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mxpwp.F90
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#if defined(ROW_LAND)
#define SEA_P .true.
#define SEA_U .true.
#define SEA_V .true.
#elif defined(ROW_ALLSEA)
#define SEA_P allip(j).or.ip(i,j).ne.0
#define SEA_U alliu(j).or.iu(i,j).ne.0
#define SEA_V alliv(j).or.iv(i,j).ne.0
#else
#define SEA_P ip(i,j).ne.0
#define SEA_U iu(i,j).ne.0
#define SEA_V iv(i,j).ne.0
#endif
subroutine mxpwp(m,n)
use mod_xc ! HYCOM communication interface
use mod_cb_arrays ! HYCOM saved arrays
implicit none
!
! --- hycom version 2.1
!
integer m,n
!
! -------------------------------------------------------------------
! --- price-weller-pinkel dynamical instability vertical mixing model
! -------------------------------------------------------------------
!
! --- background diapycnal mixing is provided by the explicit diapycnal
! --- mixing model, subroutine diapf2
!
integer i,j,k
real delp,sigmlj
!
# include "stmt_fns.h"
!
call xctilr(u( 1-nbdy,1-nbdy,1,n),1,kk, 1,1, halo_uv)
call xctilr(v( 1-nbdy,1-nbdy,1,n),1,kk, 1,1, halo_vv)
call xctilr(p( 1-nbdy,1-nbdy,2 ),1,kk, 1,1, halo_ps)
!
! --- diffisuvity/viscosity calculation
!
!$OMP PARALLEL DO PRIVATE(j) &
!$OMP SHARED(m,n) &
!$OMP SCHEDULE(STATIC,jblk)
do j=1,jj
call mxpwpaj(m,n, j)
enddo
!$OMP END PARALLEL DO
!
! --- final velocity mixing at u,v points
!
call xctilr(vcty(1-nbdy,1-nbdy,1),1,kk, 1,1, halo_ps)
call xctilr(dpbl(1-nbdy,1-nbdy), 1, 1, 1,1, halo_ps)
!
!$OMP PARALLEL DO PRIVATE(j) &
!$OMP SHARED(m,n) &
!$OMP SCHEDULE(STATIC,jblk)
do j=1,jj
call mxpwpbj(m,n, j)
enddo
!$OMP END PARALLEL DO
!
! --- mixed layer diagnostics
!
if (diagno) then
!
! --- diagnose new mixed layer depth based on density jump criterion
!$OMP PARALLEL DO PRIVATE(j,i,k,sigmlj) &
!$OMP SCHEDULE(STATIC,jblk)
do j=1,jj
do i=1,ii
if (SEA_P) then
!
! --- depth of mixed layer base set to interpolated depth where
! --- the density jump is equivalent to a tmljmp temperature jump.
! --- this may not vectorize, but is used infrequently.
sigmlj = -tmljmp*dsigdt(temp(i,j,1,n),saln(i,j,1,n))
sigmlj = max(sigmlj,tmljmp*0.1) !cold-water fix
do k=2,kk
if (p(i,j,k+1).ge.p(i,j,kk+1)-onem) then
dpmixl(i,j,n) = p(i,j,k+1)
exit !k
elseif ((th3d(i,j,k,n)-th3d(i,j,1,n)).ge.sigmlj) then
dpmixl(i,j,n)=max(dp(i,j,1,n), &
p(i,j,k) + dp(i,j,k,n)* &
(th3d(i,j,1,n)+sigmlj-th3d(i,j,k-1,n))/ &
(th3d(i,j,k,n) +epsil-th3d(i,j,k-1,n)) )
exit
endif
enddo !k
endif !ip
enddo !i
enddo !j
!$OMP END PARALLEL DO
!
call xctilr(p( 1-nbdy,1-nbdy,2),1,kk, 1,1, halo_ps)
call xctilr(dpmixl(1-nbdy,1-nbdy,n),1, 1, 1,1, halo_ps)
!
! --- calculate bulk mixed layer t, s, theta
!
