subroutine u3dbc_tile (Istr,Iend,Jstr,Jend,grad) implicit none integer*4 LLm,Lm,MMm,Mm,N, LLm0,MMm0 parameter (LLm0=159, MMm0=209, N=32) parameter (LLm=LLm0, MMm=MMm0) integer*4 Lmmpi,Mmmpi,iminmpi,imaxmpi,jminmpi,jmaxmpi common /comm_setup_mpi1/ Lmmpi,Mmmpi common /comm_setup_mpi2/ iminmpi,imaxmpi,jminmpi,jmaxmpi integer*4 NSUB_X, NSUB_E, NPP integer*4 NP_XI, NP_ETA, NNODES parameter (NP_XI=2, NP_ETA=2, NNODES=NP_XI*NP_ETA) parameter (NPP=1) parameter (NSUB_X=1, NSUB_E=1) integer*4 NWEIGHT parameter (NWEIGHT=1000) integer*4 stdout, Np, padd_X,padd_E common /stdout/stdout parameter (Np=N+1) parameter (Lm=(LLm+NP_XI-1)/NP_XI, Mm=(MMm+NP_ETA-1)/NP_ETA) parameter (padd_X=(Lm+2)/2-(Lm+1)/2) parameter (padd_E=(Mm+2)/2-(Mm+1)/2) integer*4 NSA, N2d,N3d, size_XI,size_ETA integer*4 se,sse, sz,ssz parameter (NSA=28) parameter (size_XI=7+(Lm+NSUB_X-1)/NSUB_X) parameter (size_ETA=7+(Mm+NSUB_E-1)/NSUB_E) parameter (sse=size_ETA/Np, ssz=Np/size_ETA) parameter (se=sse/(sse+ssz), sz=1-se) parameter (N2d=size_XI*(se*size_ETA+sz*Np)) parameter (N3d=size_XI*size_ETA*Np) real Vtransform parameter (Vtransform=2) integer*4 NT, NTA, itemp, NTot integer*4 ntrc_temp, ntrc_salt, ntrc_pas, ntrc_bio, ntrc_sed integer*4 ntrc_subs, ntrc_substot parameter (itemp=1) parameter (ntrc_temp=1) parameter (ntrc_salt=1) parameter (ntrc_pas=0) parameter (ntrc_bio=0) parameter (ntrc_subs=0, ntrc_substot=0) parameter (ntrc_sed=0) parameter (NTA=itemp+ntrc_salt) parameter (NT=itemp+ntrc_salt+ntrc_pas+ntrc_bio+ntrc_sed) parameter (NTot=NT) integer*4 ntrc_diats, ntrc_diauv, ntrc_diabio integer*4 ntrc_diavrt, ntrc_diaek, ntrc_diapv integer*4 ntrc_diaeddy, ntrc_surf & , isalt parameter (isalt=itemp+1) parameter (ntrc_diabio=0) parameter (ntrc_diats=0) parameter (ntrc_diauv=0) parameter (ntrc_diavrt=0) parameter (ntrc_diaek=0) parameter (ntrc_diapv=0) parameter (ntrc_diaeddy=0) parameter (ntrc_surf=0) real h(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real hinv(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real f(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real fomn(-1:Lm+2+padd_X,-1:Mm+2+padd_E) common /grid_h/h /grid_hinv/hinv /grid_f/f /grid_fomn/fomn real angler(-1:Lm+2+padd_X,-1:Mm+2+padd_E) common /grid_angler/angler real latr(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real lonr(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real latu(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real lonu(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real latv(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real lonv(-1:Lm+2+padd_X,-1:Mm+2+padd_E) common /grid_latr/latr /grid_lonr/lonr common /grid_latu/latu /grid_lonu/lonu