MODULE mod_ocean
!
!git $Id$
!svn $Id: mod_ocean.F 1178 2023-07-11 17:50:57Z arango $
!================================================== Hernan G. Arango ===
!  Copyright (c) 2002-2023 The ROMS/TOMS Group                         !
!    Licensed under a MIT/X style license                              !
!    See License_ROMS.md                                               !
!=======================================================================
!                                                                      !
!  2D Primitive Variables.                                             !
!                                                                      !
!  rubar        Right-hand-side of 2D U-momentum equation (m4/s2).     !
!  rvbar        Right-hand-side of 2D V-momentum equation (m4/s2).     !
!  rzeta        Right-hand-side of free surface equation (m3/s).       !
!  ubar         Vertically integrated U-momentum component (m/s).      !
!  vbar         Vertically integrated V-momentum component (m/s).      !
!  zeta         Free surface (m).                                      !
!                                                                      !
!  3D Primitive Variables.                                             !
!                                                                      !
!  pden         Potential Density anomaly (kg/m3).                     !
!  rho          Density anomaly (kg/m3).                               !
!  ru           Right-hand-side of 3D U-momentum equation (m4/s2).     !
!  rv           Right hand side of 3D V-momentum equation (m4/s2).     !
!  t            Tracer type variables (active and passive).            !
!  u            3D U-momentum component (m/s).                         !
!  v            3D V-momentum component (m/s).                         !
!  W            S-coordinate (omega*Hz/mn) vertical velocity (m3/s).   !
!                                                                      !
!=======================================================================
!
        USE mod_kinds
!
        implicit none
!
        PUBLIC :: allocate_ocean
        PUBLIC :: deallocate_ocean
        PUBLIC :: initialize_ocean
!
!-----------------------------------------------------------------------
!  Define T_OCEAN structure.
!-----------------------------------------------------------------------
!
        TYPE T_OCEAN
!
!  Nonlinear model state.
!
          real(r8), pointer :: rubar(:,:,:)
          real(r8), pointer :: rvbar(:,:,:)
          real(r8), pointer :: rzeta(:,:,:)
          real(r8), pointer :: ubar(:,:,:)
          real(r8), pointer :: vbar(:,:,:)
          real(r8), pointer :: zeta(:,:,:)
          real(r8), pointer :: pden(:,:,:)
          real(r8), pointer :: rho(:,:,:)
          real(r8), pointer :: ru(:,:,:,:)
          real(r8), pointer :: rv(:,:,:,:)
          real(r8), pointer :: t(:,:,:,:,:)
          real(r8), pointer :: u(:,:,:,:)
          real(r8), pointer :: v(:,:,:,:)
          real(r8), pointer :: W(:,:,:)
          real(r8), pointer :: wvel(:,:,:)
!
!  Tangent linear model state.
!
          real(r8), pointer :: tl_rubar(:,:,:)
          real(r8), pointer :: tl_rvbar(:,:,:)
          real(r8), pointer :: tl_rzeta(:,:,:)
          real(r8), pointer :: tl_ubar(:,:,:)
          real(r8), pointer :: tl_vbar(:,:,:)
          real(r8), pointer :: tl_zeta(:,:,:)
          real(r8), pointer :: tl_pden(:,:,:)
          real(r8), pointer :: tl_rho(:,:,:)
          real(r8), pointer :: tl_ru(:,:,:,:)
          real(r8), pointer :: tl_rv(:,:,:,:)
          real(r8), pointer :: tl_t(:,:,:,:,:)
          real(r8), pointer :: tl_u(:,:,:,:)
          real(r8), pointer :: tl_v(:,:,:,:)
          real(r8), pointer :: tl_W(:,:,:)
!
!  Adjoint model state.
!
          real(r8), pointer :: ad_rubar(:,:,:)
          real(r8), pointer :: ad_rvbar(:,:,:)
          real(r8), pointer :: ad_rzeta(:,:,:)
          real(r8), pointer :: ad_ubar(:,:,:)
          real(r8), pointer :: ad_vbar(:,:,:)
          real(r8), pointer :: ad_zeta(:,:,:)
          real(r8), pointer :: ad_ubar_sol(:,:)
          real(r8), pointer :: ad_vbar_sol(:,:)
          real(r8), pointer :: ad_zeta_sol(:,:)
          real(r8), pointer :: ad_pden(:,:,:)
          real(r8), pointer :: ad_rho(:,:,:)
          real(r8), pointer :: ad_ru(:,:,:,:)
          real(r8), pointer :: ad_rv(:,:,:,:)
          real(r8), pointer :: ad_t(:,:,:,:,:)
          real(r8), pointer :: ad_u(:,:,:,:)
          real(r8), pointer :: ad_v(:,:,:,:)
          real(r8), pointer :: ad_W(:,:,:)
          real(r8), pointer :: ad_wvel(:,:,:)
          real(r8), pointer :: ad_t_sol(:,:,:,:)
          real(r8), pointer :: ad_u_sol(:,:,:)
          real(r8), pointer :: ad_v_sol(:,:,:)
          real(r8), pointer :: ad_W_sol(:,:,:)
!
!  Working arrays to store adjoint impulse forcing, error covariance,
!  standard deviations, or descent conjugate vectors (directions).
