subroutine lmd_skpp_tile (Istr,Iend,Jstr,Jend, Kv,Kt,Ks, & my_hbl, Bo,Bosol, & Gm1,dGm1dS, Gt1,dGt1dS, Gs1,dGs1dS, & Bfsfc_bl,Cr,FC,wrk1,wrk2,wrk3, & swr_frac, my_kbl) implicit none integer*4 LLm,Lm,MMm,Mm,N, LLm0,MMm0 parameter (LLm0=503, MMm0=601, N=42) 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 sustr(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real svstr(-1:Lm+2+padd_X,-1:Mm+2+padd_E) common /forces_sustr/sustr /forces_svstr/svstr real smstr(-1:Lm+2+padd_X,-1:Mm+2+padd_E) common /forces_smstr/smstr real patm2d(-1:Lm+2+padd_X,-1:Mm+2+padd_E) common /forces_patm/ patm2d real paref parameter(paref=101325) real sustrg(-1:Lm+2+padd_X,-1:Mm+2+padd_E,2) real svstrg(-1:Lm+2+padd_X,-1:Mm+2+padd_E,2) common /smsdat_sustrg/sustrg /smsdat_svstrg/svstrg real sustrp(2), svstrp(2), sms_time(2) real sms_cycle, sms_scale integer*4 itsms, sms_ncycle, sms_rec, lsusgrd integer*4 lsvsgrd,sms_tid, susid, svsid real sms_origin_date_in_sec common /smsdat1/ sustrp, svstrp, sms_time common /smsdat2/ sms_origin_date_in_sec common /smsdat3/ sms_cycle, sms_scale common /smsdat4/ itsms, sms_ncycle, sms_rec, lsusgrd common /smsdat5/ lsvsgrd,sms_tid, susid, svsid integer*4 lwgrd, wid common /smsdat5/ lwgrd, wid real bustr(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real bvstr(-1:Lm+2+padd_X,-1:Mm+2+padd_E) common /forces_bustr/bustr /forces_bvstr/bvstr real bustrg(-1:Lm+2+padd_X,-1:Mm+2+padd_E,2) real bvstrg(-1:Lm+2+padd_X,-1:Mm+2+padd_E,2) common /bmsdat_bustrg/bustrg /bmsdat_bvstrg/bvstrg real bms_tintrp(2), bustrp(2), bvstrp(2), tbms(2) real bmsclen, bms_tstart, bms_tend, tsbms, sclbms integer*4 itbms, bmstid,busid, bvsid, tbmsindx logical bmscycle, bms_onerec, lbusgrd, lbvsgrd common /bmsdat1/bms_tintrp, bustrp, bvstrp, tbms common /bmsdat2/bmsclen, bms_tstart, bms_tend, tsbms, sclbms common /bmsdat3/itbms, bmstid,busid, bvsid, tbmsindx common /bmsdat4/bmscycle, bms_onerec, lbusgrd, lbvsgrd real stflx(-1:Lm+2+padd_X,-1:Mm+2+padd_E,NT) common /forces_stflx/stflx real stflxg(-1:Lm+2+padd_X,-1:Mm+2+padd_E,2,NT) common /stfdat_stflxg/stflxg real stflxp(2,NT), stf_time(2,NT) real stf_cycle(NT), stf_scale(NT) integer*4 itstf(NT), stf_ncycle(NT), stf_rec(NT) integer*4 lstfgrd(NT), stf_tid(NT), stf_id(NT) REAL(kind=8) :: stf_origin_date_in_sec common /stfdat1/ stflxp, stf_time, stf_cycle, stf_scale common /stfdat2/ stf_origin_date_in_sec common /stfdat3/ itstf, stf_ncycle, stf_rec, lstfgrd common /stfdat4/ stf_tid, stf_id real btflx(-1:Lm+2+padd_X,-1:Mm+2+padd_E,NT) common /forces_btflx/btflx real srflx(-1:Lm+2+padd_X,-1:Mm+2+padd_E) common /forces_srflx/srflx real srflxg(-1:Lm+2+padd_X,-1:Mm+2+padd_E,2) common /srfdat_srflxg/srflxg real srflxp(2),srf_time(2) real srf_cycle, srf_scale integer*4 itsrf, srf_ncycle, srf_rec integer*4 lsrfgrd, srf_tid, srf_id REAL(kind=8) :: srf_origin_date_in_sec common /srfdat1/ srflxp, srf_time, srf_cycle, srf_scale common /srfdat2/ srf_origin_date_in_sec common /srfdat3/ itsrf,srf_ncycle,srf_rec,lsrfgrd,srf_tid,srf_id real visc2_r(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real visc2_p(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real visc2_sponge_r(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real visc2_sponge_p(-1:Lm+2+padd_X,-1:Mm+2+padd_E) common /mixing_visc2_r/visc2_r /mixing_visc2_p/visc2_p common /mixing_visc2_sponge_r/visc2_sponge_r common /mixing_visc2_sponge_p/visc2_sponge_p real diff2_sponge(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real diff2(-1:Lm+2+padd_X,-1:Mm+2+padd_E,NT) common /mixing_diff2_sponge/diff2_sponge common /mixing_diff2/diff2 real diff4_sponge(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real diff4(-1:Lm+2+padd_X,-1:Mm+2+padd_E,NT) common /mixing_diff4_sponge/diff4_sponge common /mixing_diff4/diff4 real diff3d_u(-1:Lm+2+padd_X,-1:Mm+2+padd_E,N) real diff3d_v(-1:Lm+2+padd_X,-1:Mm+2+padd_E,N) common /mixing_diff3d_u/diff3d_u common /mixing_diff3d_v/diff3d_v real dRdx(-1:Lm+2+padd_X,-1:Mm+2+padd_E,N) real dRde(-1:Lm+2+padd_X,-1:Mm+2+padd_E,N) real idRz(-1:Lm+2+padd_X,-1:Mm+2+padd_E,0:N) common /mixing_dRdx/dRdx common /mixing_dRde/dRde common /mixing_idRz/idRz real Rslope_max,Gslope_max parameter (Gslope_max=1.D0, Rslope_max=0.05D0) integer*4 ismooth real csmooth common /mixing_csmooth/ csmooth common /mixing_ismooth/ ismooth real Akv(-1:Lm+2+padd_X,-1:Mm+2+padd_E,0:N) real Akt(-1:Lm+2+padd_X,-1:Mm+2+padd_E,0:N,2) common /mixing_Akv/Akv /mixing_Akt/Akt real bvf(-1:Lm+2+padd_X,-1:Mm+2+padd_E,0:N) common /mixing_bvf/ bvf real ustar(-1:Lm+2+padd_X,-1:Mm+2+padd_E) common /lmd_kpp_ustar/ustar integer*4 kbl(-1:Lm+2+padd_X,-1:Mm+2+padd_E) integer*4 kbbl(-1:Lm+2+padd_X,-1:Mm+2+padd_E) real hbbl(-1:Lm+2+padd_X,-1:Mm+2+padd_E) common /lmd_kpp_kbl/ kbl common /lmd_kpp_hbbl/ hbbl common /lmd_kpp_kbbl/ kbbl real