common /grid_latv/latv /grid_lonv/lonv real pm(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real pn(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real om_r(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real on_r(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real om_u(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real on_u(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real om_v(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real on_v(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real om_p(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real on_p(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real pn_u(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real pm_v(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real pm_u(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real pn_v(-1:Lm+2+padd_X,-1:Mm+2+padd_E) common /metrics_pm/pm /metrics_pn/pn common /metrics_omr/om_r /metrics_on_r/on_r common /metrics_omu/om_u /metrics_on_u/on_u common /metrics_omv/om_v /metrics_on_v/on_v common /metrics_omp/om_p /metrics_on_p/on_p common /metrics_pnu/pn_u /metrics_pmv/pm_v common /metrics_pmu/pm_u /metrics_pnv/pn_v real dmde(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real dndx(-1:Lm+2+padd_X,-1:Mm+2+padd_E) common /metrics_dmde/dmde /metrics_dndx/dndx real pmon_p(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real pmon_r(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real pmon_u(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real pnom_p(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real pnom_r(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real pnom_v(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real grdscl(-1:Lm+2+padd_X,-1:Mm+2+padd_E) common /metrics_pmon_p/pmon_p /metrics_pnom_p/pnom_p common /metrics_pmon_r/pmon_r /metrics_pnom_r/pnom_r common /metrics_pmon_u/pmon_u /metrics_pnom_v/pnom_v common /metrics_grdscl/grdscl real rmask(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real pmask(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real umask(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real vmask(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real pmask2(-1:Lm+2+padd_X,-1:Mm+2+padd_E) common /mask_r/rmask common /mask_p/pmask common /mask_u/umask common /mask_v/vmask common /mask_p2/pmask2 real zob(-1:Lm+2+padd_X,-1:Mm+2+padd_E) common /Z0B_VAR/zob real u(-1:Lm+2+padd_X,-1:Mm+2+padd_E,N,3) real v(-1:Lm+2+padd_X,-1:Mm+2+padd_E,N,3) real t(-1:Lm+2+padd_X,-1:Mm+2+padd_E,N,3,NT) common /ocean_u/u /ocean_v/v /ocean_t/t real Hz(-1:Lm+2+padd_X,-1:Mm+2+padd_E,N) real