!
          real(r8), pointer :: b_ubar(:,:,:)
          real(r8), pointer :: b_vbar(:,:,:)
          real(r8), pointer :: b_zeta(:,:,:)
          real(r8), pointer :: b_t(:,:,:,:,:)
          real(r8), pointer :: b_u(:,:,:,:)
          real(r8), pointer :: b_v(:,:,:,:)
          real(r8), pointer :: d_ubar(:,:)
          real(r8), pointer :: d_vbar(:,:)
          real(r8), pointer :: d_zeta(:,:)
          real(r8), pointer :: d_t(:,:,:,:)
          real(r8), pointer :: d_u(:,:,:)
          real(r8), pointer :: d_v(:,:,:)
          real(r8), pointer :: e_ubar(:,:,:)
          real(r8), pointer :: e_vbar(:,:,:)
          real(r8), pointer :: e_zeta(:,:,:)
          real(r8), pointer :: e_t(:,:,:,:,:)
          real(r8), pointer :: e_u(:,:,:,:)
          real(r8), pointer :: e_v(:,:,:,:)
          real(r8), pointer :: f_ubar(:,:)
          real(r8), pointer :: f_vbar(:,:)
          real(r8), pointer :: f_zeta(:,:)
          real(r8), pointer :: f_t(:,:,:,:)
          real(r8), pointer :: f_u(:,:,:)
          real(r8), pointer :: f_v(:,:,:)
!
!  Latest two records of the nonlinear trajectory used to interpolate
!  the background state in the tangent linear and adjoint models.
!
          real(r8), pointer :: ubarG(:,:,:)
          real(r8), pointer :: vbarG(:,:,:)
          real(r8), pointer :: zetaG(:,:,:)
          real(r8), pointer :: tG(:,:,:,:,:)
          real(r8), pointer :: uG(:,:,:,:)
          real(r8), pointer :: vG(:,:,:,:)
          real(r8), pointer :: f_zetaG(:,:,:)
          real(r8), pointer :: f_tG(:,:,:,:,:)
          real(r8), pointer :: f_uG(:,:,:,:)
          real(r8), pointer :: f_vG(:,:,:,:)
          real(r8), pointer :: f_ubarG(:,:,:)
          real(r8), pointer :: f_vbarG(:,:,:)
        END TYPE T_OCEAN
!
        TYPE (T_OCEAN), allocatable :: OCEAN(:)
!
      CONTAINS
!
      SUBROUTINE allocate_ocean (ng, LBi, UBi, LBj, UBj)
!
!=======================================================================
!                                                                      !
!  This routine allocates all variables in the module for all nested   !
!  grids.                                                              !
!                                                                      !
!=======================================================================
!
      USE mod_param
!
!  Imported variable declarations.
!
      integer, intent(in) :: ng, LBi, UBi, LBj, UBj
!
!  Local variable declarations.
!
      real(r8) :: size2d
!
!-----------------------------------------------------------------------
!  Allocate and initialize module variables.
!-----------------------------------------------------------------------
!
      IF (ng.eq.1) allocate ( OCEAN(Ngrids) )
!
!  Set horizontal array size.
!
      size2d=REAL((UBi-LBi+1)*(UBj-LBj+1),r8)
!
!  Nonlinear model state.
!
      allocate ( OCEAN(ng) % rubar(LBi:UBi,LBj:UBj,2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*size2d
      allocate ( OCEAN(ng) % rvbar(LBi:UBi,LBj:UBj,2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*size2d
      allocate ( OCEAN(ng) % rzeta(LBi:UBi,LBj:UBj,2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*size2d
      allocate ( OCEAN(ng) % ubar(LBi:UBi,LBj:UBj,3) )
      Dmem(ng)=Dmem(ng)+3.0_r8*size2d
      allocate ( OCEAN(ng) % vbar(LBi:UBi,LBj:UBj,3) )
      Dmem(ng)=Dmem(ng)+3.0_r8*size2d
      allocate ( OCEAN(ng) % zeta(LBi:UBi,LBj:UBj,3) )
      Dmem(ng)=Dmem(ng)+3.0_r8*size2d
      allocate ( OCEAN(ng) % pden(LBi:UBi,LBj:UBj,N(ng)) )
      Dmem(ng)=Dmem(ng)+REAL(N(ng),r8)*size2d
      allocate ( OCEAN(ng) % rho(LBi:UBi,LBj:UBj,N(ng)) )
      Dmem(ng)=Dmem(ng)+REAL(N(ng),r8)*size2d
      allocate ( OCEAN(ng) % ru(LBi:UBi,LBj:UBj,0:N(ng),2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*REAL(N(ng)+1,r8)*size2d
      allocate ( OCEAN(ng) % rv(LBi:UBi,LBj:UBj,0:N(ng),2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*REAL(N(ng)+1,r8)*size2d
      allocate ( OCEAN(ng) % t(LBi:UBi,LBj:UBj,N(ng),3,NT(ng)) )
      Dmem(ng)=Dmem(ng)+3.0_r8*REAL(N(ng)*NT(ng),r8)*size2d
      allocate ( OCEAN(ng) % u(LBi:UBi,LBj:UBj,N(ng),2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*REAL(N(ng),r8)*size2d
      allocate ( OCEAN(ng) % v(LBi:UBi,LBj:UBj,N(ng),2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*REAL(N(ng),r8)*size2d
      allocate ( OCEAN(ng) % W(LBi:UBi,LBj:UBj,0:N(ng)) )
      Dmem(ng)=Dmem(ng)+REAL(N(ng)+1,r8)*size2d
      allocate ( OCEAN(ng) % wvel(LBi:UBi,LBj:UBj,0:N(ng)) )
      Dmem(ng)=Dmem(ng)+REAL(N(ng)+1,r8)*size2d
!
!  Tangent linear model state.