hbls(-1:Lm+2+padd_X,-1:Mm+2+padd_E,2) common /lmd_kpp_hbl/ hbls real ghats(-1:Lm+2+padd_X,-1:Mm+2+padd_E,0:N) common /lmd_kpp_ghats/ghats 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.) integer*4 Istr,Iend,Jstr,Jend, i,j,k, khbl integer*4 imin,imax,jmin,jmax integer*4 my_kbl(Istr-2:Iend+2 ) real Kv (Istr-2:Iend+2,Jstr-2:Jend+2,0:N ), & Kt (Istr-2:Iend+2,Jstr-2:Jend+2,0:N ), & Ks (Istr-2:Iend+2,Jstr-2:Jend+2,0:N ), & swr_frac(Istr-2:Iend+2,Jstr-2:Jend+2,0:N ), & my_hbl(Istr-2:Iend+2,Jstr-2:Jend+2 ), & Bo (Istr-2:Iend+2,Jstr-2:Jend+2 ), & Bosol (Istr-2:Iend+2,Jstr-2:Jend+2 ), & Gm1(Istr-2:Iend+2 ), & dGm1dS(Istr-2:Iend+2 ), & Gt1(Istr-2:Iend+2 ), & dGt1dS(Istr-2:Iend+2 ), & Gs1(Istr-2:Iend+2 ), & dGs1dS(Istr-2:Iend+2 ), & Bfsfc_bl(Istr-2:Iend+2 ), & Cr (Istr-2:Iend+2,0:N ), & FC (Istr-2:Iend+2,0:N ), & wrk1(Istr-2:Iend+2,0:N ), & wrk2(Istr-2:Iend+2,0:N ), & wrk3(Istr-2:Iend+2,Jstr-2:Jend+2 ) real eps parameter (eps=1.D-20) real ustar3,Bfsfc,zscale,zetahat, ws,wm,z_bl real Av_bl,dAv_bl, f1,At_bl,dAt_bl,As_bl,dAs_bl real Kern, Vtc, Vtsq, sigma, cff,cff1, cff_up,cff_dn real zeta_m, a_m, c_m, zeta_s, a_s,c_s,r2,r3,r4 real a1,a2,a3 real nu0c, Cv, Ric, Ri_inv, & betaT,epssfc,Cstar,Cg,C_Ek real ustarb real su_r, sv_r, ustokes parameter ( & Cv=1.8D0, & Ric=0.15D0, & Ri_inv=1.D0/Ric, & betaT=-0.2D0, & epssfc=0.1D0, & Cstar=10.D0, & nu0c=0.1D0, & C_Ek=258.D0, & zeta_m=-0.2D0, & a_m=1.257D0, & c_m=8.360D0, & zeta_s=-1.0D0, & a_s=-28.86D0, & c_s=98.96D0, & r2=0.5D0, r3=1.D0/3.D0, r4=0.25D0 & ) if (.not.WEST_INTER) then imin=Istr else imin=Istr-1 endif if (.not.EAST_INTER) then imax=Iend else imax=Iend+1 endif if (.not.SOUTH_INTER) then jmin=Jstr else jmin=Jstr-1 endif if (.not.NORTH_INTER) then jmax=Jend else jmax=Jend+1 endif Cg=Cstar*vonKar*(c_s*vonKar*epssfc)**r3 Vtc= Cv * sqrt(-betaT/(c_s*epssfc)) / (Ric*vonKar**2) call alfabeta_tile (Istr,Iend,Jstr,Jend, Bosol,Bo) do j=jmin,jmax do i=imin,imax Bo(i,j)= 0 & +g*( Bosol(i,j)*(stflx(i,j,itemp)-srflx(i,j))) & -g*Bo(i,j)*stflx(i,j,isalt) Bosol(i,j)=g*Bosol(i,j)*srflx(i,j) ustar(i,j)=sqrt(smstr(i,j)) enddo enddo do k=0,N-1 do j=jmin,jmax do i=imin,imax wrk3(i,j)=z_w(i,j,k)-z_w(i,j,N) enddo enddo call lmd_swfrac_ER_tile (Istr,Iend,Jstr,Jend,1.D0,wrk3,my_hbl) do j=jmin,jmax do i=imin,imax swr_frac(i,j,k)=my_hbl(i,j) enddo enddo enddo do j=jmin,jmax do i=imin,imax swr_frac(i,j,N)=1.D0 enddo enddo do j=jmin,jmax do