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Correction of documented units in comments
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  Corrected some units in comments and eliminated some unused variables.
All answers are bitwise identical.
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@Hallberg-NOAA
Hallberg-NOAA committed Nov 15, 2019
1 parent 6e115b7 commit c741390
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Showing 16 changed files with 57 additions and 72 deletions.
6 changes: 3 additions & 3 deletions src/core/MOM_variables.F90
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Expand Up @@ -164,10 +164,10 @@ module MOM_variables
dv_dt_dia => NULL() !< Meridional acceleration due to diapycnal mixing [L T-2 ~> m s-2]
real, pointer, dimension(:,:,:) :: du_other => NULL()
!< Zonal velocity changes due to any other processes that are
!! not due to any explicit accelerations [m s-1].
!! not due to any explicit accelerations [L T-1 ~> m s-1].
real, pointer, dimension(:,:,:) :: dv_other => NULL()
!< Meridional velocity changes due to any other processes that are
!! not due to any explicit accelerations [m s-1].
!< Meridional velocity changes due to any other processes that are
!! not due to any explicit accelerations [L T-1 ~> m s-1].

! These accelerations are sub-terms included in the accelerations above.
real, pointer :: gradKEu(:,:,:) => NULL() !< gradKEu = - d/dx(u2) [L T-2 ~> m s-2]
Expand Down
8 changes: 4 additions & 4 deletions src/diagnostics/MOM_PointAccel.F90
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Expand Up @@ -216,7 +216,7 @@ subroutine write_u_accel(I, j, um, hin, ADp, CDp, dt_in_T, G, GV, US, CS, vel_rp
if (associated(ADp%du_other)) then
write(file,'(/,"du_other: ",$)')
do k=ks,ke ; if (do_k(k)) write(file,'(ES10.3," ",$)') &
(ADp%du_other(I,j,k)); enddo
(US%L_T_to_m_s*ADp%du_other(I,j,k)); enddo
endif
if (present(a)) then
write(file,'(/,"a: ",$)')
Expand Down Expand Up @@ -379,7 +379,7 @@ subroutine write_u_accel(I, j, um, hin, ADp, CDp, dt_in_T, G, GV, US, CS, vel_rp
if (associated(ADp%du_other)) then
write(file,'(/,"du_other: ",$)')
do k=ks,ke ; if (do_k(k)) write(file,'(F10.6," ",$)') &
(ADp%du_other(I,j,k))*Inorm(k); enddo
(US%L_T_to_m_s*ADp%du_other(I,j,k))*Inorm(k); enddo
endif
if (associated(CS%u_accel_bt)) then
write(file,'(/,"dubt: ",$)')
Expand Down Expand Up @@ -553,7 +553,7 @@ subroutine write_v_accel(i, J, vm, hin, ADp, CDp, dt_in_T, G, GV, US, CS, vel_rp
if (associated(ADp%dv_other)) then
write(file,'(/,"dv_other: ",$)')
do k=ks,ke ; if (do_k(k)) write(file,'(ES10.3," ",$)') &
(ADp%dv_other(i,J,k)); enddo
(US%L_T_to_m_s*ADp%dv_other(i,J,k)); enddo
endif
if (present(a)) then
write(file,'(/,"a: ",$)')
Expand Down Expand Up @@ -711,7 +711,7 @@ subroutine write_v_accel(i, J, vm, hin, ADp, CDp, dt_in_T, G, GV, US, CS, vel_rp
if (associated(ADp%dv_other)) then
write(file,'(/,"dv_other: ",$)')
do k=ks,ke ; if (do_k(k)) write(file,'(F10.6," ",$)') &
(ADp%dv_other(i,J,k)*Inorm(k)); enddo
(US%L_T_to_m_s*ADp%dv_other(i,J,k)*Inorm(k)); enddo
endif
if (associated(CS%v_accel_bt)) then
write(file,'(/,"dvbt: ",$)')
Expand Down
6 changes: 3 additions & 3 deletions src/diagnostics/MOM_diagnostics.F90
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Expand Up @@ -693,8 +693,8 @@ end subroutine calculate_diagnostic_fields
!! weights that should be assigned to elements k and k+1.