!
      allocate ( OCEAN(ng) % tl_rubar(LBi:UBi,LBj:UBj,2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*size2d
      allocate ( OCEAN(ng) % tl_rvbar(LBi:UBi,LBj:UBj,2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*size2d
      allocate ( OCEAN(ng) % tl_rzeta(LBi:UBi,LBj:UBj,2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*size2d
      allocate ( OCEAN(ng) % tl_ubar(LBi:UBi,LBj:UBj,3) )
      Dmem(ng)=Dmem(ng)+3.0_r8*size2d
      allocate ( OCEAN(ng) % tl_vbar(LBi:UBi,LBj:UBj,3) )
      Dmem(ng)=Dmem(ng)+3.0_r8*size2d
      allocate ( OCEAN(ng) % tl_zeta(LBi:UBi,LBj:UBj,3) )
      Dmem(ng)=Dmem(ng)+3.0_r8*size2d
      allocate ( OCEAN(ng) % tl_pden(LBi:UBi,LBj:UBj,N(ng)) )
      Dmem(ng)=Dmem(ng)+REAL(N(ng),r8)*size2d
      allocate ( OCEAN(ng) % tl_rho(LBi:UBi,LBj:UBj,N(ng)) )
      Dmem(ng)=Dmem(ng)+REAL(N(ng),r8)*size2d
      allocate ( OCEAN(ng) % tl_ru(LBi:UBi,LBj:UBj,0:N(ng),2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*REAL(N(ng)+1,r8)*size2d
      allocate ( OCEAN(ng) % tl_rv(LBi:UBi,LBj:UBj,0:N(ng),2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*REAL(N(ng)+1,r8)*size2d
      allocate ( OCEAN(ng) % tl_t(LBi:UBi,LBj:UBj,N(ng),3,NT(ng)) )
      Dmem(ng)=Dmem(ng)+3.0_r8*REAL(N(ng)*NT(ng),r8)*size2d
      allocate ( OCEAN(ng) % tl_u(LBi:UBi,LBj:UBj,N(ng),2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*REAL(N(ng),r8)*size2d
      allocate ( OCEAN(ng) % tl_v(LBi:UBi,LBj:UBj,N(ng),2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*REAL(N(ng),r8)*size2d
      allocate ( OCEAN(ng) % tl_W(LBi:UBi,LBj:UBj,0:N(ng)) )
      Dmem(ng)=Dmem(ng)+REAL(N(ng)+1,r8)*size2d
!
!  Adjoint model state.
!
      allocate ( OCEAN(ng) % ad_rubar(LBi:UBi,LBj:UBj,2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*size2d
      allocate ( OCEAN(ng) % ad_rvbar(LBi:UBi,LBj:UBj,2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*size2d
      allocate ( OCEAN(ng) % ad_rzeta(LBi:UBi,LBj:UBj,2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*size2d
      allocate ( OCEAN(ng) % ad_ubar(LBi:UBi,LBj:UBj,3) )
      Dmem(ng)=Dmem(ng)+3.0_r8*size2d
      allocate ( OCEAN(ng) % ad_vbar(LBi:UBi,LBj:UBj,3) )
      Dmem(ng)=Dmem(ng)+3.0_r8*size2d
      allocate ( OCEAN(ng) % ad_zeta(LBi:UBi,LBj:UBj,3) )
      Dmem(ng)=Dmem(ng)+3.0_r8*size2d
      allocate ( OCEAN(ng) % ad_ubar_sol(LBi:UBi,LBj:UBj) )
      Dmem(ng)=Dmem(ng)+size2d
      allocate ( OCEAN(ng) % ad_vbar_sol(LBi:UBi,LBj:UBj) )
      Dmem(ng)=Dmem(ng)+size2d
      allocate ( OCEAN(ng) % ad_zeta_sol(LBi:UBi,LBj:UBj) )
      Dmem(ng)=Dmem(ng)+size2d
      allocate ( OCEAN(ng) % ad_pden(LBi:UBi,LBj:UBj,N(ng)) )
      Dmem(ng)=Dmem(ng)+REAL(N(ng),r8)*size2d
      allocate ( OCEAN(ng) % ad_rho(LBi:UBi,LBj:UBj,N(ng)) )
      Dmem(ng)=Dmem(ng)+REAL(N(ng),r8)*size2d
      allocate ( OCEAN(ng) % ad_ru(LBi:UBi,LBj:UBj,0:N(ng),2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*REAL(N(ng)+1,r8)*size2d
      allocate ( OCEAN(ng) % ad_rv(LBi:UBi,LBj:UBj,0:N(ng),2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*REAL(N(ng)+1,r8)*size2d
      allocate ( OCEAN(ng) % ad_t(LBi:UBi,LBj:UBj,N(ng),3,NT(ng)) )
      Dmem(ng)=Dmem(ng)+3.0_r8*REAL(N(ng)*NT(ng),r8)*size2d
      allocate ( OCEAN(ng) % ad_u(LBi:UBi,LBj:UBj,N(ng),2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*REAL(N(ng),r8)*size2d
      allocate ( OCEAN(ng) % ad_v(LBi:UBi,LBj:UBj,N(ng),2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*REAL(N(ng),r8)*size2d
      allocate ( OCEAN(ng) % ad_W(LBi:UBi,LBj:UBj,0:N(ng)) )
      Dmem(ng)=Dmem(ng)+REAL(N(ng)+1,r8)*size2d
      allocate ( OCEAN(ng) % ad_wvel(LBi:UBi,LBj:UBj,0:N(ng)) )
      Dmem(ng)=Dmem(ng)+REAL(N(ng)+1,r8)*size2d
      allocate ( OCEAN(ng) % ad_t_sol(LBi:UBi,LBj:UBj,N(ng),NT(ng)) )
      Dmem(ng)=Dmem(ng)+REAL(N(ng)*NT(ng),r8)*size2d
      allocate ( OCEAN(ng) % ad_u_sol(LBi:UBi,LBj:UBj,N(ng)) )
      Dmem(ng)=Dmem(ng)+REAL(N(ng),r8)*size2d
      allocate ( OCEAN(ng) % ad_v_sol(LBi:UBi,LBj:UBj,N(ng)) )
      Dmem(ng)=Dmem(ng)+REAL(N(ng),r8)*size2d
      allocate ( OCEAN(ng) % ad_W_sol(LBi:UBi,LBj:UBj,0:N(ng)) )
      Dmem(ng)=Dmem(ng)+REAL(N(ng)+1,r8)*size2d
!