Hz_bak(-1:Lm+2+padd_X,-1:Mm+2+padd_E,N) real z_r(-1:Lm+2+padd_X,-1:Mm+2+padd_E,N) real z_w(-1:Lm+2+padd_X,-1:Mm+2+padd_E,0:N) real Huon(-1:Lm+2+padd_X,-1:Mm+2+padd_E,N) real Hvom(-1:Lm+2+padd_X,-1:Mm+2+padd_E,N) common /grid_Hz_bak/Hz_bak /grid_zw/z_w /grid_Huon/Huon common /grid_Hvom/Hvom real We(-1:Lm+2+padd_X,-1:Mm+2+padd_E,0:N) common /grid_Hz/Hz /grid_zr/z_r /grid_We/We real rho1(-1:Lm+2+padd_X,-1:Mm+2+padd_E,N) real rho(-1:Lm+2+padd_X,-1:Mm+2+padd_E,N) common /ocean_rho1/rho1 /ocean_rho/rho real qp1(-1:Lm+2+padd_X,-1:Mm+2+padd_E,N) common /ocean_qp1/qp1 real qp2 parameter (qp2=0.0000172D0) real rhoA(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real rhoS(-1:Lm+2+padd_X,-1:Mm+2+padd_E) common /coup_rhoA/rhoA /coup_rhoS/rhoS real rufrc(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real rvfrc(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real rufrc_bak(-1:Lm+2+padd_X,-1:Mm+2+padd_E,2) real rvfrc_bak(-1:Lm+2+padd_X,-1:Mm+2+padd_E,2) common /coup_rufrc/rufrc common /coup_rvfrc/rvfrc common /coup_rufrc_bak/rufrc_bak common /coup_rvfrc_bak/rvfrc_bak real Zt_avg1(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real DU_avg1(-1:Lm+2+padd_X,-1:Mm+2+padd_E,5) real DV_avg1(-1:Lm+2+padd_X,-1:Mm+2+padd_E,5) real DU_avg2(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real DV_avg2(-1:Lm+2+padd_X,-1:Mm+2+padd_E) common /ocean_Zt_avg1/Zt_avg1 common /coup_DU_avg1/DU_avg1 common /coup_DV_avg1/DV_avg1 common /coup_DU_avg2/DU_avg2 common /coup_DV_avg2/DV_avg2 real dt, dtfast, time, time2, time_start, tdays, start_time integer*4 ndtfast, iic, kstp, krhs, knew, next_kstp & , iif, nstp, nrhs, nnew, nbstep3d logical PREDICTOR_2D_STEP common /time_indices/ dt,dtfast, time, time2,time_start, tdays, & ndtfast, iic, kstp, krhs, knew, next_kstp, & start_time, & iif, nstp, nrhs, nnew, nbstep3d, & PREDICTOR_2D_STEP real time_avg, time2_avg, rho0 & , rdrg, rdrg2, Cdb_min, Cdb_max, Zobt & , xl, el, visc2, visc4, gamma2 real theta_s, theta_b, Tcline, hc real sc_w(0:N), Cs_w(0:N), sc_r(N), Cs_r(N) real rx0, rx1 real tnu2(NT),tnu4(NT) real weight(6,0:NWEIGHT) real x_sponge, v_sponge real tauT_in, tauT_out, tauM_in, tauM_out integer*4 numthreads, ntstart, ntimes, ninfo & , nfast, nrrec, nrst, nwrt & , ntsavg, navg logical ldefhis logical got_tini(NT) common /scalars_main/ & time_avg, time2_avg, rho0, rdrg, rdrg2 & , Zobt, Cdb_min, Cdb_max & , xl, el, visc2, visc4, gamma2 & , theta_s, theta_b, Tcline, hc & , sc_w, Cs_w, sc_r, Cs_r & , rx0, rx1 & , tnu2, tnu4 & , weight & , x_sponge, v_sponge & , tauT_in, tauT_out, tauM_in, tauM_out & , numthreads, ntstart, ntimes, ninfo & , nfast, nrrec, nrst, nwrt & , ntsavg, navg & , got_tini & , ldefhis