subroutine find_weights(Rlist, R_in, k, nz, wt, wt_p)
real, dimension(:), &
intent(in) :: Rlist !< The list of target densities [kg m-3]
real, intent(in) :: R_in !< The density being inserted into Rlist [kg m-3]
intent(in) :: Rlist !< The list of target densities [R ~> kg m-3]
real, intent(in) :: R_in !< The density being inserted into Rlist [R ~> kg m-3]
integer, intent(inout) :: k !< The value of k such that Rlist(k) <= R_in < Rlist(k+1)
!! The input value is a first guess
integer, intent(in) :: nz !< The number of layers in Rlist
Expand Down Expand Up @@ -1359,7 +1359,7 @@ subroutine post_transport_diagnostics(G, GV, US, uhtr, vhtr, h, IDs, diag_pre_dy
! [H s-1 ~> m s-1 or kg m-2 s-1].
real :: Idt ! The inverse of the time interval [T-1 ~> s-1]
real :: H_to_kg_m2_dt ! A conversion factor from accumulated transports to fluxes
! [kg L-2 H-1 s-1 ~> kg m-3 s-1 or s-1].
! [kg L-2 H-1 T-1 ~> kg m-3 s-1 or s-1].
integer :: i, j, k, is, ie, js, je, nz
is = G%isc ; ie = G%iec ; js = G%jsc ; je = G%jec ; nz = G%ke

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12 changes: 6 additions & 6 deletions src/parameterizations/lateral/MOM_MEKE.F90
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Expand Up @@ -358,20 +358,20 @@ subroutine step_forward_MEKE(MEKE, h, SN_u, SN_v, visc, dt, G, GV, US, CS, hu, h
! Calculate Laplacian of MEKE
!$OMP parallel do default(shared)
do j=js-1,je+1 ; do I=is-2,ie+1
! Here the units of MEKE_uflux are [L2 T-2].
! Here the units of MEKE_uflux are [L2 T-2 ~> m2 s-2].
MEKE_uflux(I,j) = ((G%dy_Cu(I,j)*G%IdxCu(I,j)) * G%mask2dCu(I,j)) * &
(MEKE%MEKE(i+1,j) - MEKE%MEKE(i,j))
! This would have units of [R Z L2 T-2]
! This would have units of [R Z L2 T-2 ~> kg s-2]
! MEKE_uflux(I,j) = ((G%dy_Cu(I,j)*G%IdxCu(I,j)) * &
! ((2.0*mass(i,j)*mass(i+1,j)) / ((mass(i,j)+mass(i+1,j)) + mass_neglect)) ) * &
! (MEKE%MEKE(i+1,j) - MEKE%MEKE(i,j))
enddo ; enddo
!$OMP parallel do default(shared)
do J=js-2,je+1 ; do i=is-1,ie+1
! Here the units of MEKE_vflux are [L2 T-2].
! Here the units of MEKE_vflux are [L2 T-2 ~> m2 s-2].
MEKE_vflux(i,J) = ((G%dx_Cv(i,J)*G%IdyCv(i,J)) * G%mask2dCv(i,J)) * &
(MEKE%MEKE(i,j+1) - MEKE%MEKE(i,j))
! This would have units of [R Z L2 T-2]
! This would have units of [R Z L2 T-2 ~> kg s-2]
! MEKE_vflux(i,J) = ((G%dx_Cv(i,J)*G%IdyCv(i,J)) * &
! ((2.0*mass(i,j)*mass(i,j+1)) / ((mass(i,j)+mass(i,j+1)) + mass_neglect)) ) * &
! (MEKE%MEKE(i,j+1) - MEKE%MEKE(i,j))
Expand Down Expand Up @@ -436,7 +436,7 @@ subroutine step_forward_MEKE(MEKE, h, SN_u, SN_v, visc, dt, G, GV, US, CS, hu, h
if (Kh_here*Inv_Kh_max > 0.25) Kh_here = 0.25 / Inv_Kh_max
Kh_u(I,j) = Kh_here

! Here the units of MEKE_uflux and MEKE_vflux are [R Z L4 T-3].
! Here the units of MEKE_uflux and MEKE_vflux are [R Z L4 T-3 ~> kg m2 s-3].
