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subroutine da_balance_cycloterm_adj (rho, ub, vb, u, v, coefx, coefy, term_x, term_y) 1,2
!---------------------------------------------------------------------------
! Purpose: Adjoint of da_balance_cycloterm
!---------------------------------------------------------------------------
implicit none
real, intent(in) :: rho(ims:ime,jms:jme) ! Density.
real, intent(in) :: ub(ims:ime,jms:jme) ! Background u wind
real, intent(in) :: vb(ims:ime,jms:jme) ! Background u wind
real, intent(in) :: term_x(ims:ime,jms:jme) ! x component of term
real, intent(in) :: term_y(ims:ime,jms:jme) ! y component of term
real, intent(in) :: coefx(ims:ime,jms:jme)
real, intent(in) :: coefy(ims:ime,jms:jme) ! Mulplicative coeff.
real, intent(inout) :: u(ims:ime,jms:jme) ! u wind increment
real, intent(inout) :: v(ims:ime,jms:jme) ! v wind increment
integer :: i, j ! Loop counters.
integer :: is, ie ! 1st dim. end points.
integer :: js, je ! 2nd dim. end points.
real :: data(ims:ime,jms:jme) ! Work array.
real :: var, varb, uar
if (trace_use) call da_trace_entry
("da_balance_cycloterm_adj")
!---------------------------------------------------------------------------
! [1.0] Initialise:
!---------------------------------------------------------------------------
! 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
!---------------------------------------------------------------------------
! [3.0] Calculate term_y = rho M ( u'dv/dx + v'dv/dy + udv'/dx + vdv'/dy ):
!---------------------------------------------------------------------------
! [3.7] Multiply by rho and add to term_y
data(its:ite,jts:jte) = rho(its:ite,jts:jte) * term_y(its:ite,jts:jte)
if (.NOT. global) then
! [3.6] Corner points:
if (its == ids .AND. jts == jds ) then
data(its,jts+1) = data(its,jts+1) + 0.5 * data(its,jts)
data(its+1,jts) = data(its+1,jts) + 0.5 * data(its,jts)
end if
if (ite == ide .AND. jts == jds ) then
data(ite-1,jts) = data(ite-1,jts) + 0.5 * data(ite,jts)
data(ite,jts+1) = data(ite,jts+1) + 0.5 * data(ite,jts)
end if
if (its == ids .AND. jte == jde ) then
data(its,jde-1) = data(its,jde-1) + 0.5 * data(its,jde)
data(its+1,jde) = data(its+1,jde) + 0.5 * data(its,jde)
end if
if (ite == ide .AND. jte == jde ) then
data(ite-1,jte) = data(ite-1,jte) + 0.5 * data(ite,jte)
data(ite,jte-1) = data(ite,jte-1) + 0.5 * data(ite,jte)
end if
! [3.5] Right boundaries:
if (jte == jde ) then
j = jte
do i = is, ie
varb = 3.0*vb(i,j)-4.0*vb(i,j-1)+vb(i,j-2)
var = coefy(i,j)* vb(i,j) * data(i,j)
uar = coefx(i,j)* data(i,j) * ub(i,j)
u(i,j) = u(i,j) + coefx(i,j)*data(i,j) * ( vb(i+1,j) - vb(i-1,j) )