!$OMP PARALLEL DO PRIVATE(j,i,k,delp) &
!$OMP SCHEDULE(STATIC,jblk)
do j=1,jj
do i=1,ii
if (SEA_P) then
dpmixl(i,j,m)=dpmixl(i,j,n)
tmix(i,j)=temp(i,j,1,n)*dp(i,j,1,n)
smix(i,j)=saln(i,j,1,n)*dp(i,j,1,n)
do k=2,kk
delp=min(p(i,j,k+1),dpmixl(i,j,n)) &
-min(p(i,j,k ),dpmixl(i,j,n))
tmix(i,j)=tmix(i,j)+delp*temp(i,j,k,n)
smix(i,j)=smix(i,j)+delp*saln(i,j,k,n)
enddo !k
tmix(i,j)=tmix(i,j)/dpmixl(i,j,n)
smix(i,j)=smix(i,j)/dpmixl(i,j,n)
thmix(i,j)=sig(tmix(i,j),smix(i,j))-thbase
endif !ip
enddo !i
enddo !j
!$OMP END PARALLEL DO
!
! --- calculate bulk mixed layer u
!
!$OMP PARALLEL DO PRIVATE(j,i,k,delp) &
!$OMP SCHEDULE(STATIC,jblk)
do j=1,jj
do i=1,ii
if (SEA_U) then
umix(i,j)=u(i,j,1,n)*2.*dpu(i,j,1,n)
do k=2,kk
delp= &
(min(p(i,j,k+1)+p(i-1,j,k+1), &
dpmixl(i,j,n)+dpmixl(i-1,j,n)) &
-min(p(i,j,k )+p(i-1,j,k ), &
dpmixl(i,j,n)+dpmixl(i-1,j,n)))
umix(i,j)=umix(i,j)+delp*u(i,j,k,n)
enddo !k
umix(i,j)=umix(i,j)/(dpmixl(i,j,n)+dpmixl(i-1,j,n))
endif !iu
enddo !i
enddo !j
!$OMP END PARALLEL DO
!
! --- calculate bulk mixed layer v
!
!$OMP PARALLEL DO PRIVATE(j,i,k,delp) &
!$OMP SCHEDULE(STATIC,jblk)
do j=1,jj
do i=1,ii
if (SEA_V) then
vmix(i,j)=v(i,j,1,n)*2.*dpv(i,j,1,n)
do k=2,kk
delp= &
(min(p(i,j,k+1)+p(i,j-1,k+1), &
dpmixl(i,j,n)+dpmixl(i,j-1,n)) &
-min(p(i,j,k )+p(i,j-1,k ), &
dpmixl(i,j,n)+dpmixl(i,j-1,n)))
vmix(i,j)=vmix(i,j)+delp*v(i,j,k,n)
enddo !k
vmix(i,j)=vmix(i,j)/(dpmixl(i,j,n)+dpmixl(i,j-1,n))
endif !iv
enddo !i
enddo !j
!$OMP END PARALLEL DO
endif ! diagno
!
return
end
subroutine mxpwpaj(m,n, j)
use mod_xc ! HYCOM communication interface
use mod_cb_arrays ! HYCOM saved arrays
implicit none
!
integer m,n, j
!
! --- calculate viscosity and diffusivity
!
integer i
!
do i=1,ii
if (SEA_P) then
call mxpwpaij(m,n, i,j)
endif !ip
enddo !i
!
return
end
!
subroutine mxpwpbj(m,n, j)
use mod_xc ! HYCOM communication interface
use mod_cb_arrays ! HYCOM saved arrays
implicit none
!
integer m,n, j
!
! --- final velocity mixing at u,v points
!
integer i
!
do i=1,ii
if (SEA_U) then
call mxpwpbiju(m,n, i,j)
endif !iu
enddo !i
!
do i=1,ii
if (SEA_V) then
call mxpwpbijv(m,n, i,j)
endif !iv
enddo !i
!
return
end
!
subroutine mxpwpaij(m,n, i,j)
use mod_xc ! HYCOM communication interface
use mod_cb_arrays ! HYCOM saved arrays
implicit none
!
! --- hycom version 2.1
!
integer m,n, i,j
!