MEKE_uflux(I,j) = ((Kh_here * (G%dy_Cu(I,j)*G%IdxCu(I,j))) * &
((2.0*mass(i,j)*mass(i+1,j)) / ((mass(i,j)+mass(i+1,j)) + mass_neglect)) ) * &
(MEKE%MEKE(i,j) - MEKE%MEKE(i+1,j))
Expand All @@ -451,7 +451,7 @@ subroutine step_forward_MEKE(MEKE, h, SN_u, SN_v, visc, dt, G, GV, US, CS, hu, h
if (Kh_here*Inv_Kh_max > 0.25) Kh_here = 0.25 / Inv_Kh_max
Kh_v(i,J) = Kh_here

! Here the units of MEKE_uflux and MEKE_vflux are [R Z L4 T-3].
! Here the units of MEKE_uflux and MEKE_vflux are [R Z L4 T-3 ~> kg m2 s-3].
MEKE_vflux(i,J) = ((Kh_here * (G%dx_Cv(i,J)*G%IdyCv(i,J))) * &
((2.0*mass(i,j)*mass(i,j+1)) / ((mass(i,j)+mass(i,j+1)) + mass_neglect)) ) * &
(MEKE%MEKE(i,j) - MEKE%MEKE(i,j+1))
Expand Down
20 changes: 10 additions & 10 deletions src/parameterizations/lateral/MOM_hor_visc.F90
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Expand Up @@ -85,9 +85,9 @@ module MOM_hor_visc
!! answers from the end of 2018. Otherwise, use updated and more robust
!! forms of the same expressions.
real :: GME_h0 !< The strength of GME tapers quadratically to zero when the bathymetric
!! depth is shallower than GME_H0 [m]
!! depth is shallower than GME_H0 [Z ~> m]
real :: GME_efficiency !< The nondimensional prefactor multiplying the GME coefficient [nondim]
real :: GME_limiter !< The absolute maximum value the GME coefficient is allowed to take [m2 s-1].
real :: GME_limiter !< The absolute maximum value the GME coefficient is allowed to take [L2 T-1 ~> m2 s-1].

real ALLOCABLE_, dimension(NIMEM_,NJMEM_) :: Kh_bg_xx
!< The background Laplacian viscosity at h points [L2 T-1 ~> m2 s-1].
Expand All @@ -101,9 +101,9 @@ module MOM_hor_visc
!< The background biharmonic viscosity at h points [L4 T-1 ~> m4 s-1].
!! The actual viscosity may be the larger of this
!! viscosity and the Smagorinsky and Leith viscosities.
real ALLOCABLE_, dimension(NIMEM_,NJMEM_) :: Biharm5_const2_xx
! real ALLOCABLE_, dimension(NIMEM_,NJMEM_) :: Biharm5_const2_xx
!< A constant relating the biharmonic viscosity to the
!! square of the velocity shear [m4 s]. This value is
!! square of the velocity shear [L4 T ~> m4 s]. This value is
!! set to be the magnitude of the Coriolis terms once the
!! velocity differences reach a value of order 1/2 MAXVEL.
real ALLOCABLE_, dimension(NIMEM_,NJMEM_) :: reduction_xx
Expand All @@ -123,9 +123,9 @@ module MOM_hor_visc
!< The background biharmonic viscosity at q points [L4 T-1 ~> m4 s-1].
!! The actual viscosity may be the larger of this
!! viscosity and the Smagorinsky and Leith viscosities.
real ALLOCABLE_, dimension(NIMEMB_PTR_,NJMEMB_PTR_) :: Biharm5_const2_xy
! real ALLOCABLE_, dimension(NIMEMB_PTR_,NJMEMB_PTR_) :: Biharm5_const2_xy
!< A constant relating the biharmonic viscosity to the
!! square of the velocity shear [m4 s]. This value is
!! square of the velocity shear [L4 T ~> m4 s]. This value is
!! set to be the magnitude of the Coriolis terms once the
!! velocity differences reach a value of order 1/2 MAXVEL.
real ALLOCABLE_, dimension(NIMEMB_PTR_,NJMEMB_PTR_) :: reduction_xy
Expand Down Expand Up @@ -1234,7 +1234,7 @@ subroutine horizontal_viscosity(u, v, h, diffu, diffv, MEKE, VarMix, G, GV, US,

! Make a similar calculation as for FrictWork above but accumulating into
! the vertically integrated MEKE source term, and adjusting for any
! energy loss seen as a reduction in the [biharmonic] frictional source term.
