subroutine da_wpec_constraint(grid, xbx),7
!---------------------------------------------------------------------------
! Purpose: Calculates balance equation G(x)
!---------------------------------------------------------------------------
implicit none
type(domain), intent(inout) :: grid
type(xbx_type), intent(in) :: xbx ! Header & non-gridded vars.
real :: u(ims:ime,jms:jme,kms:kme) ! u wind comp.
real :: v(ims:ime,jms:jme,kms:kme) ! v wind comp.
real :: phi_b(ims:ime,jms:jme,kms:kme)
integer :: i, j, k ! Loop counters.
integer :: is, ie ! 1st dim. end points.
integer :: js, je ! 2nd dim. end points.
real :: coefx(ims:ime,jms:jme) ! Multiplicative coefficient.
real :: coefy(ims:ime,jms:jme) ! Multiplicative coefficient.
real :: term_x(ims:ime,jms:jme) ! Balance eqn x term
real :: term_y(ims:ime,jms:jme) ! Balance eqn y term
real :: phi_b_x(ims:ime,jms:jme) ! Balance eqn x term
real :: phi_b_y(ims:ime,jms:jme) ! Balance eqn y term
if (trace_use) call da_trace_entry
("da_wpec_constraint")
!---------------------------------------------------------------------------
! [1.0] Initialise i and set multiplicative constants
!---------------------------------------------------------------------------
! Computation to check for edge of domain:
is = its; ie = ite; js = jts; je = jte
if (.not.global .and. its == ids) is = ids+1
if (.not.global .and. ite == ide) ie = ide-1
if (jts == jds ) js = jds+1; if (jte == jde) je = jde-1
if (fg_format == fg_format_kma_global) then
coefx = grid%xb%coefx
coefy = grid%xb%coefy
else if( fg_format == fg_format_wrf_arw_regional) then
coefx = grid%xb%coefx
coefy = grid%xb%coefy
else if (fg_format == fg_format_wrf_arw_global) then
write (unit=message(1),fmt='(A,I3)') ' needs work for fg_format_wrf_arw_global = ',fg_format
call da_error
(__FILE__,__LINE__,message(1:1))
else if (fg_format == fg_format_wrf_nmm_regional) then
write (unit=message(1),fmt='(A,I3)') ' needs work for fg_format_wrf_nmm_regional = ',fg_format
call da_error
(__FILE__,__LINE__,message(1:1))
else
write(unit=message(1),fmt='(A,I3)') 'Wrong FG_FORMAT = ',fg_format
call da_error
(__FILE__,__LINE__,message(1:1))
end if
! [1.1]
phi_b = grid%xb%p
do k = kts, kte
term_x(ims:ime,jms:jme) = 0.0
term_y(ims:ime,jms:jme) = 0.0
phi_b_x(ims:ime,jms:jme) = 0.0
phi_b_y(ims:ime,jms:jme) = 0.0
!---------------------------------------------------------------------------
! [2.0] Calculate RHS of balance equation in gridpoint space:
!---------------------------------------------------------------------------
! [2.1] Include geostrophic terms in balance eqn if requested:
if (balance_type == balance_geo .OR. balance_type == balance_geocyc ) then
call da_wpec_constraint_geoterm
(grid%xb % cori, grid%xb % rho(:,:,k), grid%xb %u(:,:,k), grid%xb %v(:,:,k), &
term_x, term_y)
end if
! [2.2] Include cyclostrophic terms in balance eqn if requested:
if (balance_type == balance_cyc .OR. balance_type == balance_geocyc ) then
call da_wpec_constraint_cycloterm
(grid%xb % rho(:,:,k), grid%xb % u(:,:,k), &
grid%xb % v(:,:,k), grid%xb % coefx(:,:), grid%xb % coefy(:,:), &
term_x, term_y)
end if
! [2.3] Include phi_b terms in balance eqn
do j = js, je
do i = is, ie
phi_b_x(i,j) = coefx(i,j)*(phi_b(i+1,j,k)-phi_b(i-1,j,k))
phi_b_y(i,j) = coefy(i,j)*(phi_b(i,j+1,k)-phi_b(i,j-1,k))
end do
end do
!------------------------------------------------------------------------------
! [3.0] Solve Grad_p for balance eqn :
!------------------------------------------------------------------------------
do j = js, je
do i = is, ie
grid%xb%xb_p_x(i,j,k)=phi_b_x(i,j)+term_x(i,j)
grid%xb%xb_p_y(i,j,k)=phi_b_y(i,j)+term_y(i,j)
end do
end do
end do
if (trace_use) call da_trace_exit
("da_wpec_constraint")
end subroutine da_wpec_constraint