logical synchro_flag common /sync_flag/ synchro_flag integer*4 may_day_flag integer*4 tile_count, first_time, bc_count common /communicators_i/ & may_day_flag, tile_count, first_time, bc_count real hmin, hmax, grdmin, grdmax, Cu_min, Cu_max common /communicators_r/ & hmin, hmax, grdmin, grdmax, Cu_min, Cu_max real lonmin, lonmax, latmin, latmax common /communicators_lonlat/ & lonmin, lonmax, latmin, latmax real*8 Cu_Adv3d, Cu_W, Cu_Nbq_X, Cu_Nbq_Y, Cu_Nbq_Z integer*4 i_cx_max, j_cx_max, k_cx_max common /diag_vars/ Cu_Adv3d, Cu_W, & i_cx_max, j_cx_max, k_cx_max real*8 volume, avgke, avgpe, avgkp, bc_crss common /communicators_rq/ & volume, avgke, avgpe, avgkp, bc_crss real*4 CPU_time(0:31,0:NPP) integer*4 proc(0:31,0:NPP),trd_count common /timers_roms/CPU_time,proc,trd_count logical EAST_INTER2, WEST_INTER2, NORTH_INTER2, SOUTH_INTER2 logical EAST_INTER, WEST_INTER, NORTH_INTER, SOUTH_INTER logical CORNER_SW,CORNER_NW,CORNER_NE,CORNER_SE integer*4 mynode, mynode2, ii,jj, p_W,p_E,p_S,p_N, p_SW,p_SE, & p_NW,p_NE,NNODES2 common /comm_setup/ mynode, mynode2, ii,jj, p_W,p_E,p_S,p_N, & p_SW,p_SE, p_NW,p_NE, EAST_INTER, WEST_INTER, NORTH_INTER, & SOUTH_INTER, EAST_INTER2, WEST_INTER2, NORTH_INTER2, & SOUTH_INTER2, & CORNER_SW,CORNER_NW,CORNER_NE,CORNER_SE,NNODES2 real pi, deg2rad, rad2deg parameter (pi=3.14159265358979323846D0, deg2rad=pi/180.D0, & rad2deg=180.D0/pi) real Eradius, Erotation, g, day2sec,sec2day, jul_off, & year2day,day2year parameter (Eradius=6371315.0D0, Erotation=7.292115090D-5, & day2sec=86400.D0, sec2day=1.D0/86400.D0, & year2day=365.25D0, day2year=1.D0/365.25D0, & jul_off=2440000.D0) parameter (g=9.81D0) real Cp parameter (Cp=3985.0D0) real vonKar parameter (vonKar=0.41D0) real spval parameter (spval=-999.0D0) logical mask_val parameter (mask_val = .true.) logical got_tbry(NT) common /bry_logical/ got_tbry real bry_time(2) REAL(kind=8) :: bry_origin_date_in_sec common /bry_indices_array/ bry_time, & bry_origin_date_in_sec real bry_cycle common /bry_indices_real/ bry_cycle integer*4 bry_id, bry_time_id, bry_ncycle, bry_rec, itbry, ntbry common /bry_indices_integer/ bry_id, bry_time_id, bry_ncycle, & bry_rec, itbry, ntbry integer*4 zetabry_west_id common /zeta_west_id/ zetabry_west_id integer*4 ubarbry_west_id, vbarbry_west_id common /ubar_west_id/ ubarbry_west_id, vbarbry_west_id integer*4 ubry_west_id, vbry_west_id common /u_west_id/ ubry_west_id, vbry_west_id integer*4 tbry_west_id(NT) common /t_west_id/ tbry_west_id integer*4 zetabry_east_id common /zeta_east_id/ zetabry_east_id integer*4 ubarbry_east_id, vbarbry_east_id common /ubar_east_id/ ubarbry_east_id, vbarbry_east_id integer*4 ubry_east_id, vbry_east_id