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sediment.f
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sediment.f
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! Part of Dflow3d a 3D Navier Stokes solver with variable density for
! simulations of near field dredge plume mixing
! Copyright (C) 2012 Lynyrd de Wit
! This program is free software: you can redistribute it and/or modify
! it under the terms of the GNU General Public License as published by
! the Free Software Foundation, either version 3 of the License, or
! (at your option) any later version.
! This program is distributed in the hope that it will be useful,
! but WITHOUT ANY WARRANTY; without even the implied warranty of
! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
! GNU General Public License for more details.
! You should have received a copy of the GNU General Public License
! along with this program. If not, see <http://www.gnu.org/licenses/>.
MODULE sediment
USE nlist
IMPLICIT NONE
CONTAINS
subroutine init_sediment
USE netcdf
implicit none
INTEGER n,n2
REAL Re_p,atm_pres,rhoair_z,zz,ddzz,z_rks(1:kmax),interpseries,gvector
integer :: ncid, rhVarId, status2, ndims, xtype,natts,status
integer, dimension(nf90_max_var_dims) :: dimids
integer size1,size2,size3,size4
DO n=1,nfrac
Re_p=ABS(frac(n)%ws)*frac(n)%dfloc/(ekm_mol/rho_b)
! hindered_settling = 1 !Hindered settling formula [-] 1=Rowe (1987) (smooth Ri-Za org) (default); 2=Garside (1977); 3=Di Felice (1999)
IF (hindered_settling.eq.1) THEN
! hindered settling function acc. to Rowe (1987),
! is the smoothed representation of the original Richardson and Zaki (1954) relations:
! determined for 0.04<c<0.55 and 0.001<Rep<3e4
frac(n)%n=(4.7+0.41*Re_p**0.75)/(1.+0.175*Re_p**0.75) -1.
ELSEIF (hindered_settling.eq.2) THEN
! hindered settling function acc. to Garside (1977),
! higher value of n than Rowe (1987)
! determined for 0.04<c<0.55 and 0.2<Rep<1e3
frac(n)%n=(5.1+0.27*Re_p**0.9)/(1.+0.1*Re_p**0.9)-1.
ELSEIF (hindered_settling.eq.3) THEN
! hindered settling function acc. to Di Felice (1999),
! much higher value of n than Rowe (1987) and Garside (1977)
! determined for 0<c<0.05 and 0.01<Rep<1e3
frac(n)%n=(6.5+0.3*Re_p**0.74)/(1.+0.1*Re_p**0.74)-1.
ENDIF
IF (rank.eq.0) THEN
write(*,*),'fraction #,ws,Re_p,n-factor hindered settling:',n,frac(n)%ws,Re_p,frac(n)%n+1.
ENDIF
ENDDO
rhocorr_air_z=1.
atm_pres=101325. !standard atmospheric pressure in Pa
gvector=sqrt(gx**2+gy**2+gz**2)
DO n=1,nair !correction for comppressible air
DO k=0,k1
zz=k*dz-0.5*dz
ddzz=zz-(depth-frac(nfrac_air(n))%zair_ref_belowsurf) !positive upward and defined wrt zair_ref_belowsurf
rhoair_z = ((frac(nfrac_air(n))%zair_ref_belowsurf-ddzz)*rho_b*gvector+atm_pres) /
& ((frac(nfrac_air(n))%zair_ref_belowsurf)*rho_b*gvector+atm_pres) * frac(nfrac_air(n))%rho
rhocorr_air_z(nfrac_air(n),k) = frac(nfrac_air(n))%rho / rhoair_z
ENDDO
ENDDO
wscorr_z=1.
DO n=1,nfrac
!simplified correction for startup settling velocity as function of initial vertical level, relevant for coarser rocks, correction Miedema 1981 as mentioned in TU Delft MSc thesis Ravelli 2012
IF (frac(n)%CD>0.) THEN
DO k=0,k1
zz=k*dz-0.5*dz
ddzz=-zz+(depth-frac(n)%zair_ref_belowsurf) !positive downward and defined wrt zair_ref_belowsurf
wscorr_z(n,k) = sqrt(1.-exp(-1.5*frac(n)%CD/frac(n)%dpart*rho_b/frac(n)%rho*MAX(0.,ddzz)))
ENDDO
ENDIF
ENDDO
DO k=1,kmax
z_rks(k)=k*dz-0.5*dz
ENDDO
IF (av_slope_z(1)<0.) THEN
av_slope(1:imax,1:jmax,0:k1)=avalanche_slope(1)
ELSE
IF (av_slope_z(1)>0.) CALL writeerror(141)
n=1
DO WHILE (av_slope_z(n+1)>0.)
n=n+1
IF (av_slope_z(n)-av_slope_z(n-1)<0.) CALL writeerror(141)
END DO
IF (av_slope_z(n)<depth) CALL writeerror(141)
IF (avalanche_slope(n)<0.) CALL writeerror(142)
n2=0
DO k=1,kmax
av_slope(1:imax,1:jmax,k)=interpseries(av_slope_z(1:n),avalanche_slope(1:n),n2,z_rks(k))
ENDDO
av_slope(1:imax,1:jmax,0)=av_slope(1:imax,1:jmax,1)
av_slope(1:imax,1:jmax,k1)=av_slope(1:imax,1:jmax,kmax)
ENDIF
if (avfile.ne.'') then
status2 = nf90_open(avfile, nf90_NoWrite, ncid)
IF (status2/= nf90_noerr) THEN
write(*,*),'file =',avfile
CALL writeerror(703)
ENDIF
status = nf90_inq_varid(ncid, "av_slope",rhVarid)
if (status.eq.nf90_NoErr) then
call check( nf90_inquire_variable(ncid, rhVarid, dimids = dimIDs))
call check( nf90_inquire_dimension(ncid, dimIDs(1), len = size1))
call check( nf90_inquire_dimension(ncid, dimIDs(2), len = size2))
call check( nf90_inquire_dimension(ncid, dimIDs(3), len = size3))
IF(size1.ne.imax.or.size2.ne.jmax*px.or.size3.ne.k1+1) CALL writeerror(704)
call check( nf90_get_var(ncid,rhVarid,av_slope(1:imax,1:jmax,0:k1),
& start=(/1,rank*jmax+1,1/),count=(/imax,jmax,k1+1/)) )
else
write(*,*),'file =',avfile,' variable "av_slope" not found '
CALL writeerror(704)
endif
call check( nf90_close(ncid) )
endif
!IF (rank.eq.0) write(*,*),av_slope,z_rks,av_slope_z(1:n),avalanche_slope(1:n)
END SUBROUTINE init_sediment
SUBROUTINE slipvelocity(csed,Wcfd,wsed,rr,k1b,k1e,sumWkm,dt,dz)
implicit none
INTEGER n,kp ! local variables!
REAL wsed(nfrac,0:i1,0:j1,0:k1)
REAL csed(nfrac,0:i1,0:j1,0:k1),csed2(nfrac,0:i1,0:j1,0:k1)
REAL Wcfd(0:i1,0:j1,0:k1),sumWkm(0:i1,0:j1,0:k1)
REAL rr(0:i1,0:j1,0:k1),rr2(0:i1,0:j1,0:k1)
REAL ctot,sum_c_ws,ws(nfrac),ccc(nfrac)
INTEGER k1b,k1e,kpp,km,iter,kplus,kplus2
REAL dt_dzi,noemer,rrpos,rrneg,limiter,dt,dz,ws_basis(nfrac),W_km_sum
dt_dzi=dt/dz
IF (k1b.eq.1.and.k1e.eq.(k1-1)) THEN ! ws in flow domain is determined
DO n=1,nfrac
ws_basis(n)=frac(n)%ws
ENDDO
ELSE ! ws at bed for ero-depo is determined
DO n=1,nfrac
ws_basis(n)=frac(n)%ws_dep
ENDDO
ENDIF
csed2=cW !csed
IF (applyVOF.eq.1) THEN
call state_edges(cW,rhW)
ENDIF
rr2=rhW
IF (applyVOF.eq.1) THEN
rhW=rho_b
ENDIF
if (nobst>0.or.bedlevelfile.ne.''.or.interaction_bed.ge.4) then ! default C(k=0)=C(k=1); therefore only for cases when bed is not necessarily at k=0 this fix is needed:
DO i=0,i1
DO j=0,j1
kplus = MIN(kbed(i,j)+1,k1)
kplus2 = MIN(kbed(i,j)+2,k1)
!rr2(i,j,kbed(i,j))=rr2(i,j,kplus) ! apply neumann boundary over obstacles to get correct drift flux settling
rr2(i,j,kbed(i,j))=rr(i,j,kplus) ! make rhW(kbed) equal to rho fluid first cell above to get correct drift flux settling
!rr2(i,j,kbed(i,j))=1.5*rr(i,j,kplus)-0.5*rr(i,j,kplus2)
DO n=1,nfrac
!csed2(n,i,j,kbed(i,j))=csed2(n,i,j,kplus) ! apply neumann boundary over obstacles to get correct drift flux settling
csed2(n,i,j,kbed(i,j))=csed(n,i,j,kplus) ! apply neumann boundary over obstacles to get correct drift flux settling
!csed2(n,i,j,kbed(i,j))=1.5*csed(n,i,j,kplus)-0.5*csed(n,i,j,kplus2)
ENDDO
ENDDO
ENDDO
endif
IF (slipvel.eq.2) THEN ! no hindered settling
DO i=0,i1
DO j=0,j1
DO k=k1b,k1e ! at k=0 wsed should be zero at kmax wsed is calculated
ctot=0.
sum_c_ws=0.
kp = MIN(k+1,k1)
DO n=1,nfrac
ccc(n) = csed2(n,i,j,k) !0.5*(csed2(n,i,j,k) + csed2(n,i,j,kp))
ctot=ccc(n)*frac(n)%dfloc/frac(n)%dpart*0.5*(rhocorr_air_z(n,k)+rhocorr_air_z(n,kp))+ctot
ws(n)=ws_basis(n)*wscorr_z(n,k)
! ws is positive downward, wsed is positive upward
sum_c_ws=sum_c_ws+ws(n)*ccc(n)*frac(n)%rho/rr2(i,j,k) !(0.5*(rr2(i,j,k)+rr2(i,j,kp)))
!! ! According to drift velocity literature the drift flux is calculated using the mass-fraction in stead of volume-fraction,
!! ! because sum_c_ws is slipvelocity relative to mixture velocity not relative to volumetric flux!
