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5 changes: 3 additions & 2 deletions src/initialization/MOM_state_initialization.F90
Original file line number Diff line number Diff line change
Expand Up @@ -343,7 +343,8 @@ subroutine MOM_initialize_state(u, v, h, tv, Time, G, GV, US, PF, dirs, &
just_read=just_read)
case ("dumbbell"); call dumbbell_initialize_thickness(dz, depth_tot, G, GV, US, PF, &
just_read=just_read)
case ("soliton"); call soliton_initialize_thickness(dz, depth_tot, G, GV, US)
case ("soliton"); call soliton_initialize_thickness(dz, depth_tot, G, GV, US, PF, &
just_read=just_read)
case ("phillips"); call Phillips_initialize_thickness(dz, depth_tot, G, GV, US, PF, &
just_read=just_read)
case ("rossby_front")
Expand Down Expand Up @@ -508,7 +509,7 @@ subroutine MOM_initialize_state(u, v, h, tv, Time, G, GV, US, PF, dirs, &
case ("phillips"); call Phillips_initialize_velocity(u, v, G, GV, US, PF, just_read)
case ("rossby_front"); call Rossby_front_initialize_velocity(u, v, h, &
G, GV, US, PF, just_read)
case ("soliton"); call soliton_initialize_velocity(u, v, G, GV, US)
case ("soliton"); call soliton_initialize_velocity(u, v, G, GV, US, PF, just_read)
case ("USER"); call user_initialize_velocity(u, v, G, GV, US, PF, just_read)
case default ; call MOM_error(FATAL, "MOM_initialize_state: "//&
"Unrecognized velocity configuration "//trim(config))
Expand Down
108 changes: 91 additions & 17 deletions src/user/soliton_initialization.F90
Original file line number Diff line number Diff line change
Expand Up @@ -26,73 +26,147 @@ module soliton_initialization

contains

!> Initialization of thicknesses in Equatorial Rossby soliton test
subroutine soliton_initialize_thickness(h, depth_tot, G, GV, US)
!> Initialization of thicknesses in equatorial Rossby soliton test, as described in section
!! 6.1 of Haidvogel and Beckman (1990) and in Boyd (1980, JPO) and Boyd (1985, JPO).
subroutine soliton_initialize_thickness(h, depth_tot, G, GV, US, param_file, just_read)
type(ocean_grid_type), intent(in) :: G !< The ocean's 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(SZI_(G),SZJ_(G),SZK_(GV)), &
intent(out) :: h !< The thickness that is being initialized [Z ~> m]
real, dimension(SZI_(G),SZJ_(G)), &
intent(in) :: depth_tot !< The nominal total depth of the ocean [Z ~> m]
type(param_file_type), intent(in) :: param_file !< A structure indicating the open file
!! to parse for model parameter values.
logical, intent(in) :: just_read !< If true, this call will only read
!! parameters without changing h.

! Local variables
real :: max_depth ! Maximum depth of the model bathymetry [Z ~> m]
real :: cg_max ! The external wave speed based on max_depth [L T-1 ~> m s-1]
real :: beta ! The meridional gradient of the Coriolis parameter [T-1 L-1 ~> s-1 m-1]
real :: L_eq ! The equatorial deformation radius used in nondimensionalizing this problem [L ~> m]
real :: scale_pos ! A conversion factor to nondimensionalize the axis units, usually [m-1]
real :: x0 ! Initial x-position of the soliton in the same units as geoLonT, often [m].
real :: y0 ! Initial y-position of the soliton in the same units as geoLatT, often [m].
real :: x, y ! Nondimensionalized positions [nondim]
real :: I_nz ! The inverse of the number of layers [nondim]
real :: val1 ! A nondimensionlized zonal decay scale [nondim]
real :: val2 ! An overall surface height anomaly amplitude [L T-1 ~> m s-1]
real :: val3 ! A decay factor [nondim]
real :: val4 ! The local velocity amplitude [L T-1 ~> m s-1]
! This include declares and sets the variable "version".
# include "version_variable.h"
integer :: i, j, k, is, ie, js, je, nz
real :: x, y, x0, y0
real :: val1, val2, val3, val4

is = G%isc ; ie = G%iec ; js = G%jsc ; je = G%jec ; nz = GV%ke

call MOM_mesg("soliton_initialization.F90, soliton_initialize_thickness: setting thickness")
if (.not.just_read) &
call MOM_mesg("soliton_initialization.F90, soliton_initialize_thickness: setting thickness")

if (.not.just_read) call log_version(param_file, mdl, version, "")
call get_param(param_file, mdl, "MAXIMUM_DEPTH", max_depth, &
units="m", default=-1.e9, scale=US%m_to_Z, do_not_log=.true.)
call get_param(param_file, mdl, "BETA", beta, &
"The northward gradient of the Coriolis parameter with the betaplane option.", &
units="m-1 s-1", default=0.0, scale=US%T_to_s*US%L_to_m, do_not_log=.true.)

if (just_read) return ! All run-time parameters have been read, so return.

if (max_depth <= 0.0) call MOM_error(FATAL, &
"soliton_initialization, soliton_initialize_thickness: "//&
"This module requires a positive value of MAXIMUM_DEPTH.")
if (abs(beta) <= 0.0) call MOM_error(FATAL, &
"soliton_initialization, soliton_initialize_thickness: "//&
"This module requires a non-zero value of BETA.")

