subroutine lmd_bkpp_tile (Istr,Iend,Jstr,Jend, Kv,Kt,Ks, & Gm1,dGm1dS, Gt1,dGt1dS, Gs1,dGs1dS, & wm,ws, my_hbbl,my_kbbl,wrk, Rib) 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, ka,ku,ksave, & imin,imax,jmin,jmax 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), & Gm1(Istr-2:Iend+2,Jstr-2:Jend+2), & dGm1dS(Istr-2:Iend+2,Jstr-2:Jend+2), & Gt1(Istr-2:Iend+2,Jstr-2:Jend+2), & dGt1dS(Istr-2:Iend+2,Jstr-2:Jend+2), & Gs1(Istr-2:Iend+2,Jstr-2:Jend+2), & dGs1dS(Istr-2:Iend+2,Jstr-2:Jend+2), & wm(Istr-2:Iend+2,Jstr-2:Jend+2), & ws(Istr-2:Iend+2,Jstr-2:Jend+2), & my_hbbl(Istr-2:Iend+2,Jstr-2:Jend+2), & my_kbbl(Istr-2:Iend+2,Jstr-2:Jend+2), & wrk(Istr-2:Iend+2,Jstr-2:Jend+2), & Rib(Istr-2:Iend+2,Jstr-2:Jend+2,2) real Vtc, hekman, dVsq, Vtsq, & sig, Kv_bl, Kt_bl, Ks_bl, & cff, lmd_a1, dKv_bl, dKt_bl, dKs_bl, & cff_up, lmd_a2, Gm, Gt, Gs, & cff_dn, Ritop, lmd_a3, & zbl, zsbl, eps parameter (eps=1.D-20) real lmd_cs, lmd_Cv, Ric, lmd_betaT, lmd_epsilon, & lmd_cekman, lmd_nu0c, & Kv0, Kt0, Ks0 parameter ( & lmd_cs=98.96D0, & lmd_Cv=1.8D0, & Ric=0.3D0, & lmd_betaT=-0.2D0, & lmd_epsilon=0.1D0, & lmd_cekman=0.7D0, & lmd_nu0c=0.1D0 & ) 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 Vtc=lmd_Cv*sqrt(-lmd_betaT)/( sqrt(lmd_cs*lmd_epsilon) & *Ric*vonKar*vonKar ) do j=jmin,jmax do i=imin,imax ustar(i,j)=sqrt(sqrt( (0.5D0*(bustr(i,j)+bustr(i+1,j)))**2 & +(0.5D0*(bvstr(i,j)+bvstr(i,j+1)))**2)) enddo enddo do j=jmin,jmax do i=imin,imax wm(i,j)=vonKar*ustar(i,j) ws(i,j)=wm(i,j) enddo enddo ka=1 ku=2 do j=jmin,jmax do i=imin,imax my_hbbl(i,j)=z_r(i,j,N)-z_w(i,j,0) my_kbbl(i,j)=N Rib(i,j,ku)=0.D0 enddo enddo do k=2,N cff=g/rho0 do j=jmin,jmax do i=imin,imax Ritop=-cff*(rho1(i,j,k)-rho1(i,j,1)) & *(z_r(i,j,k)-z_r(i,j,1)) dVsq=0.25D0*( (u(i ,j,k,nstp)-u(i ,j,1,nstp)+ & u(i+1,j,k,nstp)-u(i+1,j,1,nstp))**2 & +(v(i,j ,k,nstp)-v(i,j ,1,nstp)+ & v(i,j+1,k,nstp)-v(i,j+1,1,nstp))**2) Vtsq=Vtc*(z_r(i,j,k)-z_r(i,j,1))*ws(i,j) & *sqrt(max(0.D0,0.5D0*(bvf(i,j,k)+bvf(i,j,k-1)))) Rib(i,j,ka)=Ritop/(dVsq+Vtsq+eps) enddo