References

References

[AAB+19]

A. Adcroft, W. Anderson, V. Balaji, C. Blanton, M. Bushuk, C. O. Dufour, J. P. Dunne, S. M. Griffies, R. Hallberg, M. J. Harrison, I. M. Held, M. F. Jansen, J. G. John, J. P. Krasting, A. R. Langenhorst, S. Legg, Z. Liang, C. McHugh, A. Radhakrishnan, B. G. Reichl, T. Rosati, B. L. Samuels, A. Shao, R. Stouffer, M. Winton, A. T. Wittenberg, B. Xiang, N. Zadeh, and R. Zhang. The GFDL global ocean and sea ice model OM4.0: Model description and simulation features. Journal of Advances in Modeling Earth Systems, 11:3167–3211, 2019. doi:https://doi.org/10.1029/2019MS001726.

[AH06]

Alistair Adcroft and Robert Hallberg. On methods for solving the oceanic equations of motion in generalized vertical coordinates. Ocean Modell., 11:224–233, 2006.

[CAHM04]

J.-M. Campin, A. Adcroft, C. Hill, and J. Marshall. Conservation of properties in a free-surface model. Ocean Modell., 6:221–244, 2004.

[CLB03]

C. Chen, H. Liu, and R. C. Beardsley. An unstructured, finite volume, three-dimensional, primitive equation ocean model: application to coastal ocean and estuaries. J. Atmos. Ocean. Tech., 20:159–186, 2003.

[DK19]

S. Danilov and A. Kutsenko. On the geometric origin of spurious waves in finite-volume discretizations of shallow water equations on triangular meshes. J. Comput. Phys., 398:108891, 2019. doi:https://doi.org/10.1016/j.jcp.2019.108891.

[EKM17]

D. Engwirda, M. Kelley, and J. Marshall. High-order accurate finite-volume formulations for the pressure gradient force in layered ocean models. Ocean Modelling, 116:1–15, 2017.

[FNV10]

S. Ferrari, R.and Griffies, G. Nurser, and G. K. Vallis. A boundary-value problem for the parameterized mesoscale eddy transport. Ocean Modell., 32:143–156, 2010. doi:10.1016/j.ocemod.2010.01.004.

[FKM08]

B. Fox-Kemper and D. Menemenlis. Can large eddy simulation techniques improve mesoscale rich ocean models? Geoph. Monog. Series 177. AGU, 2008.

[GM90]

P.R. Gent and J.C. McWilliams. Isopycnal mixing in ocean circulation models. J. Phys. Oceanogr., 20:150–155, 1990.

[Gri04]

S. M. Griffies. Fundamentals of Ocean Climate Models. Princeton University Press, 2004.

[HBB10]

R. Hofmeister, H. Burchard, and J. M. Beckers. Non-uniform adaptive vertical grids for 3d numerical ocean models. Ocean Modell., 33:70–86, 2010.

[LM11]

M. Leclair and G. Madec. $\tilde z$-coordinate, an arbitrary Lagrangian-Eulerian coordinate separating high and low frequency motions. Ocean Modell., 37:139–152, 2011.

[LemarieDM+15]

F. Lemarié, L. Debreu, G. Madec, J. Demange, J. M. Molines, and Honnorat M. Stability constraints for oceanic numerical models: implications for the formulation of time and space discretizations. Ocean Modell., 92:124–148, 2015.

[LemarieDSM12]

F. Lemarié, L. Debreu, A. F. Shchepetkin, and J. C. McWilliams. On the stability and accuracy of the harmonic and biharmonic isoneutral mixing operators in ocean models. Ocean Modell., 52-53:9–35, 2012.

[LemarieKS+12]

F. Lemarié, J. Kurian, A. F. Shchepetkin, M. J. Molemaker, F. Colas, and J. C. McWilliams. Are there inescapable issues prohibiting the use of terrain-following coordinates in climate models? Ocean Modell., 42:57–79, 2012.

[PJR+15]

M. R. Petersen, D. W. Jacobsen, T. D. Ringler, M. W. Hecht, and M. E. Maltrud. Evaluation of the arbitrary Lagrangian Eulerian vertical coordinate method in the MPAS-ocean model. Ocean Modell., 86:93–113, 2015.

[RPH+13]

T. Ringler, M. Petersen, R. Higdon, D. Jacobsen, M. Maltrud, and P.W. Jones. A multi-resolution approach to global ocean modelling. Ocean Modell., 69:211–232, 2013.

[Shc15]

A. F. Shchepetkin. An adaptive, Courant-number-dependent implicit scheme for vertical advection in oceanic modeling. Ocean Modell., 91:38–69, 2015.

[SM05]

A.F. Shchepetkin and J.C. McWilliams. The regional ocean modeling system: a split-explicit, free-surface, topography-following-coordinate oceanic model. Ocean Modeling, 9:347–404, 2005. doi:10.1016/j.ocemod.2004.08.002.