! therefore an extra frac(n)%rho/rho_mix is included
ENDDO
ctot=MIN(ctot,1.) ! limit on 1, see also Winterwerp 1999 p.46, because Cfloc can be >1
DO n=1,nfrac
wsed(n,i,j,k)=Wcfd(i,j,k)+sum_c_ws-ws(n) ! wsed is positive upward
ENDDO
W_km_sum=0.
do n=1,nfrac
W_km_sum=W_km_sum+ccc(n)*frac(n)%rho*(wsed(n,i,j,k)-Wcfd(i,j,k))
enddo
W_km_sum=W_km_sum+(1.-ctot)*rho_b*sum_c_ws !sum_c_ws=fluid return velocity --> slipvelocity of fluid relative to mixture-velocity
sumWkm(i,j,k)=W_km_sum !NEW 2-10-2018: contains sum of all fractions and fluid phase drift velocity for correct determination driftflux-force
ENDDO
ENDDO
ENDDO
ELSE ! hindered settling
DO i=0,i1
DO j=0,j1
DO k=k1b,k1e ! at k=0 wsed should be zero at kmax wsed is calculated
ctot=0.
sum_c_ws=0.
kp = MIN(k+1,k1)
DO n=1,nfrac
ccc(n) = csed2(n,i,j,k) !0.5*(csed2(n,i,j,k) + csed2(n,i,j,kp))
ctot=ccc(n)*frac(n)%dfloc/frac(n)%dpart*0.5*(rhocorr_air_z(n,k)+rhocorr_air_z(n,kp))+ctot
! for mud Cfloc must be used to calculate Ctot (Cfloc=Ctot*dfloc/dpart)
! ccc(n) is used in drift flux correction sum_c_ws which is calculated with mass concentration based on Ctot (not on Cfloc)
ENDDO
ctot=MIN(ctot,1.) ! limit on 1, see also Winterwerp 1999 p.46, because Cfloc can be >1
DO n=1,nfrac
ws(n)=ws_basis(n)*(1.-ctot)**(frac(n)%n)*wscorr_z(n,k) !frac(n)%n lowered with one already
! ws is positive downward, wsed is positive upward
! Ri_Za is defined with volume concentration ctot
sum_c_ws=sum_c_ws+ws(n)*ccc(n)*frac(n)%rho/rr2(i,j,k) !(0.5*(rr2(i,j,k)+rr2(i,j,kp)))
!! ! According to drift velocity literature the drift flux is calculated using the mass-fraction in stead of volume-fraction,
!! ! because sum_c_ws is slipvelocity relative to mixture velocity not relative to volumetric flux!
! therefore an extra frac(n)%rho/rho_mix is included
ENDDO
DO n=1,nfrac
wsed(n,i,j,k)=Wcfd(i,j,k)+sum_c_ws-ws(n) ! wsed is positive upward
ENDDO
! DO iter=1,1
! ! TVD interpolation csed for correct return current in drift flux:
! ! calculate all again with new TVD interpolation of csed and use first calculation as first guess of direction Wsed
! ctot=0.
! sum_c_ws=0.
! DO n=1,nfrac
! noemer = csed(n,i,j,kp)-csed(n,i,j,k)
! noemer = MAX(ABS(noemer),1.e-6)*sign(1.,noemer)
! rrpos = (csed(n,i,j,k)-csed(n,i,j,km))/noemer
! rrneg = (csed(n,i,j,kpp+1)-csed(n,i,j,kp))/noemer
! if (Wsed(n,i,j,k)>0.) then
! ccc(n)=csed(n,i,j,k )+0.5*limiter(rrpos)*(csed(n,i,j,kp)-csed(n,i,j,k ))*(1.-dt_dzi*ABS(Wsed(n,i,j,k)))
! else
! ccc(n)=csed(n,i,j,kp)+0.5*limiter(rrneg)*(csed(n,i,j,k )-csed(n,i,j,kp))*(1.-dt_dzi*ABS(Wsed(n,i,j,k)))
! endif
! ctot=ccc(n)*frac(n)%dfloc/frac(n)%dpart+ctot
! ENDDO
! ctot=MIN(ctot,1.) ! limit on 1, see also Winterwerp 1999 p.46, because Cfloc can be >1
! DO n=1,nfrac
! ws(n)=frac(n)%ws*(1.-ctot)**(frac(n)%n) !frac(n)%n lowered with one already
! sum_c_ws=sum_c_ws+ws(n)*ccc(n)*frac(n)%rho/(0.5*(rr(i,j,k)+rr(i,j,kp)))
! ENDDO
! DO n=1,nfrac
! wsed(n,i,j,k)=Wcfd(i,j,k)+sum_c_ws-ws(n) ! wsed is positive upward
! ENDDO
! ENDDO
W_km_sum=0.
do n=1,nfrac
W_km_sum=W_km_sum+ccc(n)*frac(n)%rho*(wsed(n,i,j,k)-Wcfd(i,j,k))
enddo
W_km_sum=W_km_sum+(1.-ctot)*rho_b*sum_c_ws !sum_c_ws=fluid return velocity --> slipvelocity of fluid relative to mixture-velocity
sumWkm(i,j,k)=W_km_sum !NEW 2-10-2018: contains sum of all fractions and fluid phase drift velocity for correct determination driftflux-force
ENDDO
ENDDO
ENDDO
ENDIF
IF (k1b.eq.1.and.k1e.eq.(k1-1)) THEN
DO i=0,i1
DO j=0,j1
DO n=1,nfrac
wsed(n,i,j,kbed(i,j))=Wcfd(i,j,kbed(i,j)) ! prevent sediment to flow through the bed or bed-obstacles
wsed(n,i,j,k1)=Wcfd(i,j,k1) ! prevent sediment to flow out of free surface
wsed(n,i,j,k1-1)=-wsed(n,i,j,k1-1)*MIN(0.,frac(n)%ws/(ABS(frac(n)%ws)+1.e-12)) !limit wsed at zero for fractions with downward settling velocity--> no transport of sediment in/out domain at top, but air may escape
ENDDO
ENDDO
ENDDO
Wsed(:,:,:,0)=0.
ENDIF
END SUBROUTINE slipvelocity
SUBROUTINE slipvelocity_bed(csed,Wcfd,wsed,rr,sumWkm,dt,dz)
implicit none
INTEGER n,kp ! local variables!
REAL wsed(nfrac,0:i1,0:j1,0:k1)
REAL csed(nfrac,0:i1,0:j1,0:k1),csed2(nfrac,0:i1,0:j1,0:k1)
REAL Wcfd(0:i1,0:j1,0:k1),sumWkm(0:i1,0:j1,0:k1)
REAL rr(0:i1,0:j1,0:k1),rr2(0:i1,0:j1,0:k1)
REAL ctot,sum_c_ws,ws(nfrac),ccc(nfrac)
INTEGER kpp,km,iter,kplus,kplus2
REAL dt_dzi,noemer,rrpos,rrneg,limiter,dt,dz,ws_basis(nfrac),W_km_sum
dt_dzi=dt/dz
DO n=1,nfrac
ws_basis(n)=frac(n)%ws_dep
ENDDO
csed2=cW !csed
IF (applyVOF.eq.1) THEN
call state_edges(cW,rhW)
ENDIF
rr2=rhW
IF (applyVOF.eq.1) THEN
rhW=rho_b
ENDIF
if (nobst>0.or.bedlevelfile.ne.''.or.interaction_bed.ge.4) then ! default C(k=0)=C(k=1); therefore only for cases when bed is not necessarily at k=0 this fix is needed:
DO i=0,i1
DO j=0,j1
kplus = MIN(kbed(i,j)+1,k1)
kplus2 = MIN(kbed(i,j)+2,k1)
!rr2(i,j,kbed(i,j))=rr2(i,j,kplus) ! apply neumann boundary over obstacles to get correct drift flux settling
rr2(i,j,kbed(i,j))=rr(i,j,kplus) ! make rhW(kbed) equal to rho fluid first cell above to get correct drift flux settling
!rr2(i,j,kbed(i,j))=1.5*rr(i,j,kplus)-0.5*rr(i,j,kplus2)
DO n=1,nfrac
!csed2(n,i,j,kbed(i,j))=csed2(n,i,j,kplus) ! apply neumann boundary over obstacles to get correct drift flux settling
csed2(n,i,j,kbed(i,j))=csed(n,i,j,kplus) ! apply neumann boundary over obstacles to get correct drift flux settling
!csed2(n,i,j,kbed(i,j))=1.5*csed(n,i,j,kplus)-0.5*csed(n,i,j,kplus2)
ENDDO
ENDDO
ENDDO
endif
IF (slipvel.eq.2) THEN ! no hindered settling
DO i=0,i1
DO j=0,j1
k=kbed(i,j)
!DO k=k1b,k1e ! at k=0 wsed should be zero at kmax wsed is calculated
ctot=0.
sum_c_ws=0.
kp = MIN(k+1,k1)
DO n=1,nfrac
ccc(n) = csed2(n,i,j,k) !0.5*(csed2(n,i,j,k) + csed2(n,i,j,kp))
ctot=ccc(n)*frac(n)%dfloc/frac(n)%dpart*0.5*(rhocorr_air_z(n,k)+rhocorr_air_z(n,kp))+ctot
ws(n)=ws_basis(n)*wscorr_z(n,k)
! ws is positive downward, wsed is positive upward
sum_c_ws=sum_c_ws+ws(n)*ccc(n)*frac(n)%rho/rr2(i,j,k) !(0.5*(rr2(i,j,k)+rr2(i,j,kp)))
!! ! According to drift velocity literature the drift flux is calculated using the mass-fraction in stead of volume-fraction,
!! ! because sum_c_ws is slipvelocity relative to mixture velocity not relative to volumetric flux!