v(i,j) = v(i,j) + coefy(i,j)*data(i,j) * varb
v(i+1,j) = v(i+1,j) + uar
v(i-1,j) = v(i-1,j) - uar
v(i,j) = v(i,j) + 3.0*var
v(i,j-1) = v(i,j-1) -4.0*var
v(i,j-2) = v(i,j-2) + var
end do
end if
! [3.4] Left boundaries:
if (jts == jds ) then
j = jts
do i = is, ie
varb = -3.0*vb(i,j)+4.0*vb(i,j+1)-vb(i,j+2)
var = coefy(i,j)*vb(i,j) * data(i,j)
uar = coefx(i,j)*ub(i,j) * data(i,j)
v(i,j) = v(i,j) + coefy(i,j)*data(i,j) * varb
v(i+1,j) = v(i+1,j) + uar
v(i-1,j) = v(i-1,j) - uar
v(i,j) = v(i,j) - 3.0*var
v(i,j+1) = v(i,j+1) +4.0*var
v(i,j+2) = v(i,j+2) - var
end do
end if
! [3.3] Top boundaries:
if (ite == ide ) then
i = ite
do j = js, je
varb = 3.0*vb(i,j)-4.0*vb(i-1,j)+vb(i-2,j)
var = coefx(i,j)* ub(i,j) * data(i,j)
uar = coefy(i,j)* vb(i,j) * data(i,j)
u(i,j) = u(i,j) + coefx(i,j)*data(i,j) * varb
v(i,j) = v(i,j) + coefy(i,j)*data(i,j) * ( vb(i,j+1) - vb(i,j-1) )
v(i,j+1) = v(i,j+1) + uar
v(i,j-1) = v(i,j-1) - uar
v(i,j) = v(i,j) + 3.0*var
v(i-1,j) = v(i-1,j) -4.0**var
v(i-2,j) = v(i-2,j) + var
end do
end if
! [3.2] Bottom boundaries:
if (its == ids ) then
i = its
do j = js, je
varb = -3.0*vb(i,j)+4.0*vb(i+1,j)-vb(i+2,j)
var = coefx(i,j)* ub(i,j) * data(i,j)
uar = coefy(i,j)* vb(i,j) * data(i,j)
u(i,j) = u(i,j) + coefx(i,j)*data(i,j) * varb
v(i,j) = v(i,j) + coefy(i,j)*data(i,j) * ( vb(i,j+1) - vb(i,j-1) )
v(i,j+1) = v(i,j+1) + uar
v(i,j-1) = v(i,j-1) - uar
v(i,j) = v(i,j) - 3.0*var
v(i+1,j) = v(i+1,j) +4.0**var
v(i+2,j) = v(i+2,j) - var
end do
end if
end if ! not global
! [3.1] Interior points:
do j = je, js, -1
do i = ie, is, -1
uar = coefx(i,j) * ub(i,j) * data(i,j)
var = coefy(i,j) * vb(i,j) * data(i,j)
u(i,j) = u(i,j) + coefx(i,j)*data(i,j)*( vb(i+1,j) - vb(i-1,j) )
v(i,j) = v(i,j) + coefy(i,j)*data(i,j)*( vb(i,j+1) - vb(i,j-1) )
v(i+1,j) = v(i+1,j) + uar
v(i-1,j) = v(i-1,j) - uar
v(i,j+1) = v(i,j+1) + var
v(i,j-1) = v(i,j-1) - var
end do
end do
!---------------------------------------------------------------------------
! [2.0] Calculate term_x = rho M ( u'du/dx + v'du/dy + udu'/dx + vdu'/dy ):
!---------------------------------------------------------------------------
! [2.7] Multiply by rho and add to term_x:
data(its:ite,jts:jte) = rho(its:ite,jts:jte) * term_x(its:ite,jts:jte)
if( .NOT. global) then
! [2.6] Corner points:
if (its == ids .AND. jts == jds ) then
data(its,jts+1) = data(its,jts+1) + 0.5 * data(its,jts)
data(its+1,jts) = data(its+1,jts) + 0.5 * data(its,jts)
end if
if (ite == ide .AND. jts == jds ) then
data(ite-1,jts) = data(ite-1,jts) + 0.5 * data(ite,jts)
data(ite,jts+1) = data(ite,jts+1) + 0.5 * data(ite,jts)
end if
