
DEBOT model
(David Einšpigel's Barotropic Ocean Tide model)
This page is about the DEBOT model, a global barotropic ocean model, which I have been developing since 2010.
The model was first described in my diploma thesis (Einšpigel, 2012), however many changes and
improvements have been implemented since then. The model has now two modes: DEBOTh, a purely hydrodynamical mode, and DEBOTa, an assimilative mode. The model is
described in two papers: Einšpigel and Martinec (2015, 2016).
Characteristic of the model
 The governing equations are the shallowwater equation in geographical coordinates.
 Timedomain model. The timestepping scheme is a generalized forwardbackward scheme with a combined AdamsBashforth and AdamsMoulton step (Shchepetkin and McWilliams, 2008).
 Simulations of global ocean circulation except the polar areas.
 Real bathymetry data are obtained from 1 arcminute models ETOPO1 (Amante & Eakins, 2009) or GEBCO (IOC et al., 2003), a spatial resolution is defined by a user.
 The lunisolar tidal forcing implemented, the ephemerides of the Moon and the Sun are computed by the set of subroutines NOVAS F3.1 (Kaplan et al., 2011).
 Assimilative version of DEBOT is constrained by data from DTU10 model or OSU12 model
 The bottom friction, turbulent viscosity, scalar approximation of the selfattraction and loading and internal tide drag are implemented.
 The code is written in the freeformat Fortran and parallelized using OpenMP, CPP switches are used for defining model options.
Download
Results
10 days simulation of global ocean circulation (20' resolution) forced by the lunisolar tidal potential. Color scale denotes the elevation in meters.
Amplitudes and Greenwich phase lags of the surface elevation and zonal and meridional transports for eight major tides:
Q_{1},
O_{1},
P_{1},
K_{1},
N_{2},
M_{2},
S_{2},
K_{2}.
Absolute vector differences of all three variables between DEBOTh and DEBOTa and also between DEBOTa and TPXO for reference:
Q_{1},
O_{1},
P_{1},
K_{1},
N_{2},
M_{2},
S_{2},
K_{2}.
Surface elevation amplitudes and Greenwich phase lags of selected minor tides and compound tides for DEBOTa and FES2012 for reference and the absolute value differences between DEBOTa and FES2012:
S_{sa},
M_{m},
M_{f},
M_{tm},
J_{1},
ε_{2},
2N_{2},
μ_{2},
ν_{2},
λ_{2},
L_{2},
T_{2},
R_{2},
M_{3},
N_{4},
MN_{4},
M_{4},
MS_{4},
M_{6},
M_{8}.
References
 Amante, C. & Eakins, B. W., 2009: ETOPO1 1 ArcMinute Global
Relief Model: Procedures, Data Sources and Analysis. NOAA Technical
Memorandum NESDIS NGDC24, 19 pp.
 Einšpigel, D., 2012: Barotropic ocean tide model. Master thesis, Charles University in Prague.
 Einšpigel, D. & Martinec, Z., 2015: A new derivation of the shallow water equations in geographical coordinates and their application to
the global barotropic ocean model (the DEBOT model). Ocean Modelling, 92, 85–100. DOI: 10.1016/j.ocemod.2015.05.006
 Einšpigel, D. & Martinec, Z., 2016: Timedomain modelling of global ocean tides generated by the full lunisolar potential.
Accepted to Ocean Dynamics. DOI: 10.1007/s1023601610161.
 IOC, IHO, BODC, 2003: Centenary edition of the GEBCO digital atlas. Published on CDROM on behalf of the Intergovernmental Oceanographic Commission and the International
Hydrographic Organization as part of the General Bathymetric Chart of the Oceans.
 Kaplan, G., Bartlett, J., Monet, A., Bangert, J. & Puatua, W., 2011:
User's Guide to NOVAS Version F3.1. Washington, DC: USNO.
 Shchepetkin, A. F. & McWilliams, J. C., 2008: Computational kernel algorithms
for finescale, multiprocess, longtime oceanic simulations. In Handbook of Numerical Analysis: Computational Methods for the Ocean and the Atmosphere, Elsevier
Science, ISBN: 9780444518934.