! therefore an extra frac(n)%rho/rho_mix is included
ENDDO
ctot=MIN(ctot,1.) ! limit on 1, see also Winterwerp 1999 p.46, because Cfloc can be >1
DO n=1,nfrac
!wsed(n,i,j,k)=Wcfd(i,j,k)+sum_c_ws-ws(n) ! wsed is positive upward
wsed(n,i,j,k)=sum_c_ws-ws(n) ! wsed is positive upward at bed Wcfd is zero
ENDDO
W_km_sum=0.
do n=1,nfrac
!W_km_sum=W_km_sum+ccc(n)*frac(n)%rho*(wsed(n,i,j,k)-Wcfd(i,j,k))
W_km_sum=W_km_sum+ccc(n)*frac(n)%rho*(wsed(n,i,j,k)) !at bed Wcfd is zero
enddo
W_km_sum=W_km_sum+(1.-ctot)*rho_b*sum_c_ws !sum_c_ws=fluid return velocity --> slipvelocity of fluid relative to mixture-velocity
sumWkm(i,j,k)=W_km_sum !NEW 2-10-2018: contains sum of all fractions and fluid phase drift velocity for correct determination driftflux-force
!ENDDO
ENDDO
ENDDO
ELSE ! hindered settling
DO i=0,i1
DO j=0,j1
!DO k=k1b,k1e ! at k=0 wsed should be zero at kmax wsed is calculated
k=kbed(i,j)
ctot=0.
sum_c_ws=0.
kp = MIN(k+1,k1)
DO n=1,nfrac
ccc(n) = csed2(n,i,j,k) !0.5*(csed2(n,i,j,k) + csed2(n,i,j,kp))
ctot=ccc(n)*frac(n)%dfloc/frac(n)%dpart*0.5*(rhocorr_air_z(n,k)+rhocorr_air_z(n,kp))+ctot
! for mud Cfloc must be used to calculate Ctot (Cfloc=Ctot*dfloc/dpart)
! ccc(n) is used in drift flux correction sum_c_ws which is calculated with mass concentration based on Ctot (not on Cfloc)
ENDDO
ctot=MIN(ctot,1.) ! limit on 1, see also Winterwerp 1999 p.46, because Cfloc can be >1
DO n=1,nfrac
ws(n)=ws_basis(n)*(1.-ctot)**(frac(n)%n)*wscorr_z(n,k) !frac(n)%n lowered with one already
! ws is positive downward, wsed is positive upward
! Ri_Za is defined with volume concentration ctot
sum_c_ws=sum_c_ws+ws(n)*ccc(n)*frac(n)%rho/rr2(i,j,k) !(0.5*(rr2(i,j,k)+rr2(i,j,kp)))
!! ! According to drift velocity literature the drift flux is calculated using the mass-fraction in stead of volume-fraction,
!! ! because sum_c_ws is slipvelocity relative to mixture velocity not relative to volumetric flux!
! therefore an extra frac(n)%rho/rho_mix is included
ENDDO
DO n=1,nfrac
!wsed(n,i,j,k)=Wcfd(i,j,k)+sum_c_ws-ws(n) ! wsed is positive upward
wsed(n,i,j,k)=sum_c_ws-ws(n) ! wsed is positive upward at bed Wcfd must be zero
ENDDO
W_km_sum=0.
do n=1,nfrac
!W_km_sum=W_km_sum+ccc(n)*frac(n)%rho*(wsed(n,i,j,k)-Wcfd(i,j,k))
W_km_sum=W_km_sum+ccc(n)*frac(n)%rho*(wsed(n,i,j,k)) !at bed Wcfd is zero
enddo
W_km_sum=W_km_sum+(1.-ctot)*rho_b*sum_c_ws !sum_c_ws=fluid return velocity --> slipvelocity of fluid relative to mixture-velocity
sumWkm(i,j,k)=W_km_sum !NEW 2-10-2018: contains sum of all fractions and fluid phase drift velocity for correct determination driftflux-force
!ENDDO
ENDDO
ENDDO
ENDIF
END SUBROUTINE slipvelocity_bed
subroutine erosion_deposition(ccnew,cbotnew,ucfd,vcfd,wcfd,rcfd,ccfd,cbotcfd,ddt,dz)
implicit none
include 'mpif.h'
integer ierr
real wsed(nfrac,0:i1,0:j1,0:k1),erosion,deposition,uu,vv,absU,z0,ust,yplus,tau !local variables
integer n,tel,kplus,n1,k2,kk,n2
REAL ccnew(nfrac,0:i1,0:j1,0:k1),cbotnew(nfrac,0:i1,0:j1) ! output
REAL ccfd(nfrac,0:i1,0:j1,0:k1),cbotcfd(nfrac,0:i1,0:j1) ! input
REAL ddt,dz ! input
REAL ucfd(0:i1,0:j1,0:k1),vcfd(0:i1,0:j1,0:k1),wcfd(0:i1,0:j1,0:k1),rcfd(0:i1,0:j1,0:k1) ! input
REAL sumWkm(0:i1,0:j1,0:k1) !dummy
REAL cbottot,kn_sed_avg,Mr_avg,tau_e_avg,ctot_firstcel,cbotnewtot,cbotnewtot_pos
REAL PSD_bot_sand_massfrac(nfr_sand),PSD_bed_sand_massfrac(nfr_sand),PSD_sand(0:nfr_sand),factor,d50
REAL cbottot_sand,mbottot_sand,cbedtot,mbedtot_sand,diameter_sand_PSD(0:nfr_sand)
REAL cbedtot_sand,rho_botsand,rho_bedsand,rho_sand,delta,Dstar,Shields_cr,ustc2,TT,phipp,erosion_sand
REAL ws_botsand,ws_bedsand,ws_sand,Re_p,CD,Shields_eff,dubdt,Fd,Fi,Fl,W
REAL erosionf(nfrac),depositionf(nfrac),erosion_avg(nfrac)
REAL zb_all(0:i1,0:j1),maxbedslope(0:i1,0:j1),sl1,sl2,sl3,sl4,sl5,sl6,sl7,sl8
REAL d_cbotnew(nfrac,0:i1,0:j1),dbed,dl,dbed_allowed,dbed_adjust,dz_botlayer,c_adjust,c_adjustA,c_adjustB
REAL*8 cbf(nfrac,0:i1),cbb(nfrac,0:i1),zbf(0:i1),zbb(0:i1),reduced_sed
INTEGER itrgt,jtrgt,nav,n_av,kplus2,kpp
REAL ws_botsand2,rho_botsand2,mbottot_sand2,PSD_bot_sand_massfrac2(nfr_sand),have_avalanched,have_avalanched_tmp,cctot
REAL ccfdtot_firstcel,wsedbed,distance_to_bed,zb_W,gvector,ero_factor
REAL pickup_random(1:imax,1:jmax),vs,ve,Uhor(1:imax,1:jmax,1:kmax),cbed,uu2,vv2,bed_slope,facx,facy,bs_geo
REAL qb,MMM,MME,flux,ucr,qbf(1:nfrac),uuRrel,uuLrel,vvRrel,vvLrel,Shields,absUbl,ve_check,ustbl
integer clock,nnn,k_maxU,itrgt2,jtrgt2
INTEGER, DIMENSION(:), ALLOCATABLE :: seed
INTEGER kbedp(0:i1,0:j1),ibeg,iend,kppE,kppW,kppN,kppS,kbed_new(0:i1,0:j1),k_ust_tau_temp
REAL dzbed_dx,dzbed_dy,dzbed_dn,dzbed_ds,bedslope_angle,bedslope_alpha,Shields_cr_bl,fnorm,dzbed_dl,fcor_slope
REAL ppp(0:i1,0:j1,0:k1),Fix,Fiy,ddzzE,ddzzW,ddzzS,ddzzN,ustu2,ustv2,ww,c_adjust1,c_adjust2,dz1
REAL dzbed_dl2,dzbed_dl3,vwal_x,vwal_y,dzB,bwal,fluxA,fluxB,fluxC,fluxD,absUU,fcor_pres
REAL zb_avg(0:i1,0:j1),dbedL,dbedR,Shields_cr_den,Shields_cr_num,Shields_cr_den_bl,Shields_cr_num_bl,i_curved
REAL ppp_avg(0:i1,0:j1),ppp_avg2(0:i1,0:j1),absU_rks(1:kmax)
erosion=0.
deposition=0.
! IF (nobst>0.or.bedlevelfile.ne.''.or.interaction_bed.eq.4.or.interaction_bed.eq.6) THEN
! call slipvelocity(ccfd,wcfd,wsed,rcfd,0,k1-1,sumWkm,ddt,dz)
! !determine wsed on top of obstacles (actually everywhere in the domain) --> Wsed is not zero on kbed(i,j) in this manner!