common /u_east_id/ ubry_east_id, vbry_east_id integer*4 tbry_east_id(NT) common /t_east_id/ tbry_east_id integer*4 zetabry_south_id common /zeta_south_id/ zetabry_south_id integer*4 ubarbry_south_id, vbarbry_south_id common /ubar_south_id/ ubarbry_south_id, vbarbry_south_id integer*4 ubry_south_id, vbry_south_id common /u_south_id/ ubry_south_id, vbry_south_id integer*4 tbry_south_id(NT) common /t_south_id/ tbry_south_id integer*4 zetabry_north_id common /zeta_north_id/ zetabry_north_id integer*4 ubarbry_north_id, vbarbry_north_id common /ubar_north_id/ ubarbry_north_id, vbarbry_north_id integer*4 ubry_north_id, vbry_north_id common /u_north_id/ ubry_north_id, vbry_north_id integer*4 tbry_north_id(NT) common /t_north_id/ tbry_north_id real zetabry_west(-1:Mm+2+padd_E), & zetabry_west_dt(-1:Mm+2+padd_E,2) common /bry_zeta_west/ zetabry_west, zetabry_west_dt real ubarbry_west(-1:Mm+2+padd_E), & ubarbry_west_dt(-1:Mm+2+padd_E,2) & ,vbarbry_west(-1:Mm+2+padd_E), & vbarbry_west_dt(-1:Mm+2+padd_E,2) common /bry_ubar_west/ ubarbry_west, ubarbry_west_dt, & vbarbry_west, vbarbry_west_dt real ubry_west(-1:Mm+2+padd_E,N), & ubry_west_dt(-1:Mm+2+padd_E,N,2) & ,vbry_west(-1:Mm+2+padd_E,N), & vbry_west_dt(-1:Mm+2+padd_E,N,2) common /bry_u_west/ ubry_west, ubry_west_dt, & vbry_west, vbry_west_dt real tbry_west(-1:Mm+2+padd_E,N,NT), & tbry_west_dt(-1:Mm+2+padd_E,N,2,NT) common /bry_t_west/ tbry_west, tbry_west_dt real zetabry_east(-1:Mm+2+padd_E), & zetabry_east_dt(-1:Mm+2+padd_E,2) common /bry_zeta_east/ zetabry_east, zetabry_east_dt real ubarbry_east(-1:Mm+2+padd_E), & ubarbry_east_dt(-1:Mm+2+padd_E,2) & ,vbarbry_east(-1:Mm+2+padd_E), & vbarbry_east_dt(-1:Mm+2+padd_E,2) common /bry_ubar_east/ ubarbry_east, ubarbry_east_dt, & vbarbry_east, vbarbry_east_dt real ubry_east(-1:Mm+2+padd_E,N), & ubry_east_dt(-1:Mm+2+padd_E,N,2) & ,vbry_east(-1:Mm+2+padd_E,N), & vbry_east_dt(-1:Mm+2+padd_E,N,2) common /bry_u_east/ ubry_east, ubry_east_dt, & vbry_east, vbry_east_dt real tbry_east(-1:Mm+2+padd_E,N,NT), & tbry_east_dt(-1:Mm+2+padd_E,N,2,NT) common /bry_t_east/ tbry_east, tbry_east_dt real zetabry_south(-1:Lm+2+padd_X), & zetabry_south_dt(-1:Lm+2+padd_X,2) common /bry_zeta_south/ zetabry_south, zetabry_south_dt real ubarbry_south(-1:Lm+2+padd_X), & ubarbry_south_dt(-1:Lm+2+padd_X,2) & ,vbarbry_south(-1:Lm+2+padd_X), & vbarbry_south_dt(-1:Lm+2+padd_X,2) common /bry_ubar_south/ ubarbry_south, ubarbry_south_dt, & vbarbry_south, vbarbry_south_dt real ubry_south(-1:Lm+2+padd_X,N), & ubry_south_dt(-1:Lm+2+padd_X,N,2) & ,vbry_south(-1:Lm+2+padd_X,N), & vbry_south_dt(-1:Lm+2+padd_X,N,2) common /bry_u_south/ ubry_south, ubry_south_dt, & vbry_south, vbry_south_dt