! energy loss seen as a reduction in the (biharmonic) frictional source term.
if (find_FrictWork .and. associated(MEKE)) then ; if (associated(MEKE%mom_src)) then
if (k==1) then
do j=js,je ; do i=is,ie
Expand Down Expand Up @@ -2239,9 +2239,9 @@ subroutine hor_visc_end(CS)
endif
if (CS%Smagorinsky_Ah) then
DEALLOC_(CS%Biharm5_const_xx) ; DEALLOC_(CS%Biharm5_const_xy)
if (CS%bound_Coriolis) then
DEALLOC_(CS%Biharm5_const2_xx) ; DEALLOC_(CS%Biharm5_const2_xy)
endif
! if (CS%bound_Coriolis) then
! DEALLOC_(CS%Biharm5_const2_xx) ; DEALLOC_(CS%Biharm5_const2_xy)
! endif
endif
if (CS%Leith_Ah) then
DEALLOC_(CS%Biharm_const_xx) ; DEALLOC_(CS%Biharm_const_xy)
Expand Down
14 changes: 7 additions & 7 deletions src/parameterizations/lateral/MOM_internal_tides.F90
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Original file line number Diff line number Diff line change
Expand Up @@ -175,7 +175,7 @@ subroutine propagate_int_tide(h, tv, cn, TKE_itidal_input, vel_btTide, Nb, dt, &
test
real, dimension(SZI_(G),SZJ_(G),CS%nFreq,CS%nMode) :: &
tot_En_mode, & ! energy summed over angles only [R Z3 T-2 ~> J m-2]
Ub, & ! near-bottom horizontal velocity of wave (modal) [m s-1]
Ub, & ! near-bottom horizontal velocity of wave (modal) [L T-1 ~> m s-1]
Umax ! Maximum horizontal velocity of wave (modal) [L T-1 ~> m s-1]
real, dimension(SZI_(G),SZJB_(G)) :: &
flux_heat_y, &
Expand All @@ -191,7 +191,7 @@ subroutine propagate_int_tide(h, tv, cn, TKE_itidal_input, vel_btTide, Nb, dt, &
real :: I_D_here ! The inverse of the local depth [Z-1 ~> m-1]
real :: I_rho0 ! The inverse fo the Boussinesq density [R-1 ~> m3 kg-1]
real :: freq2 ! The frequency squared [T-2 ~> s-2]
real :: c_phase ! The phase speed [m s-1]
real :: c_phase ! The phase speed [L T-1 ~> m s-1]
real :: loss_rate ! An energy loss rate [T-1 ~> s-1]
real :: Fr2_max
real :: cn_subRO ! A tiny wave speed to prevent division by zero [L T-1 ~> m s-1]
Expand Down Expand Up @@ -772,8 +772,8 @@ subroutine refract(En, cn, freq, dt, G, US, NAngle, use_PPMang)
real :: f2 ! The squared Coriolis parameter [T-2 ~> s-2].
real :: favg ! The average Coriolis parameter at a point [T-1 ~> s-1].
real :: df_dy, df_dx ! The x- and y- gradients of the Coriolis parameter [T-1 L-1 ~> s-1 m-1].
real :: dlnCn_dx ! The x-gradient of the wave speed divided by itself [m-1].
real :: dlnCn_dy ! The y-gradient of the wave speed divided by itself [m-1].
real :: dlnCn_dx ! The x-gradient of the wave speed divided by itself [L-1 ~> m-1].
real :: dlnCn_dy ! The y-gradient of the wave speed divided by itself [L-1 ~> m-1].
real :: Angle_size, dt_Angle_size, angle
real :: Ifreq, Kmag2, I_Kmag
real :: cn_subRO ! A tiny wave speed to prevent division by zero [L T-1 ~> m s-1]
Expand Down Expand Up @@ -980,7 +980,7 @@ subroutine propagate(En, cn, freq, dt, G, US, CS, NAngle)
cos_angle, sin_angle
real, dimension(NAngle) :: &
Cgx_av, Cgy_av, dCgx, dCgy
real :: f2 ! The squared Coriolis parameter [s-2].