! ELSE
! call slipvelocity(ccfd,wcfd,wsed,rcfd,0,0,sumWkm,ddt,dz)
! ENDIF
!call slipvelocity_bed(ccfd,wcfd,wsed,rcfd,sumWkm,ddt,dz)
call slipvelocity_bed(ccfd,0.*wcfd,wsed,rcfd,sumWkm,ddt,dz)
IF (interaction_bed.ge.4) THEN
DO i=1,imax
DO j=1,jmax
zbed(i,j)=REAL(MAX(kbed(i,j)-1,0))*dz+(SUM(cbotcfd(1:nfrac,i,j))+SUM(Clivebed(1:nfrac,i,j,kbed(i,j))))/cfixedbed*dz
ENDDO
ENDDO
call bound_cbot(zbed)
ENDIF
IF (IBMorder.eq.2) THEN
DO i=0,i1
DO j=0,j1
zb_W=zbed(i,j)
! kpp=MIN(CEILING(zb_W/dz+0.5)-1+k_ust_tau,k1) !for k_ust_tau=2 kpp is between 1*dz-2*dz distance from bed
! IF (distance_to_bed<0.5*dz) THEN !first cell too close to bed, therefore use second cell (1-1.5)*dz distance from bed
! kpp=MIN(kpp+1,k1) !kpp is in principle between 1*dz-2*dz distance from bed, but due to this if-statement only 1-1.5 from bed
! distance_to_bed=(REAL(kpp)-0.5)*dz-zb_W
! ENDIF
kpp=MIN(CEILING(zb_W/dz+k_ust_tau),k1) !between 0.5-1.5dz from bed for k_ust_tau=1
!kpp=MIN(CEILING(zb_W/dz+0.5),k1) !kpp is between 0-dz distance from bed
distance_to_bed=(REAL(kpp)-0.5)*dz-zb_W
kbedp(i,j)=kpp
ENDDO
ENDDO
ELSE
DO i=0,i1
DO j=0,j1
kbedp(i,j)=MIN(kbed(i,j)+k_ust_tau,k1)
ENDDO
ENDDO
ENDIF
IF (pres_in_predictor_step.eq.0) THEN
ppp(1:imax,1:jmax,1:kmax)=p
ELSE
ppp(1:imax,1:jmax,1:kmax)=pold+p
ENDIF
call bound_3D(ppp)
!!! IF(time_n.ge.tstart_morf) THEN
!!! IF (wallmodel_tau_sed.eq.3.or.wallmodel_tau_sed.eq.4.or.wallmodel_tau_sed.eq.8.or.wallmodel_tau_sed.eq.9) THEN
!!!! DO i=1,imax
!!!! DO j=1,jmax
!!!! ppp_avg2(i,j)=0.25*ppp(i-1,j,kbedp(i-1,j))+0.5*ppp(i,j,kbedp(i,j))+0.25*ppp(i+1,j,kbedp(i+1,j))
!!!! ENDDO
!!!! ENDDO
!!!! call bound_cbot(ppp_avg2)
!!!! DO i=1,imax
!!!! DO j=1,jmax
!!!! ppp_avg(i,j)=0.25*ppp_avg2(i,j-1)+0.5*ppp_avg2(i,j)+0.25*ppp_avg2(i,j+1)
!!!! ENDDO
!!!! ENDDO
!!!! call bound_cbot(ppp_avg)
!!! DO i=2,imax-1 !leave inflow and outflow dpdx zero 1,imax
!!! DO j=1,jmax
!!!! Fix = (ppp(i+1,j,kbedp(i+1,j))-ppp(i-1,j,kbedp(i-1,j)))/(Rp(i+1)-Rp(i-1))/rcfd(i,j,kbedp(i,j))
!!!! Fiy = (ppp(i,j+1,kbedp(i,j+1))-ppp(i,j-1,kbedp(i,j-1)))/(Rp(i)*(phip(j+1)-phip(j-1)))/rcfd(i,j,kbedp(i,j))
!!! Fix = (ppp(i+1,j,kbedp(i+1,j))-ppp(i-1,j,kbedp(i-1,j)))/sqrt((Rp(i+1)-Rp(i-1))**2+(zbed(i+1,j)-zbed(i-1,j))**2)
!!! & /rcfd(i,j,kbedp(i,j))
!!! Fiy = (ppp(i,j+1,kbedp(i,j+1))-ppp(i,j-1,kbedp(i,j-1)))/sqrt((Rp(i)*(phip(j+1)-phip(j-1)))**2+(zbed(i,j+1)-zbed(i,j-1))**2)
!!! & /rcfd(i,j,kbedp(i,j))
!!!! Fix = (ppp_avg(i+1,j)-ppp_avg(i-1,j))/sqrt((Rp(i+1)-Rp(i-1))**2+(zbed(i+1,j)-zbed(i-1,j))**2)/rcfd(i,j,kbedp(i,j))
!!!! Fiy = (ppp_avg(i,j+1)-ppp_avg(i,j-1))/sqrt((Rp(i)*(phip(j+1)-phip(j-1)))**2+(zbed(i,j+1)-zbed(i,j-1))**2)/rcfd(i,j,kbedp(i,j))
!!! TBLEsed_dpdx(i,j)=TBLEsed_grad_relax*Fix+(1.-TBLEsed_grad_relax)*TBLEsed_dpdx(i,j)
!!! TBLEsed_dpdy(i,j)=TBLEsed_grad_relax*Fiy+(1.-TBLEsed_grad_relax)*TBLEsed_dpdy(i,j)
!!! ENDDO
!!! ENDDO
!!! ENDIF
!!! ENDIF
IF (wallmodel_tau_sed.eq.11) THEN
IF (mod(istep,ndtbed).eq.0) THEN
telUVWbed=telUVWbed+1
IF (telUVWbed>nrmsbed) telUVWbed=1
ENDIF
ENDIF
d_cbotnew = 0.
IF (interaction_bed.le.3.and.time_n.ge.tstart_morf) THEN ! erosion sedimentation without bed update and for each sediment fraction independently
DO i=1,imax
DO j=1,jmax
IF (k_ust_tau_sed_range(1)>0) THEN
absU_rks = 0.
tel=k_ust_tau_sed_range(1)
DO k=k_ust_tau_sed_range(1),k_ust_tau_sed_range(2)
IF (IBMorder.eq.2) THEN
kppE=MIN(CEILING(0.5*(zbed(i,j)+zbed(i+1,j))/dz+k),k1) !between 0.5-1.5dz from bed for k=1
kppW=MIN(CEILING(0.5*(zbed(i,j)+zbed(i-1,j))/dz+k),k1)
kppN=MIN(CEILING(0.5*(zbed(i,j)+zbed(i,j+1))/dz+k),k1)
kppS=MIN(CEILING(0.5*(zbed(i,j)+zbed(i,j-1))/dz+k),k1)
ddzzE=(REAL(kppE)-0.5)*dz-0.5*(zbed(i,j)+zbed(i+1,j))
ddzzW=(REAL(kppW)-0.5)*dz-0.5*(zbed(i,j)+zbed(i-1,j))
ddzzN=(REAL(kppN)-0.5)*dz-0.5*(zbed(i,j)+zbed(i,j+1))
ddzzS=(REAL(kppS)-0.5)*dz-0.5*(zbed(i,j)+zbed(i,j-1))
!distance_to_bed=MAX(0.5*dz,0.25*(ddzzE+ddzzW+ddzzN+ddzzS))
distance_to_bed=0.25*(ddzzE+ddzzW+ddzzN+ddzzS)
ELSE
kppE = MIN(MAX(kbed(i,j),kbed(i+1,j))+k,k1)
kppW = MIN(MAX(kbed(i,j),kbed(i-1,j))+k,k1)
kppS = MIN(MAX(kbed(i,j),kbed(i,j+1))+k,k1)
kppN = MIN(MAX(kbed(i,j),kbed(i,j-1))+k,k1)
distance_to_bed=(REAL(k)-0.5)*dz
ENDIF
uu=0.5*(ucfd(i,j,kppE)+ucfd(i-1,j,kppW))-Ubot_TSHD(j)
vv=0.5*(vcfd(i,j,kppN)+vcfd(i,j-1,kppS))-Vbot_TSHD(j)
absU_rks(tel)=sqrt(uu**2+vv**2)
tel=tel+1
ENDDO
k_ust_tau_temp = MAXLOC(absU_rks,DIM=1)
ELSE
k_ust_tau_temp = k_ust_tau
ENDIF
IF (wallmodel_tau_sed.eq.3.or.wallmodel_tau_sed.eq.4.or.wallmodel_tau_sed.eq.8.or.wallmodel_tau_sed.eq.9) THEN
Fix = (ppp(i+1,j,MIN(k1,kbed(i+1,j)+k_ust_tau_temp))-ppp(i-1,j,MIN(k1,kbed(i-1,j)+k_ust_tau_temp)))
& /sqrt((Rp(i+1)-Rp(i-1))**2+(zbed(i+1,j)-zbed(i-1,j))**2)/rcfd(i,j,MIN(k1,kbed(i,j)+k_ust_tau_temp))
Fiy = (ppp(i,j+1,MIN(k1,kbed(i,j+1)+k_ust_tau_temp))-ppp(i,j-1,MIN(k1,kbed(i,j-1)+k_ust_tau_temp)))
& /sqrt((Rp(i)*(phip(j+1)-phip(j-1)))**2+(zbed(i,j+1)-zbed(i,j-1))**2)/rcfd(i,j,MIN(k1,kbed(i,j)+k_ust_tau_temp))
TBLEsl_dpdx(i,j)=TBLEsl_grad_relax*Fix+(1.-TBLEsl_grad_relax)*TBLEsl_dpdx(i,j)
TBLEsl_dpdy(i,j)=TBLEsl_grad_relax*Fiy+(1.-TBLEsl_grad_relax)*TBLEsl_dpdy(i,j)
ENDIF
!! First Ubot_TSHD and Vbot_TSHD is subtracted to determine tau
!! only over ambient velocities not over U_TSHD
IF (IBMorder.eq.2) THEN
kppE=MIN(CEILING(0.5*(zbed(i,j)+zbed(i+1,j))/dz+k_ust_tau_temp),k1) !between 0.5-1.5dz from bed
kppW=MIN(CEILING(0.5*(zbed(i,j)+zbed(i-1,j))/dz+k_ust_tau_temp),k1)
kppN=MIN(CEILING(0.5*(zbed(i,j)+zbed(i,j+1))/dz+k_ust_tau_temp),k1)
