advect2_mom_z.f90

subroutine advect2_mom_z

!       momentum tendency due to the 2nd-order-central vertical advection

use vars

implicit none


real fuz(nx,ny,nz),fvz(nx,ny,nz),fwz(nx,ny,nzm)
integer i, j, k, kc, kb
real dz2, dz25, www, rhoi

dz25=1./(4.*dz)
dz2=dz25*2.

do j=1,ny
 do i=1,nx
  fuz(i,j,1) = 0.
  fvz(i,j,1) = 0.
  fuz(i,j,nz) = 0.
  fvz(i,j,nz) = 0.
  fwz(i,j,1) = 0.
  fwz(i,j,nzm) = 0.
 end do
end do

uwle(1) = 0.
vwle(1) = 0.	 

if(RUN3D) then

do k=2,nzm
 kb = k-1
 rhoi = dz25 * rhow(k)
 uwle(k) = 0.
 vwle(k) = 0.
 do j=1,ny
  do i=1,nx
   fuz(i,j,k) = rhoi*(w(i,j,k)+w(i-1,j,k))*(u(i,j,k)+u(i,j,kb))
   fvz(i,j,k) = rhoi*(w(i,j,k)+w(i,j-1,k))*(v(i,j,k)+v(i,j,kb))
   uwle(k) = uwle(k)+fuz(i,j,k)	 	 
   vwle(k) = vwle(k)+fvz(i,j,k)	 	 
  end do
 end do
end do

else

do k=2,nzm
 kb = k-1
 rhoi = dz25 * rhow(k)
 uwle(k) = 0.
 vwle(k) = 0.
 do j=1,ny
  do i=1,nx
    www = rhoi*(w(i,j,k)+w(i-1,j,k)) 
    fuz(i,j,k) = www*(u(i,j,k)+u(i,j,kb))
    fvz(i,j,k) = www*(v(i,j,k)+v(i,j,kb))
    uwle(k) = uwle(k)+fuz(i,j,k)	 	 
    vwle(k) = vwle(k)+fvz(i,j,k)	 	 
  end do
 end do
end do


endif
	
do k=1,nzm
 kc = k+1
 rhoi = 1./(rho(k)*adz(k))
 do j=1,ny
  do i=1,nx
   dudt(i,j,k,na)=dudt(i,j,k,na)-(fuz(i,j,kc)-fuz(i,j,k))*rhoi
   dvdt(i,j,k,na)=dvdt(i,j,k,na)-(fvz(i,j,kc)-fvz(i,j,k))*rhoi	 
   fwz(i,j,k)=dz25*(w(i,j,kc)*rhow(kc)+w(i,j,k)*rhow(k))*(w(i,j,kc)+w(i,j,k))
  end do
 end do
end do

do k=2,nzm
 kb=k-1
 rhoi = 1./(rhow(k)*adzw(k))
 do j=1,ny
  do i=1,nx
   dwdt(i,j,k,na)=dwdt(i,j,k,na)-(fwz(i,j,k)-fwz(i,j,kb))*rhoi
  end do
 end do
end do ! k

end subroutine advect2_mom_z