real :: f2 ! The squared Coriolis parameter [T-2 ~> s-2].
real :: Angle_size, I_Angle_size, angle
real :: Ifreq ! The inverse of the frequency [T ~> s]
real :: freq2 ! The frequency squared [T-2 ~> s-2]
Expand Down Expand Up @@ -1367,7 +1367,7 @@ subroutine propagate_x(En, speed_x, Cgx_av, dCgx, dt, G, US, Nangle, CS, LB)
real, dimension(SZI_(G),SZJ_(G)) :: &
EnL, EnR ! Left and right face energy densities [R Z3 T-2 ~> J m-2].
real, dimension(SZIB_(G),SZJ_(G)) :: &
flux_x ! The internal wave energy flux [J s-1].
flux_x ! The internal wave energy flux [J T-1 ~> J s-1].
real, dimension(SZIB_(G)) :: &
cg_p, cg_m, flux1, flux2
!real, dimension(SZI_(G),SZJB_(G),Nangle) :: En_m, En_p
Expand Down Expand Up @@ -1442,7 +1442,7 @@ subroutine propagate_y(En, speed_y, Cgy_av, dCgy, dt, G, US, Nangle, CS, LB)
real, dimension(SZI_(G),SZJ_(G)) :: &
EnL, EnR ! South and north face energy densities [R Z3 T-2 ~> J m-2].
real, dimension(SZI_(G),SZJB_(G)) :: &
flux_y ! The internal wave energy flux [J s-1].
flux_y ! The internal wave energy flux [J T-1 ~> J s-1].
real, dimension(SZI_(G)) :: &
cg_p, cg_m, flux1, flux2
!real, dimension(SZI_(G),SZJB_(G),Nangle) :: En_m, En_p
Expand Down
26 changes: 10 additions & 16 deletions src/parameterizations/lateral/MOM_lateral_mixing_coeffs.F90
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Original file line number Diff line number Diff line change
Expand Up @@ -708,8 +708,8 @@ subroutine calc_QG_Leith_viscosity(CS, G, GV, US, h, k, div_xx_dx, div_xx_dy, vo
type(ocean_grid_type), intent(in) :: G !< Ocean grid structure
type(verticalGrid_type), intent(in) :: GV !< The ocean's vertical grid structure.
type(unit_scale_type), intent(in) :: US !< A dimensional unit scaling type
! real, dimension(SZIB_(G),SZJ_(G),SZK_(G)), intent(in) :: u !< Zonal flow [m s-1]
! real, dimension(SZI_(G),SZJB_(G),SZK_(G)), intent(in) :: v !< Meridional flow [m s-1]
! real, dimension(SZIB_(G),SZJ_(G),SZK_(G)), intent(in) :: u !< Zonal flow [L T-1 ~> m s-1]
! real, dimension(SZI_(G),SZJB_(G),SZK_(G)), intent(in) :: v !< Meridional flow [L T-1 ~> m s-1]
real, dimension(SZI_(G),SZJ_(G),SZK_(G)), intent(inout) :: h !< Layer thickness [H ~> m or kg m-2]
integer, intent(in) :: k !< Layer for which to calculate vorticity magnitude
real, dimension(SZIB_(G),SZJ_(G)), intent(in) :: div_xx_dx !< x-derivative of horizontal divergence
Expand All @@ -721,38 +721,31 @@ subroutine calc_QG_Leith_viscosity(CS, G, GV, US, h, k, div_xx_dx, div_xx_dy, vo
real, dimension(SZIB_(G),SZJ_(G)), intent(inout) :: vort_xy_dy !< y-derivative of vertical vorticity
!! (d/dy(dv/dx - du/dy)) [L-1 T-1 ~> m-1 s-1]
! real, dimension(SZI_(G),SZJ_(G)), intent(out) :: Leith_Kh_h !< Leith Laplacian viscosity
!! at h-points [m2 s-1]
!! at h-points [L2 T-1 ~> m2 s-1]
! real, dimension(SZIB_(G),SZJB_(G)), intent(out) :: Leith_Kh_q !< Leith Laplacian viscosity
!! at q-points [m2 s-1]
!! at q-points [L2 T-1 ~> m2 s-1]