kppS=MIN(CEILING(0.5*(zbed(i,j)+zbed(i,j-1))/dz+k_ust_tau_temp),k1)
ddzzE=(REAL(kppE)-0.5)*dz-0.5*(zbed(i,j)+zbed(i+1,j))
ddzzW=(REAL(kppW)-0.5)*dz-0.5*(zbed(i,j)+zbed(i-1,j))
ddzzN=(REAL(kppN)-0.5)*dz-0.5*(zbed(i,j)+zbed(i,j+1))
ddzzS=(REAL(kppS)-0.5)*dz-0.5*(zbed(i,j)+zbed(i,j-1))
!distance_to_bed=MAX(0.5*dz,0.25*(ddzzE+ddzzW+ddzzN+ddzzS))
distance_to_bed=0.25*(ddzzE+ddzzW+ddzzN+ddzzS)
! zb_W=zbed(i,j)
! kpp=MIN(CEILING(zb_W/dz+0.5)-1+k_ust_tau_temp,k1) !for k_ust_tau_temp=2 kpp is between 1*dz-2*dz distance from bed
! !kpp=MIN(CEILING(zb_W/dz+0.5),k1) !kpp is between 0-dz distance from bed
! distance_to_bed=(REAL(kpp)-0.5)*dz-zb_W
! !as start use first cell (0.5-1)*dz distance from bed
! IF (distance_to_bed<0.5*dz) THEN !first cell too close to bed, therefore use second cell (1-1.5)*dz distance from bed
! kpp=MIN(kpp+1,k1) !kpp is in principle between 1*dz-2*dz distance from bed, but due to this if-statement only 1-1.5 from bed
! distance_to_bed=(REAL(kpp)-0.5)*dz-zb_W
! ENDIF
ELSE
kppE = MIN(MAX(kbed(i,j),kbed(i+1,j))+k_ust_tau_temp,k1)
kppW = MIN(MAX(kbed(i,j),kbed(i-1,j))+k_ust_tau_temp,k1)
kppS = MIN(MAX(kbed(i,j),kbed(i,j+1))+k_ust_tau_temp,k1)
kppN = MIN(MAX(kbed(i,j),kbed(i,j-1))+k_ust_tau_temp,k1)
distance_to_bed=(REAL(k_ust_tau_temp)-0.5)*dz
!
! kpp = MIN(kbedp(i,j),k1) !for k_ust_tau=2 kpp is 1.5*dz from 0-order ibm bed
! distance_to_bed=(REAL(k_ust_tau)-0.5)*dz
ENDIF
uu=0.5*(ucfd(i,j,kppE)+ucfd(i-1,j,kppW))-Ubot_TSHD(j)
vv=0.5*(vcfd(i,j,kppN)+vcfd(i,j-1,kppS))-Vbot_TSHD(j)
IF (pickup_bedslope_geo.eq.1) THEN
bed_slope = atan((zbed(i+1,j)-zbed(i-1,j))/(Rp(i+1)-Rp(i-1)))
& *MIN(bednotfixed(i+1,j,kbed(i+1,j)),bednotfixed(i-1,j,kbed(i-1,j)))
uu2 = uu*cos(bed_slope)+wcfd(i,j,kbedp(i,j))*sin(bed_slope)
facx = 1./cos(bed_slope)
bed_slope = atan((zbed(i,j+1)-zbed(i,j-1))/(Rp(i)*(phip(j+1)-phip(j-1))))
& *MIN(bednotfixed(i,j+1,kbed(i,j+1)),bednotfixed(i,j-1,kbed(i,j-1)))
vv2 = vv*cos(bed_slope)+wcfd(i,j,kbedp(i,j))*sin(bed_slope)
facy = 1./cos(bed_slope)
bs_geo = facx*facy ! increase in dx and dy (area) over which pickup and deposition take place
absU = sqrt((uu2)**2+(vv2)**2)
absU_sed_relax(i,j) = sl_relax*absU+(1.-sl_relax)*absU_sed_relax(i,j)
absU = absU_sed_relax(i,j)
ELSE
absU=sqrt((uu)**2+(vv)**2)
absU_sed_relax(i,j) = sl_relax*absU+(1.-sl_relax)*absU_sed_relax(i,j)
absU = absU_sed_relax(i,j)
bs_geo = 1.
ENDIF
IF (ABS(z_tau_sed-0.5*dz)>1.e-6) THEN !only if z_tau_sed is user defined (so not 0.5*dz) then do correction below:
ust=0.1*absU
do tel=1,10 ! 10 iter is more than enough
z0=MAX(kn_flow(i,j)/30.+0.11*nu_sediment_pickup/MAX(ust,1.e-9),1e-9)
ust=absU/MAX(1./kappa*log(MAX(distance_to_bed/z0,1.001)),2.) !ust maximal 0.5*absU
enddo
distance_to_bed=z_tau_sed
absU=ust/kappa*log(distance_to_bed/z0) ! replace absU with velocity that is valid at z_tau_sed from bed (user input to make result less dependent of grid resolution)
ENDIF
DO n=1,nfrac
IF (wallmodel_tau_sed.eq.3) THEN
CALL wall_fun_TBL_Ploc(uu/MAX(1.e-6,sqrt(uu**2+vv**2))*absU,vv/MAX(1.e-6,sqrt(uu**2+vv**2))*absU,TBLEsl_dpdx(i,j),
& TBLEsl_dpdy(i,j),rho_b,2.*distance_to_bed,frac(n)%kn_sed,kappa,nu_sediment_pickup,ust_frac_old(n,i,j),ust,nWM)
ELSEIF (wallmodel_tau_sed.eq.4) THEN
CALL wall_fun_TBL2_Ploc(uu/MAX(1.e-6,sqrt(uu**2+vv**2))*absU,vv/MAX(1.e-6,sqrt(uu**2+vv**2))*absU,TBLEsl_dpdx(i,j),
& TBLEsl_dpdy(i,j),rho_b,2.*distance_to_bed,frac(n)%kn_sed,kappa,nu_sediment_pickup,ust_frac_old(n,i,j),ust,nWM)
ELSEIF (wallmodel_tau_sed.eq.5) THEN
CALL wall_fun_VD_Ploc(uu/MAX(1.e-6,sqrt(uu**2+vv**2))*absU,vv/MAX(1.e-6,sqrt(uu**2+vv**2))*absU,
& rho_b,2.*distance_to_bed,frac(n)%kn_sed,kappa,nu_sediment_pickup,ust_frac_old(n,i,j),ust,nWM)
ELSEIF (wallmodel_tau_sed.eq.8) THEN
CALL wall_fun_GWF_Ploc(uu/MAX(1.e-6,sqrt(uu**2+vv**2))*absU,vv/MAX(1.e-6,sqrt(uu**2+vv**2))*absU,TBLEsl_dpdx(i,j),
& TBLEsl_dpdy(i,j),rho_b,2.*distance_to_bed,frac(n)%kn_sed,kappa,nu_sediment_pickup,ust)
ELSEIF (wallmodel_tau_sed.eq.9) THEN
CALL wall_fun_GWF_dpdlfavo_Ploc(uu/MAX(1.e-6,sqrt(uu**2+vv**2))*absU,vv/MAX(1.e-6,sqrt(uu**2+vv**2))*absU,TBLEsl_dpdx(i,j),
& TBLEsl_dpdy(i,j),rho_b,2.*distance_to_bed,frac(n)%kn_sed,kappa,nu_sediment_pickup,ust)
ELSE
ust=0.1*absU
do tel=1,10 ! 10 iter is more than enough
z0=frac(n)%kn_sed/30.+0.11*nu_sediment_pickup/MAX(ust,1.e-9)
! for tau shear on sediment don't use kn (which is result of bed ripples), use frac(n)%kn_sed; it is adviced to use kn_sed=dfloc
ust=absU/MAX(1./kappa*log(distance_to_bed/z0),2.) !ust maximal 0.5*absU
enddo
ENDIF
kplus = MIN(kbed(i,j)+1,k1)
kplus2 = MIN(kbed(i,j)+2,k1)
tau=rho_b*ust*ust
ust_frac_new(n,i,j)=ust
! called before update in correc (in last k3 step of RK3) so Cnewbot and Cnew are used to determine interaction with bed,
! but effect is added to dcdtbot and dcdt to make superposition on other terms already included in dcdt
! dcdtbot contains sediment volume concentration in bed [-] with ghost bed-cells of dz deep
! dcdt contains sediment volume concentration in water-cells [-]
IF (interaction_bed.ge.2) THEN
erosion = frac(n)%M*MAX(0.,(tau/frac(n)%tau_e-1.))*ddt/frac(n)%rho*bs_geo ! m3/m2
ENDIF
! erosion = erosion -MIN(0.,ddt*0.5*(Diffcof(i,j,kplus)+Diffcof(i,j,kplus2))*(ccnew(n,i,j,kplus2)-ccnew(n,i,j,kplus))/dz) !add upward diffusion to erosion flux
IF (interaction_bed.eq.3) THEN
erosion = MIN(erosion,cbotnew(n,i,j)*dz) ! m3/m2, not more material can be eroded than there was in the bed
ENDIF
IF (depo_implicit.eq.1) THEN !determine deposition as sink implicit