! ----------------------------------------------
! --- pwp vertical mixing, single j-row (part A)
! ----------------------------------------------
!
! local variables for pwp mixing
real swfrac(kdm+1) ! fractional surface shortwave radiation flux
!
real t1d(kdm),s1d(kdm),th1d(kdm),tr1d(kdm,mxtrcr), &
dp1d(kdm),p1d(kdm+1),u1d(kdm),v1d(kdm),rig(kdm+1)
!
real dtemp,dsaln,rib,rigf,rig1,rig2,told,sold,trold,uold,vold, &
sflux1,tsum,ssum,trsum,usum,vsum,dpsum,tup,sup,thup, &
alfadt,betads, &
chl,qoneta
!
integer k,k1,k2,k3,k10,kmax,kmlb,kmlb1,kintf,ktr,iter,jrlv
!
# include "stmt_fns.h"
!
! -----------------------------------------------------------
! --- set 1-d arrays and locate deepest mass-containing layer
! -----------------------------------------------------------
!
p1d(1)=0.0
do k=1,kk
t1d (k)=temp(i,j,k,n)
s1d (k)=saln(i,j,k,n)
th1d(k)=sig(t1d(k),s1d(k))-thbase
do ktr= 1,ntracr
tr1d(k,ktr)=tracer(i,j,k,n,ktr)
enddo
dp1d(k)=dp(i,j,k,n)
p1d(k+1)=p1d(k)+dp1d(k)
u1d (k)=0.5*(u(i ,j, k,n)+u(i+1,j ,k,n))
v1d (k)=0.5*(v(i ,j ,k,n)+v(i ,j+1,k,n))
enddo !k
!
do k=kk,1,-1
if (dp1d(k).gt.tencm) then
exit !k
endif
enddo !k
kmax=max(k,2) !always consider at least 2 layers
!
qoneta = 1.0/oneta(i,j,n)
!
! ---------------------------------
! --- distribute surface t,s fluxes
! ---------------------------------
!
! --- forcing of t,s by surface fluxes. flux positive into ocean.
if (pensol) then
! --- shortwave flux penetration depends on kpar or chl or jerlov water type.
if (jerlv0.le.0) then
chl = akpar(i,j,lk0)*wk0+akpar(i,j,lk1)*wk1 &
+akpar(i,j,lk2)*wk2+akpar(i,j,lk3)*wk3
endif
call swfrac_ij(chl,p1d,kdm+1,qonem*oneta(i,j,n), &
jerlov(i,j),swfrac)
endif !pensol
!
do k=1,kk
if (thermo .or. sstflg.gt.0 .or. srelax) then
if (k.eq.1) then
if (pensol) then
sflux1=surflx(i,j)-sswflx(i,j)
dtemp=(sflux1+(1.-swfrac(k+1))*sswflx(i,j))* &
delt1*g*qoneta/(spcifh*max(onemm,dp1d(k)))
if (epmass.eq.1) then !only actual salt flux
dsaln= salflx(i,j)* &
delt1*g*qoneta/max(onemm,dp1d(k))
elseif (epmass.eq.2) then !river only is mass flux
dsaln=(salflx(i,j)- &
(wtrflx(i,j)-rivflx(i,j))*saln(i,j,1,n))* &
delt1*g*qoneta/max(onemm,dp1d(k))
else !water flux treated as a virtual salt flux
dsaln=(salflx(i,j)-wtrflx(i,j)*saln(i,j,1,n))* &
delt1*g*qoneta/max(onemm,dp1d(k))
endif
!diag if (i.eq.itest.and.j.eq.jtest) then
!diag write (lp,100) &
!diag nstep,i+i0,j+j0,k,0.,1.-swfrac(k+1),dtemp,dsaln
!diag call flush(lp)
!diag endif
100 format(i9,2i6,i4,'absorbup,dn,dtemp,dsaln ',2f6.3,2f10.6)
else !.not.pensol
dtemp=surflx(i,j)* &
delt1*g*qoneta/(spcifh*max(onemm,dp1d(k)))
if (epmass.eq.1) then !only actual salt flux
dsaln= salflx(i,j)* &
delt1*g*qoneta/max(onemm,dp1d(k))
elseif (epmass.eq.2) then !river only is mass flux
dsaln=(salflx(i,j)- &
(wtrflx(i,j)-rivflx(i,j))*saln(i,j,1,n))* &
delt1*g*qoneta/max(onemm,dp1d(k))
else !water flux treated as a virtual salt flux
dsaln=(salflx(i,j)-wtrflx(i,j)*saln(i,j,1,n))* &
delt1*g*qoneta/max(onemm,dp1d(k))
endif
endif
elseif (k.le.kmax) then
if (pensol) then
dtemp=(swfrac(k)-swfrac(k+1))*sswflx(i,j)*delt1*g*qoneta/ &
(spcifh*max(onemm,dp1d(k)))
dsaln=0.