enddo do j=jmin,jmax do i=imin,imax if (my_kbbl(i,j).eq.N .and. Rib(i,j,ka).gt.Ric) then zbl=z_r(i,j,k)-(z_r(i,j,k)-z_r(i,j,k-1))* & (Ric-Rib(i,j,ka))/(Rib(i,j,ku)-Rib(i,j,ka)) my_hbbl(i,j)=zbl-z_w(i,j,0) my_kbbl(i,j)=k endif enddo enddo ksave=ka ka=ku ku=ksave enddo do j=jmin,jmax do i=imin,imax hekman=lmd_cekman*ustar(i,j)/max(abs(f(i,j)),1.D-6) my_hbbl(i,j)=min(my_hbbl(i,j),hekman) enddo enddo if (.not.WEST_INTER) then do j=jmin,jmax my_hbbl(Istr-1,j)=my_hbbl(Istr,j) enddo endif if (.not.EAST_INTER) then do j=jmin,jmax my_hbbl(Iend+1,j)=my_hbbl(Iend,j) enddo endif if (.not.SOUTH_INTER) then do i=imin,imax my_hbbl(i,Jstr-1)=my_hbbl(i,Jstr) enddo endif if (.not.NORTH_INTER) then do i=imin,imax my_hbbl(i,Jend+1)=my_hbbl(i,Jend) enddo endif if (.not.WEST_INTER.and..not.SOUTH_INTER) then my_hbbl(Istr-1,Jstr-1)=my_hbbl(Istr,Jstr) endif if (.not.WEST_INTER.and..not.NORTH_INTER) then my_hbbl(Istr-1,Jend+1)=my_hbbl(Istr,Jend) endif if (.not.EAST_INTER.and..not.SOUTH_INTER) then my_hbbl(Iend+1,Jstr-1)=my_hbbl(Iend,Jstr) endif if (.not.EAST_INTER.and..not.NORTH_INTER) then my_hbbl(Iend+1,Jend+1)=my_hbbl(Iend,Jend) endif do j=Jstr,Jend+1 do i=Istr,Iend+1 wrk(i,j)=0.25D0*(my_hbbl(i,j) +my_hbbl(i-1,j) & +my_hbbl(i,j-1)+my_hbbl(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_hbbl(i,j)=(1.D0-cff)*my_hbbl(i,j)+ & 0.25D0*(wrk(i,j) +wrk(i+1,j) & +wrk(i,j+1)+wrk(i+1,j+1)) my_hbbl(i,j)=my_hbbl(i,j)*rmask(i,j) enddo enddo do j=Jstr,Jend do i=Istr,Iend hbbl(i,j)=min(my_hbbl(i,j),z_w(i,j,N)-z_w(i,j,0)) & *rmask(i,j) kbbl(i,j)=N enddo enddo do k=N,1,-1 do j=Jstr,Jend do i=Istr,Iend if (z_r(i,j,k)-z_w(i,j,0).gt.hbbl(i,j)) then kbbl(i,j)=k endif enddo enddo enddo do j=Jstr,Jend do i=Istr,Iend zbl=z_w(i,j,0)+hbbl(i,j) k=kbbl(i,j) if (zbl.lt.z_w(i,j,k-1)) k=k-1 