i=imin,imax my_hbl(i,j) = hbls(i,j,nstp) my_kbl(i) = 0 FC(i,N) = 0.D0 Cr(i,N) = 0.D0 Cr(i,0) = 0.D0 enddo do k=1,N-1 do i=imin,imax cff=1.D0/(Hz(i,j,k)+Hz(i,j,k+1)) wrk1(i,k)=cff*( u(i,j,k+1,nstp)+u(i+1,j,k+1,nstp) & -u(i,j,k ,nstp)-u(i+1,j,k ,nstp)) wrk2(i,k)=cff*( v(i,j,k+1,nstp)+v(i,j+1,k+1,nstp) & -v(i,j,k ,nstp)-v(i,j+1,k ,nstp)) enddo enddo do i=imin,imax wrk1(i,N)=wrk1(i,N-1) wrk2(i,N)=wrk2(i,N-1) wrk1(i,0)=wrk1(i, 1) wrk2(i,0)=wrk2(i, 1) enddo do k=N,1,-1 do i=imin,imax zscale = z_w(i,j,N)-z_w(i,j,k-1) Kern = zscale/(zscale+epssfc*my_hbl(i,j)) Bfsfc = Bo(i,j) +Bosol(i,j)*(1.D0-swr_frac(i,j,k-1)) if (Bfsfc .lt. 0.D0) zscale=min(zscale, & my_hbl(i,j)*epssfc) zscale=zscale*rmask(i,j) zetahat=vonKar*zscale*Bfsfc ustar3=ustar(i,j)**3 if (zetahat .ge. 0.D0) then ws=vonKar*ustar(i,j)*ustar3/max(ustar3+5.D0*zetahat, & 1.D-20) elseif (zetahat .gt. zeta_s*ustar3) then ws=vonKar*( (ustar3-16.D0*zetahat)/ustar(i,j) )**r2 else ws=vonKar*(a_s*ustar3-c_s*zetahat)**r3 endif cff=bvf(i,j,k)*bvf(i,j,k-1) if (cff.gt.0.D0) then cff=cff/(bvf(i,j,k)+bvf(i,j,k-1)) else cff=0.D0 endif FC(i,k-1)=FC(i,k) + Kern*Hz(i,j,k)* & ( 0.375D0*( wrk1(i,k)**2 + wrk1(i,k-1)**2 & + wrk2(i,k)**2 + wrk2(i,k-1)**2 ) & + 0.25D0 *( wrk1(i,k-1)*wrk1(i,k) & + wrk2(i,k-1)*wrk2(i,k) ) & - Ri_inv*( cff + & 0.25D0*(bvf(i,j,k)+bvf(i,j,k-1)) ) & - C_Ek*f(i,j)*f(i,j) ) Vtsq=Vtc*ws*sqrt(max(0.D0, bvf(i,j,k-1))) Cr(i,k-1)=FC(i,k-1) +Vtsq if (my_kbl(i).eq.0 .and. Cr(i,k-1).lt.0.D0) & my_kbl(i)=k enddo enddo do i=imin,imax if (my_kbl(i).gt.0) then k=my_kbl(i) my_hbl(i,j)=z_w(i,j,N)-( z_w(i,j,k-1)*Cr(i,k) & -z_w(i,j,k)*Cr(i,k-1) & )/(Cr(i,k)-Cr(i,k-1)) else my_hbl(i,j)=z_w(i,j,N)-z_w(i,j,0) endif enddo enddo if (.not.WEST_INTER) then do j=jmin,jmax my_hbl(Istr-1,j)=my_hbl(Istr,j) enddo endif if (.not.EAST_INTER) then do j=jmin,jmax my_hbl(Iend+1,j)=my_hbl(Iend,j) enddo endif if (.not.SOUTH_INTER) then do i=imin,imax my_hbl(i,Jstr-1)=my_hbl(i,Jstr) enddo endif if (.not.NORTH_INTER) then do i=imin,imax my_hbl(i,Jend+1)=my_hbl(i,Jend) enddo endif if (.not.WEST_INTER.and..not.SOUTH_INTER) then my_hbl(Istr-1,Jstr-1)=my_hbl(Istr,Jstr) endif if (.not.WEST_INTER.and..not.NORTH_INTER) then my_hbl(Istr-1,Jend+1)=my_hbl(Istr,Jend) endif if (.not.EAST_INTER.and..not.SOUTH_INTER) then my_hbl(Iend+1,Jstr-1)=my_hbl(Iend,Jstr) endif if (.not.EAST_INTER.and..not.NORTH_INTER) then my_hbl(Iend+1,Jend+1)=my_hbl(Iend,Jend) endif