!diag if (i.eq.itest.and.j.eq.jtest) then
!diag write (lp,100) &
!diag nstep,i+i0,j+j0,k,1.-swfrac(k),1.-swfrac(k+1),dtemp
!diag call flush(lp)
!diag endif
else !.not.pensol
dtemp=0.0
dsaln=0.0
endif
else !k.gt.kmax
dtemp=0.0
dsaln=0.0
endif
else !.not.thermo ...
dtemp=0.0
dsaln=0.0
endif !thermo.or.sstflg.gt.0.or.srelax:else
!
t1d(k)= t1d(k)+dtemp
s1d(k)=max(s1d(k)+dsaln,0.0) !must be non-negative
th1d(k)=sig(t1d(k),s1d(k))-thbase
enddo !k
!
! ----------------------------------------------
! --- Don't use PWP when relaxing to climatology
! ----------------------------------------------
!
if (rmu(i,j).ne.0.0) then
kmlb=kmax
do k=2,kmax
if (p1d(k).gt.thkmin*onem) then
kmlb=k-1
exit !k
endif
enddo !k
dpbl(i,j)=p1d(kmlb+1)
do k=1,kmax
temp(i,j,k,n)=t1d(k)
saln(i,j,k,n)=s1d(k)
th3d(i,j,k,n)=sig(t1d(k),s1d(k))-thbase
enddo !k
return
endif
!
! ------------------------------------------
! --- relieve mixed layer static instability
! ------------------------------------------
!
kmlb=1
tsum=t1d(1)*dp1d(1)
ssum=s1d(1)*dp1d(1)
dpsum=dp1d(1)
do k=2,kmax
if (locsig) then
tup=tsum/dpsum
sup=ssum/dpsum
alfadt=0.5*(dsiglocdt(tup,sup,dpsum)+ &
dsiglocdt(t1d(k),s1d(k),dpsum))*(tup-t1d(k))
betads=0.5*(dsiglocds(tup,sup,dpsum)+ &
dsiglocds(t1d(k),s1d(k),dpsum))*(sup-s1d(k))
if (alfadt+betads.gt.0.0) then
kmlb=k
tsum=tsum+t1d(k)*dp1d(k)
ssum=ssum+s1d(k)*dp1d(k)
dpsum=dpsum+dp1d(k)
else
exit !k
endif
else
thup=sig(tsum/dpsum,ssum/dpsum)-thbase
if (th1d(k).lt.thup) then
kmlb=k
tsum=tsum+t1d(k)*dp1d(k)
ssum=ssum+s1d(k)*dp1d(k)
dpsum=dpsum+dp1d(k)
else
exit !k
endif
endif
enddo !k
!
if (kmlb.gt.1) then
t1d(1)=tsum/dpsum
s1d(1)=ssum/dpsum
th1d(1)=sig(t1d(1),s1d(1))-thbase
do k=2,kmlb
t1d(k)=t1d(1)
s1d(k)=s1d(1)
th1d(k)=th1d(1)
do ktr= 1,ntracr
tr1d(k,ktr)=1.0
enddo !ktr
!
!diag if (i.eq.itest .and. j.eq.jtest) then
!diag write (lp,101) nstep,i+i0,j+j0,k,kmlb, &
!diag ' relieve static instability - t,s,th:', &
!diag t1d(k),s1d(k),tr1d(k,1)
!diag call flush(lp)
!diag endif
101 format (i9,2i6,2i4,a/9x,3f9.4)
enddo !k
endif !kmlb>1
!