kplus = MIN(kbed(i,j)+1,k1)
ccnew(n,i,j,kplus)=(ccnew(n,i,j,kplus)+erosion/dz)/
& (1.-MAX(0.,(1.-tau/frac(n)%tau_d))*MIN(0.,Wsed(n,i,j,kbed(i,j)))*ddt/dz) ! vol conc. [-]
deposition = MAX(0.,(1.-tau/frac(n)%tau_d))*ccnew(n,i,j,kplus)*MIN(0.,Wsed(n,i,j,kbed(i,j)))*ddt ! m !ccfd
cbotnew(n,i,j)=cbotnew(n,i,j)-(erosion+deposition)/(dz) ! vol conc. [-]
ELSE
kplus = MIN(kbed(i,j)+1,k1)
deposition = MAX(0.,(1.-tau/frac(n)%tau_d))*ccnew(n,i,j,kplus)*MIN(0.,Wsed(n,i,j,kbed(i,j)))*ddt ! m !ccfd
ccnew(n,i,j,kplus)=ccnew(n,i,j,kplus)+(erosion+deposition)/(dz) ! vol conc. [-]
cbotnew(n,i,j)=cbotnew(n,i,j)-(erosion+deposition)/(dz) ! vol conc. [-]
ENDIF
ENDDO
ENDDO
ENDDO
ELSEIF((interaction_bed.ge.4).and.time_n.ge.tstart_morf) THEN ! including bedupdate; erosion based on avg sediment properties top layer
IF (pickup_fluctuations.eq.1) THEN
!1 add white noise to pickup
CALL SYSTEM_CLOCK(COUNT=clock)
CALL RANDOM_SEED(size = nnn)
ALLOCATE(seed(nnn))
CALL SYSTEM_CLOCK(COUNT=clock)
seed = clock + 37 * (/ (i - 1, i = 1, nnn) /)
CALL RANDOM_SEED(PUT = seed)
call random_number(pickup_random) ! uniform distribution 0,1
pickup_random=1.+2.*(pickup_random-0.5)*pickup_fluctuations_ampl
ENDIF
IF (cbed_method.eq.2) THEN
Uhor(1:imax,1:jmax,1:kmax)=sqrt((0.5*(ucfd(0:imax-1,1:jmax,1:kmax)+ucfd(1:imax,1:jmax,1:kmax)))**2 +
& (0.5*(vcfd(1:imax,0:jmax-1,1:kmax)+vcfd(1:imax,1:jmax,1:kmax)))**2)
ENDIF
! IF ((periodicx.eq.0.and.monopile<0).and.(interaction_bed.eq.4.or.interaction_bed.eq.6)) THEN
! ibeg=2
! iend=imax-1
! ELSEIF ((periodicx.eq.0.and.monopile>0).and.(interaction_bed.eq.4.or.interaction_bed.eq.6)) THEN
! ibeg=1
! iend=imax-1
! ELSE
ibeg=1
iend=imax
! ENDIF
DO i=ibeg,iend
DO j=1,jmax
erosionf=0.
depositionf=0.
cbotnewtot=0.
cbotnewtot_pos=0.
ctot_firstcel=0.
IF (k_ust_tau_sed_range(1)>0) THEN
absU_rks = 0.
tel=k_ust_tau_sed_range(1)
DO k=k_ust_tau_sed_range(1),k_ust_tau_sed_range(2)
IF (IBMorder.eq.2) THEN
kppE=MIN(CEILING(0.5*(zbed(i,j)+zbed(i+1,j))/dz+k),k1) !between 0.5-1.5dz from bed for k=1
kppW=MIN(CEILING(0.5*(zbed(i,j)+zbed(i-1,j))/dz+k),k1)
kppN=MIN(CEILING(0.5*(zbed(i,j)+zbed(i,j+1))/dz+k),k1)
kppS=MIN(CEILING(0.5*(zbed(i,j)+zbed(i,j-1))/dz+k),k1)
ddzzE=(REAL(kppE)-0.5)*dz-0.5*(zbed(i,j)+zbed(i+1,j))
ddzzW=(REAL(kppW)-0.5)*dz-0.5*(zbed(i,j)+zbed(i-1,j))
ddzzN=(REAL(kppN)-0.5)*dz-0.5*(zbed(i,j)+zbed(i,j+1))
ddzzS=(REAL(kppS)-0.5)*dz-0.5*(zbed(i,j)+zbed(i,j-1))
!distance_to_bed=MAX(0.5*dz,0.25*(ddzzE+ddzzW+ddzzN+ddzzS))
distance_to_bed=0.25*(ddzzE+ddzzW+ddzzN+ddzzS)
ELSE
kppE = MIN(MAX(kbed(i,j),kbed(i+1,j))+k,k1)
kppW = MIN(MAX(kbed(i,j),kbed(i-1,j))+k,k1)
kppS = MIN(MAX(kbed(i,j),kbed(i,j+1))+k,k1)
kppN = MIN(MAX(kbed(i,j),kbed(i,j-1))+k,k1)
distance_to_bed=(REAL(k)-0.5)*dz
ENDIF
uu=0.5*(ucfd(i,j,kppE)+ucfd(i-1,j,kppW))-Ubot_TSHD(j)
vv=0.5*(vcfd(i,j,kppN)+vcfd(i,j-1,kppS))-Vbot_TSHD(j)
absU_rks(tel)=sqrt(uu**2+vv**2)
tel=tel+1
ENDDO
k_ust_tau_temp = MAXLOC(absU_rks,DIM=1)
ELSE
k_ust_tau_temp = k_ust_tau
ENDIF
IF (wallmodel_tau_sed.eq.3.or.wallmodel_tau_sed.eq.4.or.wallmodel_tau_sed.eq.8.or.wallmodel_tau_sed.eq.9) THEN
Fix = (ppp(i+1,j,MIN(k1,kbed(i+1,j)+k_ust_tau_temp))-ppp(i-1,j,MIN(k1,kbed(i-1,j)+k_ust_tau_temp)))
& /sqrt((Rp(i+1)-Rp(i-1))**2+(zbed(i+1,j)-zbed(i-1,j))**2)/rcfd(i,j,MIN(k1,kbed(i,j)+k_ust_tau_temp))
Fiy = (ppp(i,j+1,MIN(k1,kbed(i,j+1)+k_ust_tau_temp))-ppp(i,j-1,MIN(k1,kbed(i,j-1)+k_ust_tau_temp)))
& /sqrt((Rp(i)*(phip(j+1)-phip(j-1)))**2+(zbed(i,j+1)-zbed(i,j-1))**2)/rcfd(i,j,MIN(k1,kbed(i,j)+k_ust_tau_temp))
TBLEsl_dpdx(i,j)=TBLEsl_grad_relax*Fix+(1.-TBLEsl_grad_relax)*TBLEsl_dpdx(i,j)
TBLEsl_dpdy(i,j)=TBLEsl_grad_relax*Fiy+(1.-TBLEsl_grad_relax)*TBLEsl_dpdy(i,j)
TBLEbl_dpdx(i,j)=TBLEbl_grad_relax*Fix+(1.-TBLEbl_grad_relax)*TBLEbl_dpdx(i,j)
TBLEbl_dpdy(i,j)=TBLEbl_grad_relax*Fiy+(1.-TBLEbl_grad_relax)*TBLEbl_dpdy(i,j)
ENDIF
!! First Ubot_TSHD and Vbot_TSHD is subtracted to determine tau
!! only over ambient velocities not over U_TSHD
IF (IBMorder.eq.2) THEN
kppE=MIN(CEILING(0.5*(zbed(i,j)+zbed(i+1,j))/dz+k_ust_tau_temp),k1) !between 0.5-1.5dz from bed
kppW=MIN(CEILING(0.5*(zbed(i,j)+zbed(i-1,j))/dz+k_ust_tau_temp),k1)
kppN=MIN(CEILING(0.5*(zbed(i,j)+zbed(i,j+1))/dz+k_ust_tau_temp),k1)
kppS=MIN(CEILING(0.5*(zbed(i,j)+zbed(i,j-1))/dz+k_ust_tau_temp),k1)
ddzzE=(REAL(kppE)-0.5)*dz-0.5*(zbed(i,j)+zbed(i+1,j))
ddzzW=(REAL(kppW)-0.5)*dz-0.5*(zbed(i,j)+zbed(i-1,j))
ddzzN=(REAL(kppN)-0.5)*dz-0.5*(zbed(i,j)+zbed(i,j+1))
ddzzS=(REAL(kppS)-0.5)*dz-0.5*(zbed(i,j)+zbed(i,j-1))
!distance_to_bed=MAX(0.5*dz,0.25*(ddzzE+ddzzW+ddzzN+ddzzS))
distance_to_bed=0.25*(ddzzE+ddzzW+ddzzN+ddzzS)
! zb_W=zbed(i,j)
! kpp=MIN(CEILING(zb_W/dz+0.5)-1+k_ust_tau_temp,k1) !for k_ust_tau_temp=2 kpp is between 1*dz-2*dz distance from bed
! !kpp=MIN(CEILING(zb_W/dz+0.5),k1) !kpp is between 0-dz distance from bed
! distance_to_bed=(REAL(kpp)-0.5)*dz-zb_W
! !as start use first cell (0.5-1)*dz distance from bed
! IF (distance_to_bed<0.5*dz) THEN !first cell too close to bed, therefore use second cell (1-1.5)*dz distance from bed
! kpp=MIN(kpp+1,k1) !kpp is in principle between 1*dz-2*dz distance from bed, but due to this if-statement only 1-1.5 from bed
! distance_to_bed=(REAL(kpp)-0.5)*dz-zb_W
! ENDIF
ELSE
kppE = MIN(MAX(kbed(i,j),kbed(i+1,j))+k_ust_tau_temp,k1)
kppW = MIN(MAX(kbed(i,j),kbed(i-1,j))+k_ust_tau_temp,k1)
kppS = MIN(MAX(kbed(i,j),kbed(i,j+1))+k_ust_tau_temp,k1)
kppN = MIN(MAX(kbed(i,j),kbed(i,j-1))+k_ust_tau_temp,k1)
distance_to_bed=(REAL(k_ust_tau_temp)-0.5)*dz
!