!  Working arrays to store adjoint impulse forcing, background error
!  covariance, background-error standard deviations, or descent
!  conjugate vectors (directions).
!
      allocate ( OCEAN(ng) % b_ubar(LBi:UBi,LBj:UBj,NSA) )
      Dmem(ng)=Dmem(ng)+REAL(NSA,r8)*size2d
      allocate ( OCEAN(ng) % b_vbar(LBi:UBi,LBj:UBj,NSA) )
      Dmem(ng)=Dmem(ng)+REAL(NSA,r8)*size2d
      allocate ( OCEAN(ng) % b_zeta(LBi:UBi,LBj:UBj,NSA) )
      Dmem(ng)=Dmem(ng)+REAL(NSA,r8)*size2d
      allocate ( OCEAN(ng) % b_t(LBi:UBi,LBj:UBj,N(ng),NSA,NT(ng)) )
      Dmem(ng)=Dmem(ng)+REAL(N(ng)*NT(ng)*NSA,r8)*size2d
      allocate ( OCEAN(ng) % b_u(LBi:UBi,LBj:UBj,N(ng),NSA) )
      Dmem(ng)=Dmem(ng)+REAL(N(ng)*NSA,r8)*size2d
      allocate ( OCEAN(ng) % b_v(LBi:UBi,LBj:UBj,N(ng),NSA) )
      Dmem(ng)=Dmem(ng)+REAL(N(ng)*NSA,r8)*size2d
      allocate ( OCEAN(ng) % d_ubar(LBi:UBi,LBj:UBj) )
      Dmem(ng)=Dmem(ng)+size2d
      allocate ( OCEAN(ng) % d_vbar(LBi:UBi,LBj:UBj) )
      Dmem(ng)=Dmem(ng)+size2d
      allocate ( OCEAN(ng) % d_zeta(LBi:UBi,LBj:UBj) )
      Dmem(ng)=Dmem(ng)+size2d
      allocate ( OCEAN(ng) % d_t(LBi:UBi,LBj:UBj,N(ng),NT(ng)) )
      Dmem(ng)=Dmem(ng)+REAL(N(ng)*NT(ng),r8)*size2d
      allocate ( OCEAN(ng) % d_u(LBi:UBi,LBj:UBj,N(ng)) )
      Dmem(ng)=Dmem(ng)+REAL(N(ng),r8)*size2d
      allocate ( OCEAN(ng) % d_v(LBi:UBi,LBj:UBj,N(ng)) )
      Dmem(ng)=Dmem(ng)+REAL(N(ng),r8)*size2d
      allocate ( OCEAN(ng) % e_ubar(LBi:UBi,LBj:UBj,NSA) )
      Dmem(ng)=Dmem(ng)+REAL(NSA,r8)*size2d
      allocate ( OCEAN(ng) % e_vbar(LBi:UBi,LBj:UBj,NSA) )
      Dmem(ng)=Dmem(ng)+REAL(NSA,r8)*size2d
      allocate ( OCEAN(ng) % e_zeta(LBi:UBi,LBj:UBj,NSA) )
      Dmem(ng)=Dmem(ng)+REAL(NSA,r8)*size2d
      allocate ( OCEAN(ng) % e_t(LBi:UBi,LBj:UBj,N(ng),NSA,NT(ng)) )
      Dmem(ng)=Dmem(ng)+REAL(N(ng)*NT(ng)*NSA,r8)*size2d
      allocate ( OCEAN(ng) % e_u(LBi:UBi,LBj:UBj,N(ng),NSA) )
      Dmem(ng)=Dmem(ng)+REAL(N(ng)*NSA,r8)*size2d
      allocate ( OCEAN(ng) % e_v(LBi:UBi,LBj:UBj,N(ng),NSA) )
      Dmem(ng)=Dmem(ng)+REAL(N(ng)*NSA,r8)*size2d
      allocate ( OCEAN(ng) % f_t(LBi:UBi,LBj:UBj,N(ng),NT(ng)) )
      Dmem(ng)=Dmem(ng)+REAL(N(ng)*NT(ng),r8)*size2d
      allocate ( OCEAN(ng) % f_u(LBi:UBi,LBj:UBj,N(ng)) )
      Dmem(ng)=Dmem(ng)+REAL(N(ng),r8)*size2d
      allocate ( OCEAN(ng) % f_v(LBi:UBi,LBj:UBj,N(ng)) )
      Dmem(ng)=Dmem(ng)+REAL(N(ng),r8)*size2d
      allocate ( OCEAN(ng) % f_ubar(LBi:UBi,LBj:UBj) )
      Dmem(ng)=Dmem(ng)+size2d
      allocate ( OCEAN(ng) % f_vbar(LBi:UBi,LBj:UBj) )
      Dmem(ng)=Dmem(ng)+size2d
      allocate ( OCEAN(ng) % f_zeta(LBi:UBi,LBj:UBj) )
      Dmem(ng)=Dmem(ng)+size2d
!