! --- diagnose depth of mixed layer base and homogenize
call mlbdep(t1d,s1d,th1d,tr1d,u1d,v1d,p1d,dp1d,kmlb,kmax)
!
! ---------------------------------
! --- bulk richardson number mixing
! ---------------------------------
!
! --- mixing within the layer containing the mixed layer base
kmlb1=kmlb+1
tsum=t1d(1)*p1d(kmlb1)
ssum=s1d(1)*p1d(kmlb1)
usum=u1d(1)*p1d(kmlb1)
vsum=v1d(1)*p1d(kmlb1)
k10=kmlb
do k=kmlb1,kmax
k1=k-1
k2=k+1
if (locsig) then
alfadt=dsiglocdt(ahalf*(t1d(k1)+t1d(k)), &
ahalf*(s1d(k1)+s1d(k)),p1d(k))* &
(t1d(k1)-t1d(k))
betads=dsiglocds(ahalf*(t1d(k1)+t1d(k)), &
ahalf*(s1d(k1)+s1d(k)),p1d(k))* &
(s1d(k1)-s1d(k))
rib=-g*svref*p1d(k)*min(0.0,alfadt+betads)/ &
(onem*max(1.e-8,(u1d(k)-u1d(k1))**2+(v1d(k)-v1d(k1))**2))
else
rib=g*svref*p1d(k)*max(0.0,th1d(k)-th1d(k1))/ &
(onem*max(1.e-8,(u1d(k)-u1d(k1))**2+(v1d(k)-v1d(k1))**2))
endif
!
! --- if rib indicates instability, mix downward to the next interface
if (rib.lt.ribc.and.p1d(kk+1)-p1d(k+1).ge.tencm) then
!
tsum=tsum+t1d(k)*dp1d(k)
ssum=ssum+s1d(k)*dp1d(k)
do ktr= 1,ntracr
tr1d(k,ktr)=1.0
enddo
usum=usum+u1d(k)*dp1d(k)
vsum=vsum+v1d(k)*dp1d(k)
!
t1d(1)=tsum/p1d(k2)
s1d(1)=ssum/p1d(k2)
th1d(1)=sig(t1d(1),s1d(1))-thbase
u1d(1)=usum/p1d(k2)
v1d(1)=vsum/p1d(k2)
!
do k3=2,k
t1d (k3)=t1d (1)
s1d (k3)=s1d (1)
th1d(k3)=th1d(1)
do ktr= 1,ntracr
tr1d(k3,ktr)=1.0
enddo
u1d (k3)=u1d (1)
v1d (k3)=v1d (1)
!
!diag if (i.eq.itest .and. j.eq.jtest .and. k3.eq.k10) then
!diag write (lp,102) nstep,i+i0,j+j0,k,k1,k2,k3,kmlb, &
!diag ' bulk ri mixing - rib,t,s,th:',min(1000.0,rib), &
!diag t1d(k3),s1d(k3),th1d(k3)
!diag call flush(lp)
!diag endif
102 format (i9,2i6,5i4,a/9x,4f9.4)
!
enddo
kmlb=k
else
exit !k
endif
enddo !k
!
! --- diagnose depth of mixed layer base and homogenize
call mlbdep(t1d,s1d,th1d,tr1d,u1d,v1d,p1d,dp1d,kmlb,kmax)
!
! -------------------------------------
! --- gradient richardson number mixing
! -------------------------------------
!
! --- use array 'vcty' to store gradient Ri mixing factor for u,v mixing
!
do k=1,kk+1
vcty(i,j,k)=0.0
enddo
!
! --- perform up to 5 iterations
do iter=1,5
!
