|
|
|
|
|
|
|
History |
|
Developed from MICOM version 2.8 |
|
See Bleck (1998) for a description of
MICOM |
|
Hybrid coordinate scheme used in HYCOM |
|
Model equations written in generalized
vertical coordinates |
|
Originally used in the Bleck and Boudra
(1981) quasi-isopycnic model |
|
Numerical schemes could not handle zero
thickness layers |
|
Minimum layer thickness was enforced |
|
The vertical coordinate became
non-isopycnic in regions where the layers became too thin |
|
A hybrid (isentropic-sigma) vertical
coordinate was used in the atmospheric model of Bleck and Benjamin (1993) |
|
The HYCOM isopycnic-level-sigma
vertical coordinate scheme is an adaptation and extension of the
Bleck/Benjamin algorithm |
|
|
|
|
|
Vertical Coordinates |
|
Hybrid coordinates |
|
Nearsurface: z-coordinates |
|
Shallow water: sigma
(terrain-following) coordinates |
|
Coordinates are isopycnic in the bulk
of the ocean interior |
|
Isopycnic coordinates (MICOM mode) |
|
Hybrid Vertical Coordinate Scheme (part
1) |
|
In the open ocean, the coordinates are
isopycnic except year the surface where minimum coordinate separation is
enforced. The minimum separation differs for each layer, giving the user
great flexibility to set the vertical coordinate structure in the z-coordinate
domain. |
|
A cushion function described in Bleck
and Benjamin (1993) provides a smooth transition between the isopycnic and
z-coordinate domains. |
|
To activate the sigma coordinate
domain, the user specifies the number of sigma coordinates n and the
coordinate separation d. Vertical coordinates become terrain-following where
bottom depth is less than n*d. In extremely shallow water, the coordinates revert
to level coordinates. |
|
|
|
|
|
|
Hybrid Vertical Coordinate Scheme (part
2) |
|
In the deep ocean, the isopycnic-level
coordinate transition is performed as follows: |
|
If the density of a given layer does
not equal the isopycnic reference density, the interfaces bounding the layer
are adjusted to return the density to its reference value |
|
If the layer is too light, the
interface below is moved downward so that the entrained denser water returns
the density to its reference value |
|
If the layer is too dense, the
interface above is moved upward in the same manner |
|
If minimum coordinate separation is
violated near the ocean surface, the cushion function is used to re-calculate
the vertical coordinate location, prohibiting the restoration of isopycnic
conditions. |
|
Two of the thermodynamical variables T,
S, and density are mixed across the moving interfaces (user selectable), with
the third calculated from the equation of state. If T and S are mixed, exact
isopycnal density is not restored, but repeated application keeps the error
small. |
|
|
|
|
|
|
K-Profile Parameterization (KPP) |
|
Developed by Large, Mc Williams, and
Doney (1994) |
|
Governs Vertical Mixing of Entire Water
Column |
|
Parameterizes Several Physical
Processes |
|
Surface boundary layer |
|
Mechanical wind mixing |
|
Buoyancy flux forcing |
|
Convective overturning |
|
Non-local (counter-gradient) fluxes |
|
Diapycnal mixing in ocean interior |
|
Instability due to resolved vertical
shear |
|
Background internal wave mixing |
|
Double diffusion mixing (diffusive
convection and salt fingering) |
|
Can Run at Relatively Low Vertical
Resolution |
|
|
|
|
|
|
|
|
KPP Procedure (part 2) |
|
Calculate surface boundary layer k
profiles for T, S, and momentum |
|
Vertical diffusivity for T is
parameterized as |
|
|
|
where is the nonlocal transport term |
|
Diffusivity is parameterized as |
|
where w is a turbulent velocity scale
that is a function of the stability of the forcing, G is a 3rd
order polynomial shape function, and sigma is a scale depth varying from 0 to
1 over the depth range H |
|
Choose coefficients of G to match the
interior and boundary layer K profiles, producing a final K profile with a
continuous first vertical derivative |
|
Solve diffusion equation
semi-implicitly with two temporal iterations |
|
Diagnose mixed layer thickness along
with T, S, u, and v |
|
|
|
|
|
|
|
Two hybrid-coordinate K-T mixed layer
models have been developed. |
|
K-T 1: Full model |
|
This version has a prognostic mixed
layer base. At a given grid point, the base is contained within layer k and
divides this layer into two sublayers (see diagram on previous slide). T and
S are estimated within these sublayers by “unmixing” each variable, then the
TKE balance is calculated as in the MICOM K-T mixed layer. |
|
K-T 2: Simplified model |
|
This version was developed by Rainer
Bleck to avoid unmixing and the associated computational overhead. At each
grid point, the mixed layer base always resides on a vertical coordinate
interface. |
|
When HYCOM is run in MICOM mode, the
MICOM 2.8 Kraus-Turner mixed layer model is used. The mixed layer base
coincides with vertical coordinate interface 2 (layer 1 is the slab mixed
layer). Another major difference from the hybrid-coordinate K-T models is the
detrainment algorithm, since the density of detrained water must match the
isopycnic reference density of the layer accepting the water. |
|
|
|
|
|
General Properties of Model Simulations |
|
Domain |
|