real tbry_south(-1:Lm+2+padd_X,N,NT), & tbry_south_dt(-1:Lm+2+padd_X,N,2,NT) common /bry_t_south/ tbry_south, tbry_south_dt real zetabry_north(-1:Lm+2+padd_X), & zetabry_north_dt(-1:Lm+2+padd_X,2) common /bry_zeta_north/ zetabry_north, zetabry_north_dt real ubarbry_north(-1:Lm+2+padd_X), & ubarbry_north_dt(-1:Lm+2+padd_X,2) & ,vbarbry_north(-1:Lm+2+padd_X), & vbarbry_north_dt(-1:Lm+2+padd_X,2) common /bry_ubar_north/ ubarbry_north, ubarbry_north_dt, & vbarbry_north, vbarbry_north_dt real ubry_north(-1:Lm+2+padd_X,N), & ubry_north_dt(-1:Lm+2+padd_X,N,2) & ,vbry_north(-1:Lm+2+padd_X,N), & vbry_north_dt(-1:Lm+2+padd_X,N,2) common /bry_u_north/ ubry_north, ubry_north_dt, & vbry_north, vbry_north_dt real tbry_north(-1:Lm+2+padd_X,N,NT), & tbry_north_dt(-1:Lm+2+padd_X,N,2,NT) common /bry_t_north/ tbry_north, tbry_north_dt integer*4 Istr,Iend,Jstr,Jend, i,j,k real grad(Istr-2:Iend+2,Jstr-2:Jend+2) real cff,eps, & cx,cy, dft,dfx,dfy, tau,tau_in,tau_out parameter (eps=1.D-20) integer*4 IstrR,IendR,JstrR,JendR integer*4 IstrU integer*4 JstrV if (.not.WEST_INTER) then IstrR=Istr-1 IstrU=Istr+1 else IstrR=Istr IstrU=Istr endif if (.not.EAST_INTER) then IendR=Iend+1 else IendR=Iend endif if (.not.SOUTH_INTER) then JstrR=Jstr-1 JstrV=Jstr+1 else JstrR=Jstr JstrV=Jstr endif if (.not.NORTH_INTER) then JendR=Jend+1 else JendR=Jend endif tau_in=dt*tauM_in tau_out=dt*tauM_out if (.not.WEST_INTER) then do k=1,N do j=Jstr,Jend+1 grad(Istr ,j)=(u(Istr ,j,k,nstp)-u(Istr ,j-1,k,nstp)) & *pmask(Istr,j) grad(Istr+1,j)=(u(Istr+1,j,k,nstp)-u(Istr+1,j-1,k,nstp)) & *pmask(Istr+1,j) enddo do j=Jstr,Jend dft=u(Istr+1,j,k,nstp)-u(Istr+1,j,k,nnew) dfx=u(Istr+1,j,k,nnew)-u(Istr+2,j,k,nnew) if (dfx*dft .lt. 0.D0) then dft=0.D0 tau=tau_in else tau=tau_out endif if (dft*(grad(Istr+1,j)+grad(Istr+1,j+1)) .gt. 0.D0) then dfy=grad(Istr+1,j) else dfy=grad(Istr+1,j+1) endif cff=max(dfx*dfx+dfy*dfy, eps) cx=dft*dfx cy=min(cff,max(dft*dfy,-cff)) u(Istr,j,k,nnew)=( cff*u(Istr,j,k,nstp) & +cx*u(Istr+1,j,k,nnew) & -max(cy,0.D0)*grad(Istr,j ) & -min(cy,0.D0)*grad(Istr,j+1) & )/(cff+cx) u(Istr,j,k,nnew)=(1.D0-tau)*u(Istr,j,k,nnew)+tau* & ubry_west(j,k) u(Istr,j,k,nnew)=u(Istr,j,k,nnew)*umask(Istr,j) enddo enddo endif if (.not.EAST_INTER) then do k=1,N do j=Jstr,Jend+1 grad(Iend ,j)=(u(Iend ,j,k,nstp)-u(Iend ,j-1,k,nstp)) & *pmask(Iend,j) grad(Iend+1,j)=(u(Iend+1,j,k,nstp)-u(Iend+1,j-1,k,nstp)) & *pmask(Iend+1,j) enddo do j=Jstr,Jend dft=u(Iend,j,k,nstp)-u(Iend ,j,k,nnew) dfx=u(Iend,j,k,nnew)-u(Iend-1,j,k,nnew) if (dfx*dft .lt. 0.D0) then dft=0.D0 tau=tau_in else tau=tau_out endif if (dft*(grad(Iend,j)+grad(Iend,j+1)) .gt. 0.D0) then dfy=grad(Iend,j) else