! --- calculate rig array
!
do k=kmlb+1,kmax
k1=k-1
if (locsig) then
alfadt=dsiglocdt(ahalf*(t1d(k1)+t1d(k)), &
ahalf*(s1d(k1)+s1d(k)),p1d(k))* &
(t1d(k1)-t1d(k))
betads=dsiglocds(ahalf*(t1d(k1)+t1d(k)), &
ahalf*(s1d(k1)+s1d(k)),p1d(k))* &
(s1d(k1)-s1d(k))
rig(k)=-g*min(dp1d(k1),dp1d(k))*svref* &
min(-1.0e-3,alfadt+betads)/(onem* &
max( 1.0e-6,(u1d(k1)-u1d(k))**2+(v1d(k1)-v1d(k))**2))
else
rig(k)=g*min(dp1d(k1),dp1d(k))*svref* &
max(1.0e-3,th1d(k)-th1d(k1))/(onem* &
max(1.0e-6,(u1d(k1)-u1d(k))**2+ &
(v1d(k1)-v1d(k))**2))
endif
!diag if (i.eq.itest .and. j.eq.jtest) then
!diag write(6,103) nstep,i+i0,j+j0,k,iter,th1d(k1)+thbase, &
!diag th1d(k)+thbase, &
!diag (u1d(k1)-u1d(k))**2+ &
!diag (v1d(k1)-v1d(k))**2,rig(k), &
!diag dp1d(k1)/onem,dp1d(k)/onem
!diag call flush(lp)
!diag endif
103 format('rig(k)',i9,2i6,2i4,1p,6e13.5)
enddo !k
!
! --- identify interface where rig has a vertical minimum at each grid point
kintf=0
rig2=huge(rig2)
do k=kmlb+1,kmax
if(rig(k).lt.rig2) then
kintf=k
rig2=rig(k)
end if
enddo !k
!
! --- if selected layer pair is unstable, mix to bring rig up to rigc
! --- store factor rig1 in array vcty for u,v mixing
if(rig2.lt.rigc) then
k=kintf
rig1=1.-rig2/rigc
vcty(i,j,k)=rig1
!
rigf=rig1*(t1d(k-1)-t1d(k))
told=t1d(k-1)
t1d(k-1)=t1d(k-1)-rigf*dp1d(k )/max(epsil,dp1d(k-1)+dp1d(k))
t1d(k )=t1d(k )+rigf*dp1d(k-1)/max(epsil,dp1d(k-1)+dp1d(k))
!diag if (i.eq.itest .and. j.eq.jtest.and.mnproc.eq.1) then
!diag if(k.gt.15.and.k.lt.22) then
!diag write(6,104) nstep,i+i0,j+j0,k,rigf,rig1,t1d(k-1),t1d(k), &
!diag dp1d(k-1)/onem,dp1d(k)/onem, &
!diag dp1d(min(kk,k+1))/onem
!diag call flush(lp)
!diag endif
104 format('rig mixing',i9,2i6,i4,1p,7e13.5)
!
rigf=rig1*(s1d(k-1)-s1d(k))
sold=s1d(k-1)
s1d(k-1)=s1d(k-1)-rigf*dp1d(k )/max(epsil,dp1d(k-1)+dp1d(k))
s1d(k )=s1d(k )+rigf*dp1d(k-1)/max(epsil,dp1d(k-1)+dp1d(k))
!
th1d(k-1)=sig(t1d(k-1),s1d(k-1))-thbase
th1d(k )=sig(t1d(k ),s1d(k ))-thbase
!
do ktr= 1,ntracr
rigf=rig1*(tr1d(k-1,ktr)-tr1d(k,ktr))
trold=tr1d(k-1,ktr)
tr1d(k-1,ktr)=tr1d(k-1,ktr)-rigf*dp1d(k )/ &
max(epsil,dp1d(k-1)+dp1d(k))
tr1d(k ,ktr)=tr1d(k ,ktr)+rigf*dp1d(k-1)/ &
max(epsil,dp1d(k-1)+dp1d(k))
enddo !ktr
!
rigf=rig1*(u1d(k-1)-u1d(k))
uold=u1d(k-1)
u1d(k-1)=u1d(k-1)-rigf*dp1d(k )/max(epsil,dp1d(k-1)+dp1d(k))
u1d(k )=u1d(k )+rigf*dp1d(k-1)/max(epsil,dp1d(k-1)+dp1d(k))
!
rigf=rig1*(v1d(k-1)-v1d(k))
vold=v1d(k-1)
v1d(k-1)=v1d(k-1)-rigf*dp1d(k )/max(epsil,dp1d(k-1)+dp1d(k))
v1d(k )=v1d(k )+rigf*dp1d(k-1)/max(epsil,dp1d(k-1)+dp1d(k))
!
end if !rig2<rigc
!
enddo !iter
!