do j=Jstr,Jend+1 do i=Istr,Iend+1 wrk3(i,j)=0.25D0*(my_hbl(i,j) +my_hbl(i-1,j) & +my_hbl(i,j-1)+my_hbl(i-1,j-1)) & *pmask2(i,j) enddo enddo do j=Jstr,Jend do i=Istr,Iend cff=0.25D0*(pmask2(i,j) +pmask2(i+1,j) & +pmask2(i,j+1) +pmask2(i+1,j+1)) my_hbl(i,j)=(1.D0-cff)*my_hbl(i,j)+ & 0.25D0*(wrk3(i,j) +wrk3(i+1,j) & +wrk3(i,j+1)+wrk3(i+1,j+1)) my_hbl(i,j)=my_hbl(i,j)*rmask(i,j) enddo enddo do j=Jstr,Jend do i=istr,iend kbl(i,j)=N enddo do k=N-1,1,-1 do i=istr,iend my_hbl(i,j)=min(my_hbl(i,j),z_w(i,j,N)-z_w(i,j,0)) & *rmask(i,j) if (z_w(i,j,k) .gt. z_w(i,j,N)-my_hbl(i,j)) kbl(i,j)=k enddo enddo do i=istr,iend k=kbl(i,j) z_bl=z_w(i,j,N)-my_hbl(i,j) zscale=my_hbl(i,j) if (swr_frac(i,j,k-1).gt. 0.D0) then Bfsfc=Bo(i,j) +Bosol(i,j)*( 1.D0 -swr_frac(i,j,k-1) & *swr_frac(i,j,k)*(z_w(i,j,k)-z_w(i,j,k-1)) & /( swr_frac(i,j,k )*(z_w(i,j,k) -z_bl) & +swr_frac(i,j,k-1)*(z_bl -z_w(i,j,k-1)) & )) else Bfsfc=Bo(i,j)+Bosol(i,j) endif if (Bfsfc.lt.0.D0) zscale=min(zscale, & my_hbl(i,j)*epssfc) zscale=zscale*rmask(i,j) zetahat=vonKar*zscale*Bfsfc ustar3=ustar(i,j)**3 if (zetahat.ge.0.D0) then wm=vonKar*ustar(i,j)*ustar3/max( ustar3+5.D0*zetahat, & 1.D-20) ws=wm else if (zetahat .gt. zeta_m*ustar3) then wm=vonKar*( ustar(i,j)*(ustar3-16.D0*zetahat) )**r4 else wm=vonKar*(a_m*ustar3-c_m*zetahat)**r3 endif if (zetahat .gt. zeta_s*ustar3) then ws=vonKar*( (ustar3-16.D0*zetahat)/ustar(i,j) )**r2 else ws=vonKar*(a_s*ustar3-c_s*zetahat)**r3 endif endif f1=5.0D0 * max(0.D0, Bfsfc) * vonKar/(ustar(i,j)**4+eps) cff=1.D0/(z_w(i,j,k)-z_w(i,j,k-1)) cff_up=cff*(z_bl -z_w(i,j,k-1)) cff_dn=cff*(z_w(i,j,k) -z_bl) if(k.eq.1) then ustarb=SQRT(SQRT((0.5D0*(bustr(i,j)+bustr(i+1,j)))**2+ & (0.5D0*(bvstr(i,j)+bvstr(i,j+1)))**2)) dAv_bl=vonKar*ustarb Av_bl=dAv_bl*(z_bl-z_w(i,j,0)) dAt_bl=vonKar*ustarb At_bl=dAt_bl*(z_bl-z_w(i,j,0)) dAs_bl=vonKar*ustarb As_bl=dAs_bl*(z_bl-z_w(i,j,0)) else Av_bl=cff_up*Kv(i,j,k)+cff_dn*Kv(i,j,k-1) dAv_bl=cff * (Kv(i,j,k) - Kv(i,j,k-1)) At_bl=cff_up*Kt(i,j,k)+cff_dn*Kt(i,j,k-1) dAt_bl=cff * (Kt(i,j,k) - Kt(i,j,k-1)) As_bl=cff_up*Ks(i,j,k)+cff_dn*Ks(i,j,k-1) dAs_bl=cff * (Ks(i,j,k) - Ks(i,j,k-1)) endif Gm1(i)=Av_bl/(my_hbl(i,j)*wm+eps) dGm1dS(i)=min(0.D0, Av_bl*f1-dAv_bl/(wm+eps)) Gt1(i)=At_bl/(my_hbl(i,j)*ws+eps) dGt1dS(i)=min(0.D0, At_bl*f1-dAt_bl/(ws+eps)) Gs1(i)=As_bl/(my_hbl(i,j)*ws+eps) dGs1dS(i)=min(0.D0, As_bl*f1-dAs_bl/(ws+eps)) Bfsfc_bl(i)=Bfsfc enddo