!  Latest two records of the nonlinear trajectory used to interpolate
!  the background state in the tangent linear and adjoint models.
!
      allocate ( OCEAN(ng) % ubarG(LBi:UBi,LBj:UBj,2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*size2d
      allocate ( OCEAN(ng) % vbarG(LBi:UBi,LBj:UBj,2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*size2d
      allocate ( OCEAN(ng) % zetaG(LBi:UBi,LBj:UBj,2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*size2d
      allocate ( OCEAN(ng) % tG(LBi:UBi,LBj:UBj,N(ng),2,NT(ng)) )
      Dmem(ng)=Dmem(ng)+2.0_r8*REAL(N(ng)*NT(ng),r8)*size2d
      allocate ( OCEAN(ng) % uG(LBi:UBi,LBj:UBj,N(ng),2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*REAL(N(ng),r8)*size2d
      allocate ( OCEAN(ng) % vG(LBi:UBi,LBj:UBj,N(ng),2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*REAL(N(ng),r8)*size2d
      allocate ( OCEAN(ng) % f_tG(LBi:UBi,LBj:UBj,N(ng),2,NT(ng)) )
      Dmem(ng)=Dmem(ng)+2.0_r8*REAL(N(ng)*NT(ng),r8)*size2d
      allocate ( OCEAN(ng) % f_uG(LBi:UBi,LBj:UBj,N(ng),2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*REAL(N(ng),r8)*size2d
      allocate ( OCEAN(ng) % f_vG(LBi:UBi,LBj:UBj,N(ng),2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*REAL(N(ng),r8)*size2d
      allocate ( OCEAN(ng) % f_ubarG(LBi:UBi,LBj:UBj,2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*size2d
      allocate ( OCEAN(ng) % f_vbarG(LBi:UBi,LBj:UBj,2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*size2d
      allocate ( OCEAN(ng) % f_zetaG(LBi:UBi,LBj:UBj,2) )
      Dmem(ng)=Dmem(ng)+2.0_r8*size2d
!
      RETURN
      END SUBROUTINE allocate_ocean
!
      SUBROUTINE deallocate_ocean (ng)
!
!=======================================================================
!                                                                      !
!  This routine deallocates all variables in the module for all nested !
!  grids.                                                              !
!                                                                      !
!=======================================================================
!
      USE mod_param,   ONLY : Ngrids
!
!  Imported variable declarations.
!
      integer, intent(in) :: ng
!
!  Local variable declarations.
!
      character (len=*), parameter :: MyFile =                          &
     &  "ROMS/Modules/mod_ocean.F"//", deallocate_ocean"
!
!-----------------------------------------------------------------------
!  Deallocate derived-type OCEAN structure.
!-----------------------------------------------------------------------
!
      IF (ng.eq.Ngrids) THEN
        IF (allocated(OCEAN)) deallocate ( OCEAN )
      END IF
!
      RETURN
      END SUBROUTINE deallocate_ocean
!
      SUBROUTINE initialize_ocean (ng, tile, model)
!
!=======================================================================
!                                                                      !
!  This routine initialize all variables in the module using first     !
!  touch distribution policy. In shared-memory configuration, this     !
!  operation actually performs propagation of the  "shared arrays"     !
!  across the cluster, unless another policy is specified to           !
!  override the default.                                               !
!                                                                      !
!=======================================================================
!
      USE mod_param
!
!  Imported variable declarations.
!
      integer, intent(in) :: ng, tile, model
!
!  Local variable declarations.
!
      integer :: Imin, Imax, Jmin, Jmax
      integer :: i, j, rec
      integer :: itrc, k
      real(r8), parameter :: IniVal = 0.0_r8
!
!-----------------------------------------------------------------------
!  Set lower and upper tile bounds and staggered variables bounds for
!  this horizontal domain partition.  Notice that if tile=-1, it will
!  set the values for the global grid.
!-----------------------------------------------------------------------
!
      integer :: Istr, IstrB, IstrP, IstrR, IstrT, IstrM, IstrU
      integer :: Iend, IendB, IendP, IendR, IendT
      integer :: Jstr, JstrB, JstrP, JstrR, JstrT, JstrM, JstrV
      integer :: Jend, JendB, JendP, JendR, JendT
      integer :: Istrm3, Istrm2, Istrm1, IstrUm2, IstrUm1
      integer :: Iendp1, Iendp2, Iendp2i, Iendp3
      integer :: Jstrm3, Jstrm2, Jstrm1, JstrVm2, JstrVm1
      integer :: Jendp1, Jendp2, Jendp2i, Jendp3
!
      Istr   =BOUNDS(ng) % Istr   (tile)
      IstrB  =BOUNDS(ng) % IstrB  (tile)
      IstrM  =BOUNDS(ng) % IstrM  (tile)
      IstrP  =BOUNDS(ng) % IstrP  (tile)
      IstrR  =BOUNDS(ng) % IstrR  (tile)
      IstrT  =BOUNDS(ng) % IstrT  (tile)
      IstrU  =BOUNDS(ng) % IstrU  (tile)
      Iend   =BOUNDS(ng) % Iend   (tile)
      IendB  =BOUNDS(ng) % IendB  (tile)
      IendP  =BOUNDS(ng) % IendP  (tile)
      IendR  =BOUNDS(ng) % IendR  (tile)
      IendT  =BOUNDS(ng) % IendT  (tile)
      Jstr   =BOUNDS(ng) % Jstr   (tile)
      JstrB  =BOUNDS(ng) % JstrB  (tile)
      JstrM  =BOUNDS(ng) % JstrM  (tile)
      JstrP  =BOUNDS(ng) % JstrP  (tile)
      JstrR  =BOUNDS(ng) % JstrR  (tile)
      JstrT  =BOUNDS(ng) % JstrT  (tile)
      JstrV  =BOUNDS(ng) % JstrV  (tile)
      Jend   =BOUNDS(ng) % Jend   (tile)
      JendB  =BOUNDS(ng) % JendB  (tile)
      JendP  =BOUNDS(ng) % JendP  (tile)
      JendR  =BOUNDS(ng) % JendR  (tile)
      JendT  =BOUNDS(ng) % JendT  (tile)
!