! real, dimension(SZI_(G),SZJ_(G)), intent(out) :: Leith_Ah_h !< Leith bi-harmonic viscosity
!! at h-points [m4 s-1]
!! at h-points [L4 T-1 ~> m4 s-1]
! real, dimension(SZIB_(G),SZJB_(G)), intent(out) :: Leith_Ah_q !< Leith bi-harmonic viscosity
!! at q-points [m4 s-1]
!! at q-points [L4 T-1 ~> m4 s-1]

! Local variables
! real, dimension(SZIB_(G),SZJB_(G)) :: vort_xy, & ! Vertical vorticity (dv/dx - du/dy) [s-1]
! dudy, & ! Meridional shear of zonal velocity [s-1]
! dvdx ! Zonal shear of meridional velocity [s-1]
real, dimension(SZI_(G),SZJB_(G)) :: &
! vort_xy_dx, & ! x-derivative of vertical vorticity (d/dx(dv/dx - du/dy)) [L-1 T-1 ~> m-1 s-1]
! div_xx_dy, & ! y-derivative of horizontal divergence (d/dy(du/dx + dv/dy)) [L-1 T-1 ~> m-1 s-1]
dslopey_dz, & ! z-derivative of y-slope at v-points [Z-1 ~> m-1]
h_at_v, & ! Thickness at v-points [H ~> m or kg m-2]
beta_v, & ! Beta at v-points [T-1 L-1 ~> s-1 m-1]
grad_vort_mag_v, & ! Magnitude of vorticity gradient at v-points [T-1 L-1 ~> s-1 m-1]
grad_div_mag_v ! Magnitude of divergence gradient at v-points [T-1 L-1 ~> s-1 m-1]

real, dimension(SZIB_(G),SZJ_(G)) :: &
! vort_xy_dy, & ! y-derivative of vertical vorticity (d/dy(dv/dx - du/dy)) [L-1 T-1 ~> m-1 s-1]
! div_xx_dx, & ! x-derivative of horizontal divergence (d/dx(du/dx + dv/dy)) [L-1 T-1 ~> m-1 s-1]
dslopex_dz, & ! z-derivative of x-slope at u-points [Z-1 ~> m-1]
h_at_u, & ! Thickness at u-points [H ~> m or kg m-2]
beta_u, & ! Beta at u-points [T-1 L-1 ~> s-1 m-1]
grad_vort_mag_u, & ! Magnitude of vorticity gradient at u-points [T-1 L-1 ~> s-1 m-1]
grad_div_mag_u ! Magnitude of divergence gradient at u-points [T-1 L-1 ~> s-1 m-1]
! real, dimension(SZI_(G),SZJ_(G)) :: div_xx ! Estimate of horizontal divergence at h-points [s-1]
! real :: mod_Leith, DY_dxBu, DX_dyBu, vert_vort_mag
real :: h_at_slope_above, h_at_slope_below, Ih
real :: h_at_slope_above ! The thickness above [H ~> m or kg m-2]
real :: h_at_slope_below ! The thickness below [H ~> m or kg m-2]
real :: Ih ! The inverse of a combination of thicknesses [H-1 ~> m-1 or m2 kg-1]
real :: f ! A copy of the Coriolis parameter [T-1 ~> s-1]
integer :: i, j, is, ie, js, je, Isq, Ieq, Jsq, Jeq,nz
real :: inv_PI3
Expand Down Expand Up @@ -1052,6 +1045,7 @@ subroutine VarMix_init(Time, G, GV, US, param_file, diag, CS)
'Square of Brunt-Vaisala frequency, N^2, at u-points, as used in Visbeck et al.', 's-2')
CS%id_N2_v = register_diag_field('ocean_model', 'N2_v', diag%axesCvi, Time, &
'Square of Brunt-Vaisala frequency, N^2, at v-points, as used in Visbeck et al.', 's-2')
!### The units of the next two diagnostics should be 'nondim'.
CS%id_S2_u = register_diag_field('ocean_model', 'S2_u', diag%axesCu1, Time, &
'Depth average square of slope magnitude, S^2, at u-points, as used in Visbeck et al.', 's-2')
CS%id_S2_v = register_diag_field('ocean_model', 'S2_v', diag%axesCv1, Time, &
Expand Down
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