Variables

H

Hz

Vertical level thicknesses, $\,H_{z}\,(\xi ,\eta ,s)$. The thicknesses are time-dependent and computed in routine set_depths.

dimension = Hz(LBi:UBi,LBj:UBj,N)

pointer = GRID(ng)%Hz

tangent = tl_Hz

adjoint = ad_Hz

units = meter

grid = ρ-points

R

rho

In situ density anomaly computed as a function of potential temperature, salinity, and depth.

$\,\sigma (\xi ,\eta ,s)=\rho (\xi ,\eta ,s)-1000$.

dimension = rho(LBi:UBi,LBj:UBj,N)

pointer = OCEAN(ng)%rho

tangent = tl_rho

adjoint = ad_rho

units = kilogram meter^-3

grid = ρ-points

CPP = SOLVE3D, NONLIN_EOS

routine = rho_eos.F

It can computed using a linear or nonlinear equation of state. The nonlinear equation of state is based on Jackett and McDougall (1992) polynomial expressions.

T

t

Tracer-type variables, $\,T(\xi ,\eta ,s,t,itrc)$.

dimension = t(LBi:UBi,LBj:UBj,N,3,NT)

pointer = OCEAN(ng)%t

tangent = tl_t

adjoint = ad_t

grid = ρ-points

This array contains all the tracer fields. They are classified as active (potential temperature, salinity), inert (dyes, pollutants, oil spills, etc), passive (sediment, biology). There is a index identifier for each tracer field (see table below). Notice that salinity does not have physical units. Usually PSU is used to indicate that the practical salinity scale was used to determine conductivity.

Index	Field	Units	CPP
itemp	Potential temperature	Celsius	SOLVE3D
isalt	Salinity	None	SALINITY
inert(1:NPT)	NPT inert tracers	kilogram meter-3	T_PASSIVE
idsed(1:NST)	NST sediment tracers	kilogram meter-3	SEDIMENT
idbio(1:NBT)	NBT biology tracers	millimole meter-3	BIOLOGY

U

u

Total momentum component in the ξ-direction, $\,u(\xi ,\eta ,s,t)$.

dimension = u(LBi:UBi,LBj:UBj,N,2)

pointer = OCEAN(ng)%u

tangent = tl_u

adjoint = ad_u

units = meter second^-1

grid = u-points

ubar

Vertically-integrated momentum component in the ξ-direction, ${\bar {u}}(\xi ,\eta ,t)$.

${\bar {u}}={\frac {1}{D}}\int _{-h}^{\zeta }u\,H_{z}\,dz$

dimension = ubar(LBi:UBi,LBj:UBj,3)

pointer = OCEAN(ng)%ubar

tangent = tl_ubar

adjoint = ad_ubar

units = meter second^-1

grid = u-points

V

v

3D momentum component in the η-direction, $\,v(\xi ,\eta ,s,t)$.

dimension = v(LBi:UBi,LBj:UBj,N,2)

pointer = OCEAN(ng)%v

tangent = tl_u

adjoint = ad_u

units = meter second^-1

grid = v-points

vbar

Vertically-integrated momentum component in the η-direction, ${\bar {v}}(\xi ,\eta ,t)$.

${\bar {v}}={\frac {1}{D}}\int _{-h}^{\zeta }v\,H_{z}\,dz$

dimension = vbar(LBi:UBi,LBj:UBj,3)

pointer = OCEAN(ng)%vbar

tangent = tl_vbar

adjoint = ad_vbar

units = meter second^-1

grid = v-points

W

W

Terrain-following, vertical velocity component, $\,\Omega (\xi ,\eta ,s,t)\,Hz/mn$.

dimension = W(LBi:UBi,LBj:UBj,0:N)

pointer = OCEAN(ng)%W

tangent = tl_W

adjoint = ad_W

units = meter³ second^-1

grid = w-points

Z

zeta

Free-surface, $\,\zeta (\xi ,\eta ,t)$.

dimension = zeta(LBi:UBi,LBj:UBj,3)

pointer = OCEAN(ng)%zeta

tangent = tl_zeta

adjoint = ad_zeta

units = meter

grid = ρ-points