do i=istr,iend khbl=kbl(i,j) do k=N-1,khbl,-1 Bfsfc=Bfsfc_bl(i) zscale=z_w(i,j,N)-z_w(i,j,k) if (Bfsfc.lt.0.D0) zscale=min(zscale, & my_hbl(i,j)*epssfc) zscale=zscale*rmask(i,j) zetahat=vonKar*zscale*Bfsfc ustar3=ustar(i,j)**3 if (zetahat.ge.0.D0) then wm=vonKar*ustar(i,j)*ustar3/max( ustar3+5.D0*zetahat, & 1.D-20) ws=wm else if (zetahat .gt. zeta_m*ustar3) then wm=vonKar*( ustar(i,j)*(ustar3-16.D0*zetahat) )**r4 else wm=vonKar*(a_m*ustar3-c_m*zetahat)**r3 endif if (zetahat .gt. zeta_s*ustar3) then ws=vonKar*( (ustar3-16.D0*zetahat)/ustar(i,j) )**r2 else ws=vonKar*(a_s*ustar3-c_s*zetahat)**r3 endif endif sigma=(z_w(i,j,N)-z_w(i,j,k))/max(my_hbl(i,j),eps) a1=sigma-2.D0 a2=3.D0-2.D0*sigma a3=sigma-1.D0 if (sigma.lt.0.07D0) then cff=0.5D0*(sigma-0.07D0)**2/0.07D0 else cff=0.D0 endif Kv(i,j,k)=wm*my_hbl(i,j)*( cff + sigma*( 1.D0+sigma*( & a1+a2*Gm1(i)+a3*dGm1dS(i) ))) Kt(i,j,k)=ws*my_hbl(i,j)*( cff + sigma*( 1.D0+sigma*( & a1+a2*Gt1(i)+a3*dGt1dS(i) ))) Ks(i,j,k)=ws*my_hbl(i,j)*( cff + sigma*( 1.D0+sigma*( & a1+a2*Gs1(i)+a3*dGs1dS(i) ))) if (Bfsfc .lt. 0.D0) then ghats(i,j,k)=Cg * sigma*(1.D0-sigma)**2 else ghats(i,j,k)=0.D0 endif enddo do k=khbl-1,1,-1 ghats(i,j,k)=0.D0 enddo enddo enddo do j=jstr,jend do i=istr,iend hbls(i,j,3-nstp)=my_hbl(i,j) enddo enddo if (.not.WEST_INTER) then do j=jstr,jend hbls(istr-1,j,3-nstp)=hbls(istr,j,3-nstp) kbl (istr-1,j) =kbl(istr,j) enddo endif if (.not.EAST_INTER) then do j=jstr,jend hbls(iend+1,j,3-nstp)=hbls(iend,j,3-nstp) kbl(iend+1,j)=kbl(iend,j) enddo endif if (.not.SOUTH_INTER) then do i=istr,iend hbls(i,jstr-1,3-nstp)=hbls(i,jstr,3-nstp) kbl(i,jstr-1)=kbl(i,jstr) enddo endif if (.not.NORTH_INTER) then do i=istr,iend hbls(i,jend+1,3-nstp)=hbls(i,jend,3-nstp) kbl(i,jend+1)=kbl(i,jend) enddo endif if (.not.WEST_INTER .and. .not.SOUTH_INTER) then hbls(istr-1,jstr-1,3-nstp)=hbls(istr,jstr,3-nstp) kbl(istr-1,jstr-1)=kbl(istr,jstr) endif if (.not.WEST_INTER .and. .not.NORTH_INTER) then hbls(istr-1,jend+1,3-nstp)=hbls(istr,jend,3-nstp) kbl(istr-1,jend+1)=kbl(istr,jend) endif if (.not.EAST_INTER .and. .not.SOUTH_INTER) then hbls(iend+1,jstr-1,3-nstp)=hbls(iend,jstr,3-nstp) kbl(iend+1,jstr-1)=kbl(iend,jstr) endif if (.not.EAST_INTER .and. .not.NORTH_INTER) then hbls(iend+1,jend+1,3-nstp)=hbls(iend,jend,3-nstp) kbl(iend+1,jend+1)=kbl(iend,jend) endif call exchange_r2d_tile (istr,iend,jstr,jend, & hbls(-1,-1,3-nstp)) return end