      Istrm3 =BOUNDS(ng) % Istrm3 (tile)            ! Istr-3
      Istrm2 =BOUNDS(ng) % Istrm2 (tile)            ! Istr-2
      Istrm1 =BOUNDS(ng) % Istrm1 (tile)            ! Istr-1
      IstrUm2=BOUNDS(ng) % IstrUm2(tile)            ! IstrU-2
      IstrUm1=BOUNDS(ng) % IstrUm1(tile)            ! IstrU-1
      Iendp1 =BOUNDS(ng) % Iendp1 (tile)            ! Iend+1
      Iendp2 =BOUNDS(ng) % Iendp2 (tile)            ! Iend+2
      Iendp2i=BOUNDS(ng) % Iendp2i(tile)            ! Iend+2 interior
      Iendp3 =BOUNDS(ng) % Iendp3 (tile)            ! Iend+3
      Jstrm3 =BOUNDS(ng) % Jstrm3 (tile)            ! Jstr-3
      Jstrm2 =BOUNDS(ng) % Jstrm2 (tile)            ! Jstr-2
      Jstrm1 =BOUNDS(ng) % Jstrm1 (tile)            ! Jstr-1
      JstrVm2=BOUNDS(ng) % JstrVm2(tile)            ! JstrV-2
      JstrVm1=BOUNDS(ng) % JstrVm1(tile)            ! JstrV-1
      Jendp1 =BOUNDS(ng) % Jendp1 (tile)            ! Jend+1
      Jendp2 =BOUNDS(ng) % Jendp2 (tile)            ! Jend+2
      Jendp2i=BOUNDS(ng) % Jendp2i(tile)            ! Jend+2 interior
      Jendp3 =BOUNDS(ng) % Jendp3 (tile)            ! Jend+3
!
!  Set array initialization range.
!
      Imin=BOUNDS(ng)%LBi(tile)
      Imax=BOUNDS(ng)%UBi(tile)
      Jmin=BOUNDS(ng)%LBj(tile)
      Jmax=BOUNDS(ng)%UBj(tile)
!
!-----------------------------------------------------------------------
!  Initialize module variables.
!-----------------------------------------------------------------------
!
!  Nonlinear model state.
!
      IF ((model.eq.0).or.(model.eq.iNLM)) THEN
        DO j=Jmin,Jmax
          DO i=Imin,Imax
            OCEAN(ng) % rubar(i,j,1) = IniVal
            OCEAN(ng) % rubar(i,j,2) = IniVal
            OCEAN(ng) % rvbar(i,j,1) = IniVal
            OCEAN(ng) % rvbar(i,j,2) = IniVal
            OCEAN(ng) % rzeta(i,j,1) = IniVal
            OCEAN(ng) % rzeta(i,j,2) = IniVal
            OCEAN(ng) % ubar(i,j,1) = IniVal
            OCEAN(ng) % ubar(i,j,2) = IniVal
            OCEAN(ng) % ubar(i,j,3) = IniVal
            OCEAN(ng) % vbar(i,j,1) = IniVal
            OCEAN(ng) % vbar(i,j,2) = IniVal
            OCEAN(ng) % vbar(i,j,3) = IniVal
            OCEAN(ng) % zeta(i,j,1) = IniVal
            OCEAN(ng) % zeta(i,j,2) = IniVal
            OCEAN(ng) % zeta(i,j,3) = IniVal
          END DO
          DO k=1,N(ng)
            DO i=Imin,Imax
              OCEAN(ng) % pden(i,j,k) = IniVal
              OCEAN(ng) % rho(i,j,k) = IniVal
              OCEAN(ng) % u(i,j,k,1) = IniVal
              OCEAN(ng) % u(i,j,k,2) = IniVal
              OCEAN(ng) % v(i,j,k,1) = IniVal
              OCEAN(ng) % v(i,j,k,2) = IniVal
            END DO
          END DO
          DO k=0,N(ng)
            DO i=Imin,Imax
              OCEAN(ng) % ru(i,j,k,1) = IniVal
              OCEAN(ng) % ru(i,j,k,2) = IniVal
              OCEAN(ng) % rv(i,j,k,1) = IniVal
              OCEAN(ng) % rv(i,j,k,2) = IniVal
              OCEAN(ng) % W(i,j,k) = IniVal
              OCEAN(ng) % wvel(i,j,k) = IniVal
            END DO
          END DO
          DO itrc=1,NT(ng)
            DO k=1,N(ng)
              DO i=Imin,Imax
                OCEAN(ng) % t(i,j,k,1,itrc) = IniVal
                OCEAN(ng) % t(i,j,k,2,itrc) = IniVal
                OCEAN(ng) % t(i,j,k,3,itrc) = IniVal
              END DO
            END DO
          END DO
        END DO
      END IF
!
!  Tangent linear model state.
