ocean dynamics. Physica D 60, 1-15.

26

J. Miles and R. Salmon, 1985, Weakly dispersive nonlinear gravity waves. J. Fluid Mech. 157, 519-531.

27

D.D. Holm, J.E. Marsden and T.S. Ratiu, 1985, Hamiltonian Structure and Lyapunov Stability for Ideal Continuum Dynamics., ISBN 2-7606-0771-2, Montreal: University of Montreal Press.

28

P.K. Smolarkiewicz and J.A. Pudykiewicz, 1992, A class of semi-Lagrangian approximations for fluids. J. Atmos. Sci. 49, 2082-2096.

29

B.T. Nadiga, L.G. Margolin and P.K. Smolarkiewicz, 1996, Semi-Lagrangian Shallow Water Modeling on the CM-5. (to appear in Proceedings of Parallel CFD'95, Elsevier).

30

H. Lamb, 1945, Hydrodynamics, Dover, New York, p. 13

31

C. Truesdell, 1966, The mechanical foundations of elasticity and fluid dynamics, Gordon and Breach, 1966 chapter 3.22