dfy=grad(Iend,j+1) endif cff=max(dfx*dfx+dfy*dfy, eps) cx=dft*dfx cy=min(cff,max(dft*dfy,-cff)) u(Iend+1,j,k,nnew)=( cff*u(Iend+1,j,k,nstp) & +cx*u(Iend,j,k,nnew) & -max(cy,0.D0)*grad(Iend+1,j ) & -min(cy,0.D0)*grad(Iend+1,j+1) & )/(cff+cx) u(Iend+1,j,k,nnew)=(1.D0-tau)*u(Iend+1,j,k,nnew)+tau* & ubry_east(j,k) u(Iend+1,j,k,nnew)=u(Iend+1,j,k,nnew)*umask(Iend+1,j) enddo enddo endif if (.not.SOUTH_INTER) then do k=1,N do i=IstrU-1,Iend grad(i,Jstr-1)=u(i+1,Jstr-1,k,nstp)-u(i,Jstr-1,k,nstp) grad(i,Jstr )=u(i+1,Jstr ,k,nstp)-u(i,Jstr ,k,nstp) enddo do i=IstrU,Iend dft=u(i,Jstr,k,nstp)-u(i,Jstr ,k,nnew) dfx=u(i,Jstr,k,nnew)-u(i,Jstr+1,k,nnew) if (dfx*dft .lt. 0.D0) then dft=0.D0 tau=tau_in else tau=tau_out endif if (dft*(grad(i-1,Jstr)+grad(i,Jstr)) .gt. 0.D0) then dfy=grad(i-1,Jstr) else dfy=grad(i ,Jstr) endif cff=max(dfx*dfx+dfy*dfy, eps) cx=dft*dfx cy=min(cff,max(dft*dfy,-cff)) u(i,Jstr-1,k,nnew)=( cff*u(i,Jstr-1,k,nstp) & +cx*u(i,Jstr,k,nnew) & -max(cy,0.D0)*grad(i-1,Jstr-1) & -min(cy,0.D0)*grad(i ,Jstr-1) & )/(cff+cx) u(i,Jstr-1,k,nnew)=(1.D0-tau)*u(i,Jstr-1,k,nnew) & +tau*ubry_south(i,k) u(i,Jstr-1,k,nnew)=u(i,Jstr-1,k,nnew)*umask(i,Jstr-1) enddo enddo endif if (.not.NORTH_INTER) then do k=1,N do i=IstrU-1,Iend grad(i,Jend )=u(i+1,Jend ,k,nstp)-u(i,Jend ,k,nstp) grad(i,Jend+1)=u(i+1,Jend+1,k,nstp)-u(i,Jend+1,k,nstp) enddo do i=IstrU,Iend dft=u(i,Jend,k,nstp)-u(i,Jend ,k,nnew) dfx=u(i,Jend,k,nnew)-u(i,Jend-1,k,nnew) if (dfx*dft .lt. 0.D0) then dft=0.D0 tau=tau_in else tau=tau_out endif if (dft*(grad(i-1,Jend)+grad(i,Jend)) .gt. 0.D0) then dfy=grad(i-1,Jend) else dfy=grad(i ,Jend) endif cff=max(dfx*dfx+dfy*dfy, eps) cx=dft*dfx cy=min(cff,max(dft*dfy,-cff)) u(i,Jend+1,k,nnew)=( cff*u(i,Jend+1,k,nstp) & +cx*u(i,Jend,k,nnew) & -max(cy,0.D0)*grad(i-1,Jend+1) & -min(cy,0.D0)*grad(i ,Jend+1) & )/(cff+cx) u(i,Jend+1,k,nnew)=(1.D0-tau)*u(i,Jend+1,k,nnew) & +tau*ubry_north(i,k) u(i,Jend+1,k,nnew)=u(i,Jend+1,k,nnew)*umask(i,Jend+1) enddo enddo endif if (.not.WEST_INTER .and. .not.SOUTH_INTER) then do k=1,N u(Istr,Jstr-1,k,nnew)=0.5D0*( u(Istr+1,Jstr-1,k,nnew) & +u(Istr ,Jstr ,k,nnew)) & *umask(Istr,Jstr-1) enddo endif if (.not.EAST_INTER .and. .not.SOUTH_INTER) then do k=1,N u(Iend+1,Jstr-1,k,nnew)=0.5D0*( u(Iend,Jstr-1,k,nnew) & +u(Iend+1,Jstr,k,nnew)) & *umask(Iend+1,Jstr-1) enddo endif if (.not.WEST_INTER .and. .not.NORTH_INTER) then do k=1,N u(Istr,Jend+1,k,nnew)=0.5D0*( u(Istr+1,Jend+1,k,nnew) & +u(Istr ,Jend ,k,nnew)) & *umask(Istr,Jend+1) enddo endif if (.not.EAST_INTER .and. .not.NORTH_INTER) then do k=1,N u(Iend+1,Jend+1,k,nnew)=0.5D0*( u(Iend,Jend+1,k,nnew) & +u(Iend+1,Jend,k,nnew)) & *umask(Iend+1,Jend+1) enddo endif return end