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.