Atlantic Ocean basin, 20S to 62N |
|
Resolution: 2 degrees horizontal, 22
layers vertical |
|
Forcing |
|
Climatological annual cycle forcing
derived from COADS |
|
Driven by vector wind stress, wind
speed, air temperature and humidity, precipitation, longwave and shortwave
surface radiation |
|
Model runs and analysis |
|
25-year spinup from zonally-averaged
climatology [p(lat)] derived from Levitus climatology |
|
One-year and five-year analysis runs
with fields archived monthly |
|
Analyze year 26, winter (Feb.) and
summer (Aug.) |
|
Analyze 5-year time series, years 26-30 |
|
Minimum layer thickness in the
z-coordinate domain set to 10 m for all layers |
|
|
|
|
|
Primary Comparisons: |
|
Five model simulations compared to
Levitus climatology |
|
HYCOM KPP |
|
HYCOM KPP (theta-S) |
|
HYCOM K-T Implicit |
|
HYCOM K-T MICOM Mode |
|
HYCOM K-T Explicit |
|
The primary comparisons evaluate the
primary vertical mixing schemes plus the consequences of selecting theta-S
advection (where T is not conserved) instead of T-S advection |
|
|
|
Other Comparisons: |
|
HYCOM K-T MICOM mode vs. MICOM 2.8 |
|
Demonstrates expected strong similarity
between the models |
|
HYCOM K-T 1 vs. HYCOM K-T 2 |
|
Compare performance of the two hybrid
K-T mixed layer models |
|
HYCOM KPP (Rlx. BC) vs. Levitus
Climatology |
|
Compare “most realistic” simulation to
observations |
|
|
|
|
|
Primary Comparisons: |
|
Five model simulations compared to
Levitus climatology |
|
HYCOM KPP |
|
HYCOM KPP (theta-S) |
|
HYCOM K-T Implicit |
|
HYCOM K-T MICOM Mode |
|
HYCOM K-T Explicit |
|
The primary comparisons evaluate the
primary vertical mixing schemes plus the consequences of selecting theta-S
advection (where T is not conserved) instead of T-S advection |
|
Other Comparisons: |
|
HYCOM K-T MICOM mode vs. MICOM 2.8 |
|
Demonstrates expected strong similarity
between the models |
|
HYCOM K-T 1 vs. HYCOM K-T 2 |
|
Compare performance of the two hybrid
K-T mixed layer models |
|
HYCOM KPP (Rlx. BC) vs. Levitus
Climatology |
|
Compare “most realistic” simulation to
observations |
|
|
|
|
|
Primary Comparisons: |
|
Five model simulations compared to
Levitus climatology |
|
HYCOM KPP |
|
HYCOM KPP (theta-S) |
|
HYCOM K-T Implicit |
|
HYCOM K-T MICOM Mode |
|
HYCOM K-T Explicit |
|
The primary comparisons evaluate the
primary vertical mixing schemes plus the consequences of selecting theta-S
advection (where T is not conserved) instead of T-S advection |
|
Other Comparisons: |
|
HYCOM K-T MICOM mode vs. MICOM 2.8 |
|
Demonstrates expected strong similarity
between the models |
|
HYCOM K-T 1 vs. HYCOM K-T 2 |
|
Compare performance of the two hybrid
K-T mixed layer models |
|
HYCOM KPP (Rlx. BC) vs. Levitus
Climatology |
|
Compare “most realistic” simulation to
observations |
|
|
|
|
Time series of upper-ocean variability
are presented for the eight model grid points shown on the following slide.
The points are: |
|
NAC (North Atlantic Current) |
|
STMW (Subtropical Mode Water formation
region) |
|
SARG (Sargasso Sea, interior western
subtropical gyre) |
|
ESTG (interior eastern subtropical
gyre) |
|
EBC (subtropical eastern boundary
current) |
|
CRBN (Caribbean Sea) |
|
TRDW (North Atlantic Trade Winds) |
|
EQTR (Equator) |
|
Two sets of analysis are presented for
temperature |
|
One year time series |
|
Five year time series |
|
Three cases are compared |
|
HYCOM KPP |
|
HYCOM K-T Implicit |
|
HYCOM MICOM Mode |
|
|
|
|
The use of hybrid vertical coordinates
and improved vertical mixing algorithms improved the quality of model
simulations. |
|
Improved representation of subtropical
mode water. |
|
Improved horizontal mixed layer
salinity distribution in the subtropical gyre. |
|
Improved resolution of tropical
upper-ocean flow. |
|
Explicit resolution of upper-ocean wind
driven flow |
|
HYCOM run in MICOM mode produced
results extremely close to MICOM 2.8, indicating that code changes in HYCOM
did not degrade the quality of the solution. |
|
Many observed shortcomings of these
HYCOM simulations can be traced to the lack of an ice model, surface forcing
errors, the simple initial conditions, and the lack of river runoff. |
|
The choice of which two thermodynamical
variables are advected and also mixed in the vertical coordinate adjustment
algorithm did not have a noticeable influence on the solutions even though in
the KPP (theta-S) experiment, temperature was not conserved. |
|
|
|
Bleck, R., 1998: Ocean modeling in
isopycnic coordinates. Chapter 18 in Ocean Modeling and Parameterization, E.
P. Chassignet and J. Verron, Eds., NATO Science Series C: Mathematical and
Physical Sciences, Vol. 516, Kluwer Academic Publishers, 4223-448. |
|
|
|
Bleck, R. and D. Boudra, 1981: Initial
testing of a numerical ocean circulation model using a hybrid
(quasi-isopycnic) vertical coordinate. J. Phys. Oceanogr., 11, 755-770. |
|
|
|
Bleck, R. and S. Benjamin, 1993:
Regional weather prediction with a model combining terrain-following and
isentropic coordinates, Part 1: Model description. Mon. Wea. Rev., 121,
1770-1785. |
|
|
|
Large, W. G., J. C. Mc Williams, and S.
C. Doney, 1994: Oceanic vertical mixing: a review and a model with a nonlocal
boundary layer parameterization. Rev. Geophys. 32, 363-403. |
|
|