cff=1.D0/(z_w(i,j,k)-z_w(i,j,k-1)) cff_up=cff*(zbl-z_w(i,j,k-1)) cff_dn=cff*(z_w(i,j,k)-zbl) Kv_bl=cff_up*Kv(i,j,k)+cff_dn*Kv(i,j,k-1) dKv_bl=-cff*(Kv(i,j,k)-Kv(i,j,k-1)) Gm1(i,j)=Kv_bl/(hbbl(i,j)*wm(i,j)+eps) dGm1dS(i,j)=min(0.D0,dKv_bl/(wm(i,j)+eps)) Kt_bl=cff_up*Kt(i,j,k)+cff_dn*Kt(i,j,k-1) dKt_bl=-cff*(Kt(i,j,k)-Kt(i,j,k-1)) Gt1(i,j)=Kt_bl/(hbbl(i,j)*ws(i,j)+eps) dGt1dS(i,j)=min(0.D0,dKt_bl/(ws(i,j)+eps)) Ks_bl=cff_up*Ks(i,j,k)+cff_dn*Ks(i,j,k-1) dKs_bl=-cff*(Ks(i,j,k)-Ks(i,j,k-1)) Gs1(i,j)=Ks_bl/(hbbl(i,j)*ws(i,j)+eps) dGs1dS(i,j)=min(0.D0,dKs_bl/(ws(i,j)+eps)) enddo enddo do k=1,N-1 do j=Jstr,Jend do i=Istr,Iend if (k.lt.kbbl(i,j)) then sig=min((z_w(i,j,k)-z_w(i,j,0))/(hbbl(i,j)+eps),1.D0) sig=sig*rmask(i,j) lmd_a1=sig-2.D0 lmd_a2=3.D0-2.D0*sig lmd_a3=sig-1.D0 Gm=lmd_a1+lmd_a2*Gm1(i,j)+lmd_a3*dGm1dS(i,j) Gt=lmd_a1+lmd_a2*Gt1(i,j)+lmd_a3*dGt1dS(i,j) Gs=lmd_a1+lmd_a2*Gs1(i,j)+lmd_a3*dGs1dS(i,j) Kv0=hbbl(i,j)*wm(i,j)*sig*(1.D0+sig*Gm) Kt0=hbbl(i,j)*ws(i,j)*sig*(1.D0+sig*Gt) Ks0=hbbl(i,j)*ws(i,j)*sig*(1.D0+sig*Gs) zsbl=z_w(i,j,N)-hbls(i,j,3-nstp) if (z_w(i,j,k).gt.zsbl) then Kv0=max(Kv0,Kv(i,j,k)) Kt0=max(Kt0,Kt(i,j,k)) Ks0=max(Ks0,Ks(i,j,k)) endif Kv(i,j,k)=Kv0 Kt(i,j,k)=Kt0 Ks(i,j,k)=Ks0 else if (bvf(i,j,k).lt.0.D0) then zsbl=z_w(i,j,N)-hbls(i,j,3-nstp) if (z_w(i,j,k).lt.zsbl) then Kv(i,j,k)=Kv(i,j,k)+lmd_nu0c Kt(i,j,k)=Kt(i,j,k)+lmd_nu0c Ks(i,j,k)=Ks(i,j,k)+lmd_nu0c endif endif endif enddo enddo enddo if (.not.WEST_INTER) then do j=jstr,jend hbbl(istr-1,j)=hbbl(istr,j) enddo endif if (.not.EAST_INTER) then do j=jstr,jend hbbl(iend+1,j)=hbbl(iend,j) enddo endif if (.not.SOUTH_INTER) then do i=istr,iend hbbl(i,jstr-1)=hbbl(i,jstr) enddo endif if (.not.NORTH_INTER) then do i=istr,iend hbbl(i,jend+1)=hbbl(i,jend) enddo endif if (.not.WEST_INTER .and. .not.SOUTH_INTER) then hbbl(istr-1,jstr-1)=hbbl(istr,jstr) endif if (.not.WEST_INTER .and. .not.NORTH_INTER) then hbbl(istr-1,jend+1)=hbbl(istr,jend) endif if (.not.EAST_INTER .and. .not.SOUTH_INTER) then hbbl(iend+1,jstr-1)=hbbl(iend,jstr) endif if (.not.EAST_INTER .and. .not.NORTH_INTER) then hbbl(iend+1,jend+1)=hbbl(iend,jend) endif call exchange_r2d_tile (Istr,Iend,Jstr,Jend,hbbl(-1,-1)) return end