if (its == ids .AND. jte == jde ) then
data(its,jde-1) = data(its,jde-1) + 0.5 * data(its,jde)
data(its+1,jde) = data(its+1,jde) + 0.5 * data(its,jde)
end if
if (ite == ide .AND. jte == jde ) then
data(ite-1,jte) = data(ite-1,jte) + 0.5 * data(ite,jte)
data(ite,jte-1) = data(ite,jte-1) + 0.5 * data(ite,jte)
end if
! [2.5] Right boundaries:
if (jte == jde ) then
j = jte
do i = is, ie
varb = 3.0*ub(i,j)-4.0*ub(i,j-1)+ub(i,j-2)
var = coefy(i,j) * vb(i,j) * data(i,j)
uar = coefx(i,j) * ub(i,j) * data(i,j)
u(i+1,j) = u(i+1,j) + uar
u(i-1,j) = u(i-1,j) - uar
v(i,j) = v(i,j) + coefy(i,j)*data(i,j) * varb
u(i,j) = u(i,j) + coefx(i,j)*data(i,j) * ( ub(i+1,j) - ub(i-1,j) )
u(i,j) = u(i,j) + 3.0*var
u(i,j-1) = u(i,j-1) -4.0*var
u(i,j-2) = u(i,j-2) + var
end do
end if
! [2.4] Left boundaries:
if (jts == jds ) then
j = jts
do i = is, ie
varb = -3.0*ub(i,j)+4.0*ub(i,j+1)-ub(i,j+2)
var = coefy(i,j)*vb(i,j) * data(i,j)
uar = coefx(i,j)*ub(i,j) * data(i,j)
u(i+1,j) = u(i+1,j) + uar
u(i-1,j) = u(i-1,j) - uar
v(i,j) = v(i,j) + coefy(i,j)*data(i,j) * varb
u(i,j) = u(i,j) + coefx(i,j)*data(i,j) * ( ub(i+1,j) - ub(i-1,j) )
u(i,j) = u(i,j) - 3.0*var
u(i,j+1) = u(i,j+1) +4.0*var
u(i,j+2) = u(i,j+2) - var
end do
end if
! [2.3] Top boundaries:
if (ite == ide ) then
i = ite
do j = js, je
varb = 3.0*ub(i,j)-4.0*ub(i-1,j)+ub(i-2,j)
var = coefx(i,j)*ub(i,j) * data(i,j)
uar = coefy(i,j)*vb(i,j) * data(i,j)
u(i,j+1) = u(i,j+1) + uar
u(i,j-1) = u(i,j-1) - uar
v(i,j) = v(i,j) + coefy(i,j)*data(i,j) * ( ub(i,j+1) - ub(i,j-1) )
u(i,j) = u(i,j) + coefx(i,j)*data(i,j) * varb
u(i,j) = u(i,j) + 3.0*var
u(i-1,j) = u(i-1,j) - 4.0*var
u(i-2,j) = u(i-2,j) + var
end do
end if
! [2.2] Bottom boundaries:
if (its == ids ) then
i = its
do j = js, je
varb = -3.0*ub(i,j)+4.0*ub(i+1,j)-ub(i+2,j)
var = coefy(i,j)*ub(i,j) * data(i,j)
uar = coefy(i,j)*vb(i,j) * data(i,j)
u(i,j+1) = u(i,j+1) + uar
u(i,j-1) = u(i,j-1) - uar
v(i,j) = v(i,j) + coefy(i,j)*data(i,j) * ( ub(i,j+1) - ub(i,j-1) )
u(i,j) = u(i,j) + coefx(i,j)*data(i,j) * varb
u(i,j) = u(i,j) - 3.0*var
u(i+1,j) = u(i+1,j) + 4.0*var
u(i+2,j) = u(i+2,j) - var
end do
end if
end if ! not global
! [2.1] Interior points:
do j = je, js, -1
do i = ie, is, -1
uar = coefx(i,j) * ub(i,j) * data(i,j)
var = coefy(i,j) * vb(i,j) * data(i,j)
u(i,j) = u(i,j) + coefx(i,j)*( ub(i+1,j) - ub(i-1,j) ) * data(i,j)
v(i,j) = v(i,j) + coefy(i,j)*( ub(i,j+1) - ub(i,j-1) ) * data(i,j)
u(i+1,j) = u(i+1,j) + uar
u(i-1,j) = u(i-1,j) - uar
u(i,j+1) = u(i,j+1) + var
u(i,j-1) = u(i,j-1) - var
end do
end do
if (trace_use) call da_trace_exit("da_balance_cycloterm_adj")
end subroutine da_balance_cycloterm_adj