!
      IF ((model.eq.0).or.(model.eq.iTLM).or.(model.eq.iRPM)) THEN
        DO j=Jmin,Jmax
          DO i=Imin,Imax
            OCEAN(ng) % tl_rubar(i,j,1) = IniVal
            OCEAN(ng) % tl_rubar(i,j,2) = IniVal
            OCEAN(ng) % tl_rvbar(i,j,1) = IniVal
            OCEAN(ng) % tl_rvbar(i,j,2) = IniVal
            OCEAN(ng) % tl_rzeta(i,j,1) = IniVal
            OCEAN(ng) % tl_rzeta(i,j,2) = IniVal
            OCEAN(ng) % tl_ubar(i,j,1) = IniVal
            OCEAN(ng) % tl_ubar(i,j,2) = IniVal
            OCEAN(ng) % tl_ubar(i,j,3) = IniVal
            OCEAN(ng) % tl_vbar(i,j,1) = IniVal
            OCEAN(ng) % tl_vbar(i,j,2) = IniVal
            OCEAN(ng) % tl_vbar(i,j,3) = IniVal
            OCEAN(ng) % tl_zeta(i,j,1) = IniVal
            OCEAN(ng) % tl_zeta(i,j,2) = IniVal
            OCEAN(ng) % tl_zeta(i,j,3) = IniVal
          END DO
          DO k=1,N(ng)
            DO i=Imin,Imax
              OCEAN(ng) % tl_pden(i,j,k) = IniVal
              OCEAN(ng) % tl_rho(i,j,k) = IniVal
              OCEAN(ng) % tl_u(i,j,k,1) = IniVal
              OCEAN(ng) % tl_u(i,j,k,2) = IniVal
              OCEAN(ng) % tl_v(i,j,k,1) = IniVal
              OCEAN(ng) % tl_v(i,j,k,2) = IniVal
            END DO
          END DO
          DO k=0,N(ng)
            DO i=Imin,Imax
              OCEAN(ng) % tl_ru(i,j,k,1) = IniVal
              OCEAN(ng) % tl_ru(i,j,k,2) = IniVal
              OCEAN(ng) % tl_rv(i,j,k,1) = IniVal
              OCEAN(ng) % tl_rv(i,j,k,2) = IniVal
              OCEAN(ng) % tl_W(i,j,k) = IniVal
            END DO
          END DO
          DO itrc=1,NT(ng)
            DO k=1,N(ng)
              DO i=Imin,Imax
                OCEAN(ng) % tl_t(i,j,k,1,itrc) = IniVal
                OCEAN(ng) % tl_t(i,j,k,2,itrc) = IniVal
                OCEAN(ng) % tl_t(i,j,k,3,itrc) = IniVal
              END DO
            END DO
          END DO
        END DO
      END IF
!
!  Adjoint model state.
!
      IF ((model.eq.0).or.(model.eq.iADM)) THEN
        DO j=Jmin,Jmax
          DO i=Imin,Imax
            OCEAN(ng) % ad_rubar(i,j,1) = IniVal
            OCEAN(ng) % ad_rubar(i,j,2) = IniVal
            OCEAN(ng) % ad_rvbar(i,j,1) = IniVal
            OCEAN(ng) % ad_rvbar(i,j,2) = IniVal
            OCEAN(ng) % ad_rzeta(i,j,1) = IniVal
            OCEAN(ng) % ad_rzeta(i,j,2) = IniVal
            OCEAN(ng) % ad_ubar(i,j,1) = IniVal
            OCEAN(ng) % ad_ubar(i,j,2) = IniVal
            OCEAN(ng) % ad_ubar(i,j,3) = IniVal
            OCEAN(ng) % ad_vbar(i,j,1) = IniVal
            OCEAN(ng) % ad_vbar(i,j,2) = IniVal
            OCEAN(ng) % ad_vbar(i,j,3) = IniVal
            OCEAN(ng) % ad_zeta(i,j,1) = IniVal
            OCEAN(ng) % ad_zeta(i,j,2) = IniVal
            OCEAN(ng) % ad_zeta(i,j,3) = IniVal
            OCEAN(ng) % ad_ubar_sol(i,j) = IniVal
            OCEAN(ng) % ad_vbar_sol(i,j) = IniVal
            OCEAN(ng) % ad_zeta_sol(i,j) = IniVal
          END DO
          DO k=1,N(ng)
            DO i=Imin,Imax
              OCEAN(ng) % ad_pden(i,j,k) = IniVal
              OCEAN(ng) % ad_rho(i,j,k) = IniVal
              OCEAN(ng) % ad_u(i,j,k,1) = IniVal
              OCEAN(ng) % ad_u(i,j,k,2) = IniVal
              OCEAN(ng) % ad_v(i,j,k,1) = IniVal
              OCEAN(ng) % ad_v(i,j,k,2) = IniVal
              OCEAN(ng) % ad_u_sol(i,j,k) = IniVal
              OCEAN(ng) % ad_v_sol(i,j,k) = IniVal
            END DO
          END DO
          DO k=0,N(ng)
            DO i=Imin,Imax
              OCEAN(ng) % ad_ru(i,j,k,1) = IniVal
              OCEAN(ng) % ad_ru(i,j,k,2) = IniVal
              OCEAN(ng) % ad_rv(i,j,k,1) = IniVal
              OCEAN(ng) % ad_rv(i,j,k,2) = IniVal
              OCEAN(ng) % ad_W(i,j,k) = IniVal
              OCEAN(ng) % ad_W_sol(i,j,k) = IniVal
              OCEAN(ng) % ad_wvel(i,j,k) = IniVal
            END DO
          END DO
          DO itrc=1,NT(ng)
            DO k=1,N(ng)
              DO i=Imin,Imax
                OCEAN(ng) % ad_t(i,j,k,1,itrc) = IniVal
                OCEAN(ng) % ad_t(i,j,k,2,itrc) = IniVal
                OCEAN(ng) % ad_t(i,j,k,3,itrc) = IniVal
                OCEAN(ng) % ad_t_sol(i,j,k,itrc) = IniVal
              END DO
            END DO
          END DO
        END DO
      END IF
!