cg_max = sqrt(GV%g_Earth * max_depth)
L_eq = sqrt(cg_max / abs(beta))
scale_pos = US%m_to_L / L_eq
I_nz = 1.0 / real(nz)

x0 = 2.0*G%len_lon/3.0
y0 = 0.0
val1 = 0.395
val2 = US%m_to_Z * 0.771*(val1*val1)
val2 = max_depth * 0.771*(val1*val1)

do j = G%jsc,G%jec ; do i = G%isc,G%iec
do k = 1, nz
x = G%geoLonT(i,j)-x0
y = G%geoLatT(i,j)-y0
x = (G%geoLonT(i,j)-x0) * scale_pos
y = (G%geoLatT(i,j)-y0) * scale_pos
val3 = exp(-val1*x)
val4 = val2 * ( 2.0*val3 / (1.0 + (val3*val3)) )**2
h(i,j,k) = (0.25*val4*(6.0*y*y + 3.0) * exp(-0.5*y*y) + depth_tot(i,j))
h(i,j,k) = (0.25*val4*(6.0*y*y + 3.0) * exp(-0.5*y*y) + depth_tot(i,j)) * I_nz
enddo
enddo ; enddo

end subroutine soliton_initialize_thickness


!> Initialization of u and v in the equatorial Rossby soliton test
subroutine soliton_initialize_velocity(u, v, G, GV, US)
!> Initialization of u and v in the equatorial Rossby soliton test, as described in section
!! 6.1 of Haidvogel and Beckman (1990) and in Boyd (1980, JPO) and Boyd (1985, JPO).
subroutine soliton_initialize_velocity(u, v, G, GV, US, param_file, just_read)
type(ocean_grid_type), intent(in) :: G !< Grid structure
type(verticalGrid_type), intent(in) :: GV !< The ocean's vertical grid structure
real, dimension(SZIB_(G),SZJ_(G),SZK_(GV)), intent(out) :: u !< i-component of velocity [L T-1 ~> m s-1]
real, dimension(SZI_(G),SZJB_(G),SZK_(GV)), intent(out) :: v !< j-component of velocity [L T-1 ~> m s-1]
type(unit_scale_type), intent(in) :: US !< A dimensional unit scaling type
type(param_file_type), intent(in) :: param_file !< A structure indicating the open file
!! to parse for model parameter values.
logical, intent(in) :: just_read !< If true, this call will only read
!! parameters without changing h.

! Local variables
real :: x, x0 ! Positions in the same units as geoLonT.
real :: y, y0 ! Positions in the same units as geoLatT.
real :: val1 ! A zonal decay scale in the inverse of the units of geoLonT.
real :: max_depth ! Maximum depth of the model bathymetry [Z ~> m]
real :: cg_max ! The external wave speed based on max_depth [L T-1 ~> m s-1]
real :: beta ! The meridional gradient of the Coriolis parameter [T-1 L-1 ~> s-1 m-1]
real :: L_eq ! The equatorial deformation radius used in nondimensionalizing this problem [L ~> m]
real :: scale_pos ! A conversion factor to nondimensionalize the axis units, usually [m-1]
real :: x0 ! Initial x-position of the soliton in the same units as geoLonT, often [m].
real :: y0 ! Initial y-position of the soliton in the same units as geoLatT, often [m].
real :: x, y ! Nondimensionalized positions [nondim]
real :: val1 ! A nondimensionlized zonal decay scale [nondim]
real :: val2 ! An overall velocity amplitude [L T-1 ~> m s-1]
real :: val3 ! A decay factor [nondim]
real :: val4 ! The local velocity amplitude [L T-1 ~> m s-1]
integer :: i, j, k, is, ie, js, je, nz

is = G%isc ; ie = G%iec ; js = G%jsc ; je = G%jec ; nz = GV%ke

if (.not.just_read) &
call MOM_mesg("soliton_initialization.F90, soliton_initialize_thickness: setting thickness")

call get_param(param_file, mdl, "MAXIMUM_DEPTH", max_depth, &
units="m", default=-1.e9, scale=US%m_to_Z, do_not_log=.true.)
call get_param(param_file, mdl, "BETA", beta, &
"The northward gradient of the Coriolis parameter with the betaplane option.", &
units="m-1 s-1", default=0.0, scale=US%T_to_s*US%L_to_m, do_not_log=.true.)

if (just_read) return ! All run-time parameters have been read, so return.

if (max_depth <= 0.0) call MOM_error(FATAL, &
"soliton_initialization, soliton_initialize_velocity: "//&
"This module requires a positive value of MAXIMUM_DEPTH.")
if (abs(beta) <= 0.0) call MOM_error(FATAL, &
"soliton_initialization, soliton_initialize_velocity: "//&
"This module requires a non-zero value of BETA.")

cg_max = sqrt(GV%g_Earth * max_depth)
L_eq = sqrt(cg_max / abs(beta))
scale_pos = US%m_to_L / L_eq

x0 = 2.0*G%len_lon/3.0
y0 = 0.0
val1 = 0.395
val2 = US%m_s_to_L_T * 0.771*(val1*val1)
val2 = cg_max * 0.771*(val1*val1)

v(:,:,:) = 0.0
u(:,:,:) = 0.0

do j = G%jsc,G%jec ; do I = G%isc-1,G%iec+1
do k = 1, nz
x = 0.5*(G%geoLonT(i+1,j)+G%geoLonT(i,j))-x0
y = 0.5*(G%geoLatT(i+1,j)+G%geoLatT(i,j))-y0
x = (0.5*(G%geoLonT(i+1,j)+G%geoLonT(i,j))-x0) * scale_pos
y = (0.5*(G%geoLatT(i+1,j)+G%geoLatT(i,j))-y0) * scale_pos
val3 = exp(-val1*x)
val4 = val2*((2.0*val3/(1.0+(val3*val3)))**2)
u(I,j,k) = 0.25*val4*(6.0*y*y-9.0) * exp(-0.5*y*y)
Expand Down