! kpp = MIN(kbedp(i,j),k1) !for k_ust_tau=2 kpp is 1.5*dz from 0-order ibm bed
! distance_to_bed=(REAL(k_ust_tau)-0.5)*dz
ENDIF
! IF (kbedp(i,j)<kbedp(i+1,j).and.kbedp(i,j)<kbedp(i-1,j)) THEN ! pit
! uu=0.5*(ucfd(i,j,kpp)+ucfd(i-1,j,kpp))-Ubot_TSHD(j)
! ELSE
! uu=0.5*(ucfd(i,j,MAX(kbedp(i,j),kbedp(i+1,j),kpp))+ucfd(i-1,j,MAX(kbedp(i,j),kbedp(i-1,j),kpp)))-Ubot_TSHD(j) !choice to not alter distance_to_bed at slopes
! ENDIF
! IF (kbedp(i,j)<kbedp(i,j+1).and.kbedp(i,j)<kbedp(i,j-1)) THEN ! pit
! vv=0.5*(vcfd(i,j,kpp)+vcfd(i,j-1,kpp))-Vbot_TSHD(j)
! ELSE
! vv=0.5*(vcfd(i,j,MAX(kbedp(i,j),kbedp(i,j+1),kpp))+vcfd(i,j-1,MAX(kbedp(i,j),kbedp(i,j-1),kpp)))-Vbot_TSHD(j) !choice to not alter distance_to_bed at slopes
! ENDIF
uu=0.5*(ucfd(i,j,kppE)+ucfd(i-1,j,kppW))-Ubot_TSHD(j)
vv=0.5*(vcfd(i,j,kppN)+vcfd(i,j-1,kppS))-Vbot_TSHD(j)
IF (pickup_bedslope_geo.eq.1) THEN
! !bedload near bed velocity:
! uuRrel = ucfd(i ,j,MAX(kbedp(i,j),kbedp(i+1,j),kpp))-Ubot_TSHD(j)
! bed_slope = atan((zbed(i+1,j)-zbed(i,j))/(Rp(i+1)-Rp(i)))
! uuRrel = uuRrel*cos(bed_slope)+0.5*(wcfd(i,j,kbedp(i,j))+wcfd(i+1,j,kbedp(i+1,j)))*sin(bed_slope)
! !no correction for pit because uuR from cell i always needs to be same as uuL from i+1 in bedload otherwise interuption and pit may never fill up
! uuLrel = ucfd(i-1,j,MAX(kbedp(i,j),kbedp(i-1,j),kpp))-Ubot_TSHD(j)
! bed_slope = atan((zbed(i,j)-zbed(i-1,j))/(Rp(i)-Rp(i-1)))
! uuLrel = uuLrel*cos(bed_slope)+0.5*(wcfd(i,j,kbedp(i,j))+wcfd(i-1,j,kbedp(i-1,j)))*sin(bed_slope)
! vvRrel = vcfd(i,j ,MAX(kbedp(i,j),kbedp(i,j+1),kpp))-Vbot_TSHD(j)
! bed_slope = atan((zbed(i,j+1)-zbed(i,j))/(Rp(i)*(phip(j+1)-phip(j))))
! vvRrel = vvRrel*cos(bed_slope)+0.5*(wcfd(i,j,kbedp(i,j))+wcfd(i,j+1,kbedp(i,j+1)))*sin(bed_slope)
! vvLrel = vcfd(i,j-1,MAX(kbedp(i,j),kbedp(i,j-1),kpp))-Vbot_TSHD(j)
! bed_slope = atan((zbed(i,j)-zbed(i,j-1))/(Rp(i)*(phip(j)-phip(j-1))))
! vvLrel = vvLrel*cos(bed_slope)+0.5*(wcfd(i,j,kbedp(i,j))+wcfd(i,j-1,kbedp(i,j-1)))*sin(bed_slope)
! uuR_relax(i,j) = bl_relax*uuRrel+(1.-bl_relax)*uuR_relax(i,j) !needed for bedload-fluxes
! uuL_relax(i,j) = bl_relax*uuLrel+(1.-bl_relax)*uuL_relax(i,j)
! vvR_relax(i,j) = bl_relax*vvRrel+(1.-bl_relax)*vvR_relax(i,j)
! vvL_relax(i,j) = bl_relax*vvLrel+(1.-bl_relax)*vvL_relax(i,j)
! absUbl = MAX(sqrt((0.5*(uuR_relax(i,j)+uuL_relax(i,j)))**2+(0.5*(vvR_relax(i,j)+vvL_relax(i,j)))**2),1.e-6)
! uuRrel = uuR_relax(i,j)/absUbl
! uuLrel = uuL_relax(i,j)/absUbl
! vvRrel = vvR_relax(i,j)/absUbl
! vvLrel = vvL_relax(i,j)/absUbl
! !suspension load near bed velocity:
! bed_slope = atan((zbed(i+1,j)-zbed(i-1,j))/(Rp(i+1)-Rp(i-1)))
! uu2 = uu*cos(bed_slope)+wcfd(i,j,kpp)*sin(bed_slope)
! facx = 1./cos(bed_slope)
! bed_slope = atan((zbed(i,j+1)-zbed(i,j-1))/(Rp(i)*(phip(j+1)-phip(j-1))))
! vv2 = vv*cos(bed_slope)+wcfd(i,j,kpp)*sin(bed_slope)
! facy = 1./cos(bed_slope)
! bs_geo = facx*facy ! increase in dx and dy (area) over which pickup and deposition take place
! absU = sqrt((uu2)**2+(vv2)**2)
!bedload near bed velocity:
uuRrel = ucfd(i ,j,kppE)-Ubot_TSHD(j)
bed_slope = atan((zbed(i+1,j)-zbed(i,j))/(Rp(i+1)-Rp(i)))
& *MIN(bednotfixed(i+1,j,kbed(i+1,j)),bednotfixed(i,j,kbed(i,j)))
uuRrel = uuRrel*cos(bed_slope)+0.5*(wcfd(i,j,kbedp(i,j))+wcfd(i+1,j,kbedp(i+1,j)))*sin(bed_slope)
!no correction for pit because uuR from cell i always needs to be same as uuL from i+1 in bedload otherwise interuption and pit may never fill up
uuLrel = ucfd(i-1,j,kppW)-Ubot_TSHD(j)
bed_slope = atan((zbed(i,j)-zbed(i-1,j))/(Rp(i)-Rp(i-1)))
& *MIN(bednotfixed(i,j,kbed(i,j)),bednotfixed(i-1,j,kbed(i-1,j)))
uuLrel = uuLrel*cos(bed_slope)+0.5*(wcfd(i,j,kbedp(i,j))+wcfd(i-1,j,kbedp(i-1,j)))*sin(bed_slope)
vvRrel = vcfd(i,j ,kppN)-Vbot_TSHD(j)
bed_slope = atan((zbed(i,j+1)-zbed(i,j))/(Rp(i)*(phip(j+1)-phip(j))))
& *MIN(bednotfixed(i,j+1,kbed(i,j+1)),bednotfixed(i,j,kbed(i,j)))
vvRrel = vvRrel*cos(bed_slope)+0.5*(wcfd(i,j,kbedp(i,j))+wcfd(i,j+1,kbedp(i,j+1)))*sin(bed_slope)
vvLrel = vcfd(i,j-1,kppS)-Vbot_TSHD(j)
bed_slope = atan((zbed(i,j)-zbed(i,j-1))/(Rp(i)*(phip(j)-phip(j-1))))
& *MIN(bednotfixed(i,j,kbed(i,j)),bednotfixed(i,j-1,kbed(i,j-1)))
vvLrel = vvLrel*cos(bed_slope)+0.5*(wcfd(i,j,kbedp(i,j))+wcfd(i,j-1,kbedp(i,j-1)))*sin(bed_slope)
uuR_relax(i,j) = bl_relax*uuRrel+(1.-bl_relax)*uuR_relax(i,j) !needed for bedload-fluxes
uuL_relax(i,j) = bl_relax*uuLrel+(1.-bl_relax)*uuL_relax(i,j)
vvR_relax(i,j) = bl_relax*vvRrel+(1.-bl_relax)*vvR_relax(i,j)
vvL_relax(i,j) = bl_relax*vvLrel+(1.-bl_relax)*vvL_relax(i,j)
absUbl = MAX(sqrt((0.5*(uuR_relax(i,j)+uuL_relax(i,j)))**2+(0.5*(vvR_relax(i,j)+vvL_relax(i,j)))**2),1.e-6)
uuRrel = uuR_relax(i,j)/absUbl
uuLrel = uuL_relax(i,j)/absUbl
vvRrel = vvR_relax(i,j)/absUbl
vvLrel = vvL_relax(i,j)/absUbl
!suspension load near bed velocity:
bed_slope = atan((zbed(i+1,j)-zbed(i-1,j))/(Rp(i+1)-Rp(i-1)))
& *MIN(bednotfixed(i+1,j,kbed(i+1,j)),bednotfixed(i-1,j,kbed(i-1,j)))
uu2 = uu*cos(bed_slope)+wcfd(i,j,kbedp(i,j))*sin(bed_slope)
facx = 1./cos(bed_slope)
bed_slope = atan((zbed(i,j+1)-zbed(i,j-1))/(Rp(i)*(phip(j+1)-phip(j-1))))