! --- diagnose depth of mixed layer base and homogenize
call mlbdep(t1d,s1d,th1d,tr1d,u1d,v1d,p1d,dp1d,kmlb,kmax)
!
! ------------------------------------
! reset mixed layer and 3-d arrays
! ------------------------------------
!
dpbl(i,j)=p1d(kmlb+1)
!
do k=1,kmax
temp(i,j,k,n)=t1d(k)
saln(i,j,k,n)=s1d(k)
th3d(i,j,k,n)=sig(t1d(k),s1d(k))-thbase
do ktr= 1,ntracr
tracer(i,j,k,n,ktr)=tr1d(k,ktr)
enddo
enddo
!
return
end
!
subroutine mxpwpbiju(m,n, i,j)
use mod_xc ! HYCOM communication interface
use mod_cb_arrays ! HYCOM saved arrays
implicit none
!
! --- hycom version 2.1
!
real dpm,usum,rig1,rigf
integer m,n, i,j
integer k,kintf
!
! ----------------------------------------------------------------------------
! --- pwp vertical diffusion, single j-row (part A), momentum at u grid points
! ----------------------------------------------------------------------------
!
! --- bulk richardson number mixing
! --- homogenize u between the surface and interface kintf, the closest
! --- interface to the interpolated mixed layer thickness
!
dpm=0.5*(dpbl(i,j)+dpbl(i-1,j))
usum=0.0
kintf=2
pu(i,j,1)=0.0
!
do k=1,kk
pu(i,j,k+1)=pu(i,j,k)+dpu(i,j,k,n)
if (abs(dpm-pu(i,j,k+1)) .lt. abs(dpm-pu(i,j,k)) .and. &
depthu(i,j)-pu(i,j,k+1) .gt. tencm) then
kintf=k+1
usum=usum+u(i,j,k,n)*dpu(i,j,k,n)
endif
enddo
!
if (kintf.gt.2) then
u(i,j,1,n)=usum/pu(i,j,kintf)
do k=2,kintf-1
u(i,j,k,n)=u(i,j,1,n)
enddo
endif
!
! --- gradient richardson number mixing
!
do k=2,kk
rig1=0.5*(vcty(i,j,k)+vcty(i-1,j,k))
if (rig1.gt.0.0) then
rigf=rig1*(u(i,j,k-1,n)-u(i,j,k,n))
u(i,j,k-1,n)=u(i,j,k-1,n)-rigf*dpu(i,j,k ,n)/ &
max(epsil,dpu(i,j,k-1,n)+dpu(i,j,k,n))
u(i,j,k ,n)=u(i,j,k ,n)+rigf*dpu(i,j,k-1,n)/ &
max(epsil,dpu(i,j,k-1,n)+dpu(i,j,k,n))
endif
enddo
!
return
end
!
subroutine mxpwpbijv(m,n, i,j)
use mod_xc ! HYCOM communication interface
use mod_cb_arrays ! HYCOM saved arrays
implicit none
!
! --- hycom version 2.1
!
real dpm,vsum,rig1,rigf
integer m,n, i,j
integer k,kintf
!
! ----------------------------------------------------------------------------
! --- pwp vertical diffusion, single j-row (part A), momentum at v grid points
! ----------------------------------------------------------------------------
!
! --- bulk richardson number mixing
! --- homogenize v between the surface and interface kintf, the closest
! --- interface to the interpolated mixed layer thickness
!
dpm=0.5*(dpbl(i,j)+dpbl(i,j-1))
vsum=0.0
kintf=1
pv(i,j,1)=0.0
!
do k=1,kk
pv(i,j,k+1)=pv(i,j,k)+dpv(i,j,k,n)
if (abs(dpm-pv(i,j,k+1)) .lt. abs(dpm-pv(i,j,k)) .and. &
depthv(i,j)-pv(i,j,k+1) .gt. tencm) then
kintf=k+1
vsum=vsum+v(i,j,k,n)*dpv(i,j,k,n)
endif
enddo
!
if (kintf.gt.2) then
v(i,j,1,n)=vsum/pv(i,j,kintf)
do k=2,kintf-1
v(i,j,k,n)=v(i,j,1,n)
enddo
endif
!