!  Working arrays to store adjoint impulse forcing, background error
!  covariance, background-error standard deviations, or descent
!  conjugate vectors (directions).
!
      IF (model.eq.0) THEN
        DO j=Jmin,Jmax
          DO rec=1,NSA
            DO i=Imin,Imax
              OCEAN(ng) % b_ubar(i,j,rec) = IniVal
              OCEAN(ng) % b_vbar(i,j,rec) = IniVal
              OCEAN(ng) % b_zeta(i,j,rec) = IniVal
              OCEAN(ng) % e_ubar(i,j,rec) = IniVal
              OCEAN(ng) % e_vbar(i,j,rec) = IniVal
              OCEAN(ng) % e_zeta(i,j,rec) = IniVal
            END DO
          END DO
          DO i=Imin,Imax
            OCEAN(ng) % d_ubar(i,j) = IniVal
            OCEAN(ng) % d_vbar(i,j) = IniVal
            OCEAN(ng) % d_zeta(i,j) = IniVal
            OCEAN(ng) % f_ubar(i,j) = IniVal
            OCEAN(ng) % f_vbar(i,j) = IniVal
            OCEAN(ng) % f_zeta(i,j) = IniVal
          END DO
          DO rec=1,NSA
            DO k=1,N(ng)
              DO i=Imin,Imax
                OCEAN(ng) % b_u(i,j,k,rec) = IniVal
                OCEAN(ng) % b_v(i,j,k,rec) = IniVal
                OCEAN(ng) % e_u(i,j,k,rec) = IniVal
                OCEAN(ng) % e_v(i,j,k,rec) = IniVal
              END DO
            END DO
          END DO
          DO k=1,N(ng)
            DO i=Imin,Imax
              OCEAN(ng) % d_u(i,j,k) = IniVal
              OCEAN(ng) % d_v(i,j,k) = IniVal
              OCEAN(ng) % f_u(i,j,k) = IniVal
              OCEAN(ng) % f_v(i,j,k) = IniVal
            END DO
          END DO
          DO itrc=1,NT(ng)
            DO rec=1,NSA
              DO k=1,N(ng)
                DO i=Imin,Imax
                  OCEAN(ng) % b_t(i,j,k,rec,itrc) = IniVal
                  OCEAN(ng) % e_t(i,j,k,rec,itrc) = IniVal
                END DO
              END DO
            END DO
            DO k=1,N(ng)
              DO i=Imin,Imax
                OCEAN(ng) % d_t(i,j,k,itrc) = IniVal
                OCEAN(ng) % f_t(i,j,k,itrc) = IniVal
              END DO
            END DO
          END DO
        END DO
      END IF
!
!  Latest two records of the nonlinear trajectory used to interpolate
!  the background state in the tangent linear and adjoint models.
!
      IF (model.eq.0) THEN
        DO j=Jmin,Jmax
          DO i=Imin,Imax
            OCEAN(ng) % ubarG(i,j,1) = IniVal
            OCEAN(ng) % ubarG(i,j,2) = IniVal
            OCEAN(ng) % vbarG(i,j,1) = IniVal
            OCEAN(ng) % vbarG(i,j,2) = IniVal
            OCEAN(ng) % zetaG(i,j,1) = IniVal
            OCEAN(ng) % zetaG(i,j,2) = IniVal
            OCEAN(ng) % f_zetaG(i,j,1) = IniVal
            OCEAN(ng) % f_zetaG(i,j,2) = IniVal
            OCEAN(ng) % f_ubarG(i,j,1) = IniVal
            OCEAN(ng) % f_ubarG(i,j,2) = IniVal
            OCEAN(ng) % f_vbarG(i,j,1) = IniVal
            OCEAN(ng) % f_vbarG(i,j,2) = IniVal
          END DO
          DO k=1,N(ng)
            DO i=Imin,Imax
              OCEAN(ng) % uG(i,j,k,1) = IniVal
              OCEAN(ng) % uG(i,j,k,2) = IniVal
              OCEAN(ng) % vG(i,j,k,1) = IniVal
              OCEAN(ng) % vG(i,j,k,2) = IniVal
              OCEAN(ng) % f_uG(i,j,k,1) = IniVal
              OCEAN(ng) % f_uG(i,j,k,2) = IniVal
              OCEAN(ng) % f_vG(i,j,k,1) = IniVal
              OCEAN(ng) % f_vG(i,j,k,2) = IniVal
            END DO
          END DO
          DO itrc=1,NT(ng)
            DO k=1,N(ng)
              DO i=Imin,Imax
                OCEAN(ng) % tG(i,j,k,1,itrc) = IniVal
                OCEAN(ng) % tG(i,j,k,2,itrc) = IniVal
                OCEAN(ng) % f_tG(i,j,k,1,itrc) = IniVal
                OCEAN(ng) % f_tG(i,j,k,2,itrc) = IniVal
              END DO
            END DO
          END DO
        END DO
      END IF
      RETURN
      END SUBROUTINE initialize_ocean
      END MODULE mod_ocean