& *MIN(bednotfixed(i,j+1,kbed(i,j+1)),bednotfixed(i,j-1,kbed(i,j-1)))
vv2 = vv*cos(bed_slope)+wcfd(i,j,kbedp(i,j))*sin(bed_slope)
facy = 1./cos(bed_slope)
bs_geo = facx*facy ! increase in dx and dy (area) over which pickup and deposition take place
absU = sqrt((uu2)**2+(vv2)**2)
absU_sed_relax(i,j) = sl_relax*absU+(1.-sl_relax)*absU_sed_relax(i,j)
absU = absU_sed_relax(i,j)
ELSE
!bedload near bed velocity:
! uuRrel = ucfd(i ,j,MAX(kbedp(i,j),kbedp(i+1,j),kpp))-Ubot_TSHD(j) !no correction for pit because uuR from cell i always needs to be same as uuL from i+1 in bedload otherwise interuption and pit may never fill up
! uuLrel = ucfd(i-1,j,MAX(kbedp(i,j),kbedp(i-1,j),kpp))-Ubot_TSHD(j)
! vvRrel = vcfd(i,j ,MAX(kbedp(i,j),kbedp(i,j+1),kpp))-Vbot_TSHD(j)
! vvLrel = vcfd(i,j-1,MAX(kbedp(i,j),kbedp(i,j-1),kpp))-Vbot_TSHD(j)
uuRrel = ucfd(i ,j,kppE)-Ubot_TSHD(j) !no correction for pit because uuR from cell i always needs to be same as uuL from i+1 in bedload otherwise interuption and pit may never fill up
uuLrel = ucfd(i-1,j,kppW)-Ubot_TSHD(j)
vvRrel = vcfd(i,j ,kppN)-Vbot_TSHD(j)
vvLrel = vcfd(i,j-1,kppS)-Vbot_TSHD(j)
uuR_relax(i,j) = bl_relax*uuRrel+(1.-bl_relax)*uuR_relax(i,j) !needed for bedload-fluxes
uuL_relax(i,j) = bl_relax*uuLrel+(1.-bl_relax)*uuL_relax(i,j)
vvR_relax(i,j) = bl_relax*vvRrel+(1.-bl_relax)*vvR_relax(i,j)
vvL_relax(i,j) = bl_relax*vvLrel+(1.-bl_relax)*vvL_relax(i,j)
absUbl = MAX(sqrt((0.5*(uuR_relax(i,j)+uuL_relax(i,j)))**2+(0.5*(vvR_relax(i,j)+vvL_relax(i,j)))**2),1.e-6)
uuRrel = uuR_relax(i,j)/absUbl
uuLrel = uuL_relax(i,j)/absUbl
vvRrel = vvR_relax(i,j)/absUbl
vvLrel = vvL_relax(i,j)/absUbl
!suspension load near bed velocity:
absU=sqrt((uu)**2+(vv)**2)
absU_sed_relax(i,j) = sl_relax*absU+(1.-sl_relax)*absU_sed_relax(i,j)
absU = absU_sed_relax(i,j)
bs_geo = 1.
ENDIF
IF (wallmodel_tau_sed.eq.11) THEN !for 11 use uu and vv not scaled back to z_tau_sed
IF (mod(istep,ndtbed).eq.0) THEN
sigtbed(telUVWbed)=dt
ww=wcfd(i,j,kbedp(i,j)) !need to adjust ww for pickup_bedslope_geo.eq.1 in a later stage when this approach proves to be usefull
sigUWbed(telUVWbed,i,j)=dt*uu*ww
sigVWbed(telUVWbed,i,j)=dt*vv*ww
sigUbed(telUVWbed,i,j)=dt*uu
sigVbed(telUVWbed,i,j)=dt*vv
sigWbed(telUVWbed,i,j)=dt*ww
ENDIF
ENDIF
IF (ABS(z_tau_sed-0.5*dz)>1.e-6) THEN !only if z_tau_sed is user defined (so not 0.5*dz) then do correction below:
ust=0.1*absU
do tel=1,10 ! 10 iter is more than enough
z0=MAX(kn_flow(i,j)/30.+0.11*nu_sediment_pickup/MAX(ust,1.e-9),1e-9)
ust=absU/MAX(1./kappa*log(MAX(distance_to_bed/z0,1.001)),2.) !ust maximal 0.5*absU
enddo
ustbl=0.1*absUbl
do tel=1,10 ! 10 iter is more than enough
z0=MAX(kn_flow(i,j)/30.+0.11*nu_sediment_pickup/MAX(ust,1.e-9),1e-9)
ustbl=absUbl/MAX(1./kappa*log(MAX(distance_to_bed/z0,1.001)),2.) !ust maximal 0.5*absU
enddo
distance_to_bed=z_tau_sed
absU=ust/kappa*log(distance_to_bed/z0) ! replace absU with velocity that is valid at z_tau_sed from bed (user input to make result less dependent of grid resolution)
absUbl=ustbl/kappa*log(distance_to_bed/z0) ! replace absUbl with velocity that is valid at z_tau_sed from bed (user input to make result less dependent of grid resolution)
ENDIF
cbottot=0.
cbedtot=0.
IF (nfr_silt>0) THEN
!! 1 determine erosion/sedimentation of mixture of all silt fractions
DO n1=1,nfr_silt
n=nfrac_silt(n1)
cbottot=cbottot+MAX(cbotnew(n,i,j),0.)
cbedtot=cbedtot+Clivebed(n,i,j,kbed(i,j))
ENDDO
kn_sed_avg=0.
Mr_avg=0.
tau_e_avg=0.
IF ((interaction_bed.ge.6.and.kbed(i,j).eq.0).or.interaction_bed.eq.7) THEN !unlimited erosion in case kbed.eq.0
DO n1=1,nfr_silt
n=nfrac_silt(n1)
kn_sed_avg=kn_sed_avg+(c_bed(n)/cfixedbed)*frac(n)%kn_sed
Mr_avg=Mr_avg+(c_bed(n)/cfixedbed)*frac(n)%M/frac(n)%rho
tau_e_avg=tau_e_avg+(c_bed(n)/cfixedbed)*frac(n)%tau_e
ENDDO
ELSEIF (cbottot>0.) THEN
DO n1=1,nfr_silt
n=nfrac_silt(n1)
kn_sed_avg=kn_sed_avg+(MAX(cbotnew(n,i,j),0.)/cbottot)*frac(n)%kn_sed
Mr_avg=Mr_avg+(MAX(cbotnew(n,i,j),0.)/cbottot)*frac(n)%M/frac(n)%rho
tau_e_avg=tau_e_avg+(MAX(cbotnew(n,i,j),0.)/cbottot)*frac(n)%tau_e
ENDDO
ELSEIF (cbedtot>0.) THEN ! determine avg sediment characteristics from bed:
DO n1=1,nfr_silt
n=nfrac_silt(n1)
kn_sed_avg=kn_sed_avg+(Clivebed(n,i,j,kbed(i,j))/cbedtot)*frac(n)%kn_sed
Mr_avg=Mr_avg+(Clivebed(n,i,j,kbed(i,j))/cbedtot)*frac(n)%M/frac(n)%rho
tau_e_avg=tau_e_avg+(Clivebed(n,i,j,kbed(i,j))/cbedtot)*frac(n)%tau_e
ENDDO
ELSE !arbitrarily choose silt frac 1, no effect as there is no erosion possible
kn_sed_avg=frac(nfrac_silt(1))%kn_sed
Mr_avg=frac(nfrac_silt(1))%M/frac(n)%rho
tau_e_avg=frac(nfrac_silt(1))%tau_e
ENDIF
IF (wallmodel_tau_sed.eq.3) THEN
CALL wall_fun_TBL_Ploc(uu/MAX(1.e-6,sqrt(uu**2+vv**2))*absU,vv/MAX(1.e-6,sqrt(uu**2+vv**2))*absU,TBLEsl_dpdx(i,j),
& TBLEsl_dpdy(i,j),rho_b,2.*distance_to_bed,kn_sed_avg,kappa,nu_sediment_pickup,ust_mud_old(i,j),ust,nWM)
ELSEIF (wallmodel_tau_sed.eq.4) THEN
CALL wall_fun_TBL2_Ploc(uu/MAX(1.e-6,sqrt(uu**2+vv**2))*absU,vv/MAX(1.e-6,sqrt(uu**2+vv**2))*absU,TBLEsl_dpdx(i,j),
& TBLEsl_dpdy(i,j),rho_b,2.*distance_to_bed,kn_sed_avg,kappa,nu_sediment_pickup,ust_mud_old(i,j),ust,nWM)
ELSEIF (wallmodel_tau_sed.eq.5) THEN