! --- gradient richardson number mixing
!
do k=2,kk
rig1=0.5*(vcty(i,j,k)+vcty(i,j-1,k))
if (rig1.gt.0.0) then
rigf=rig1*(v(i,j,k-1,n)-v(i,j,k,n))
v(i,j,k-1,n)=v(i,j,k-1,n)-rigf*dpv(i,j,k ,n)/ &
max(epsil,dpv(i,j,k-1,n)+dpv(i,j,k,n))
v(i,j,k ,n)=v(i,j,k ,n)+rigf*dpv(i,j,k-1,n)/ &
max(epsil,dpv(i,j,k-1,n)+dpv(i,j,k,n))
endif
enddo
!
return
end
!
subroutine mlbdep(t1d,s1d,th1d,tr1d,u1d,v1d,p1d,dp1d,kmlb,kmax)
use mod_xc ! HYCOM communication interface
use mod_cb_arrays ! HYCOM saved arrays
implicit none
!
! --- hycom version 2.1
!
integer k,kmlb,kmax,ktr
real t1d(kdm),s1d(kdm),th1d(kdm),tr1d(kdm,mxtrcr), &
u1d(kdm),v1d(kdm),p1d(kdm+1),dp1d(kdm)
real tsum,ssum,usum,vsum,dpsum
!
# include "stmt_fns.h"
!
! --- -----------------------------------------------------------------------
! --- diagnose depth of the PWP mixed layer base and homogenize to that depth
! --- -----------------------------------------------------------------------
!
! --- set to depth of first interface deeper than thkmin across which
! --- the density jump exceeds 1.0e-4
kmlb=kmax
do k=2,kmax
if ((th1d(k)-th1d(k-1)).ge.1.0e-4 .and. &
p1d(k).gt.thkmin*onem) then
kmlb=k-1
exit !k
endif
enddo !k
!
if (kmlb.gt.1) then
tsum=t1d(1)*dp1d(1)
ssum=s1d(1)*dp1d(1)
usum=u1d(1)*dp1d(1)
vsum=v1d(1)*dp1d(1)
dpsum=dp1d(1)
do k=2,kmlb
tsum=tsum+t1d(k)*dp1d(k)
ssum=ssum+s1d(k)*dp1d(k)
usum=usum+u1d(k)*dp1d(k)
vsum=vsum+v1d(k)*dp1d(k)
dpsum=dpsum+dp1d(k)
enddo
!
t1d(1)=tsum/dpsum
s1d(1)=ssum/dpsum
th1d(1)=sig(t1d(1),s1d(1))-thbase
do ktr= 1,ntracr
tr1d(1,ktr)=1.0
enddo
u1d(1)=usum/dpsum
v1d(1)=vsum/dpsum
do k=2,kmlb
t1d(k)=t1d(1)
s1d(k)=s1d(1)
th1d(k)=th1d(1)
do ktr= 1,ntracr
tr1d(k,ktr)=1.0
enddo
u1d(k)=u1d(1)
v1d(k)=v1d(1)
enddo
endif
!
return
end
!
!
!> Revision history:
!>
!> Mar. 2004: minimum layer thickness used to calculate gradient Ri
!> Oct. 2010: replaced two calls to dsiglocdX with one call at mid-point
!> Oct. 2013 - added jerlv0=-1 and call to swfrac_ij
!> May 2014 - use land/sea masks (e.g. ip) to skip land
!> Aug. 2018 - added wtrflx, salflx now only actual salt flux
!> Nov. 2018 - allow for oneta in swfrac and surface fluxes
!> May 2024 - added epmass=2 for river only mass exchange
!> Feb. 2025 - printout now ok for kdm<1000 and idm,jdm<100,000