subroutine clinic (joff, js, je, is, ie) #if defined O_mom !======================================================================= ! compute internal mode velocity components for rows js through je ! in the MW. ! input: ! joff = offset relating "j" in the MW to latitude "jrow" ! js = starting row in the MW ! je = ending row in the MW ! is = starting longitude index in the MW ! ie = ending longitude index in the MW !======================================================================= implicit none integer istrt, iend integer i, k, j, jrow, n, js, je, limit, joff, kb, is, ie real adv_ux, adv_uy, adv_uz, adv_metric, diff_ux, diff_uz, fx real diff_uy, diff_metric, coriolis, aprime, grav_rho0r, fxa real fxb, t1, t2, ambi_csur, del2, ambi_cst_dytr, detmr, unep include "size.h" include "param.h" include "pconst.h" include "stdunits.h" # if defined O_neptune include "cnep.h" # endif include "coord.h" include "csbc.h" include "grdvar.h" include "hmixc.h" include "emode.h" include "levind.h" include "mw.h" include "scalar.h" include "switch.h" include "vmixc.h" include "fdifm.h" parameter (istrt=2, iend=imt-1) real tempik(imt,km,jsmw:jmw) real baru(imt,jsmw:jemw,2) !----------------------------------------------------------------------- ! bail out if starting row exceeds ending row !----------------------------------------------------------------------- if (js .gt. je) return !----------------------------------------------------------------------- ! limit the longitude indices based on those from the argument list ! Note: these are currently bypassed. istrt and iend are set as ! parameters to optimize performance !----------------------------------------------------------------------- ! istrt = max(2,is) ! iend = min(imt-1,ie) !----------------------------------------------------------------------- ! build coefficients to minimize advection and diffusion computation !----------------------------------------------------------------------- # if defined O_biharmonic limit = min(je+1+joff,jmt) - joff do j=js,limit # else do j=js,je # endif jrow = j + joff do i=istrt-1,iend csudxur(i,j) = csur(jrow)*dxur(i) csudxu2r(i,j) = csur(jrow)*dxur(i)*p5 # if defined O_consthmix am_csudxtr(i,j) = am*csur(jrow)*dxtr(i+1) # endif enddo enddo !----------------------------------------------------------------------- ! construct the hydrostatic pressure gradients: 1 = dp/dx; 2 = dp/dy !----------------------------------------------------------------------- ! compute horizontal pressure gradient at the first level # if defined O_pressure_gradient_average ! construct density as in Brown and Campana (1978) (see manual) call state (t(1,1,1,1,taum1), t(1,1,1,2,taum1), rhotaum1(1,1,jsmw) &, js, je+1, istrt-1, iend+1) call state (t(1,1,1,1,taup1), t(1,1,1,2,taup1), rhotaup1(1,1,jsmw) &, js, je+1, istrt-1, iend+1) aprime = 0.25 do j=js,je+1 do k=1,km do i=1,imt rhotilde(i,k,j) = aprime*(rhotaum1(i,k,j) + rhotaup1(i,k,j)) & + (1.0-2.0*aprime)*rho(i,k,j) enddo enddo enddo # endif grav_rho0r = grav*rho0r do j=js,je jrow = j + joff fxa = grav_rho0r*dzw(0)*csur(jrow) fxb = grav_rho0r*dzw(0)*dyu2r(jrow) do i=istrt-1,iend # if defined O_pressure_gradient_average t1 = rhotilde(i+1,1,j+1) - rhotilde(i ,1,j) t2 = rhotilde(i ,1,j+1) - rhotilde(i+1,1,j) # else t1 = rho(i+1,1,j+1) - rho(i ,1,j) t2 = rho(i ,1,j+1) - rho(i+1,1,j) # endif grad_p(i,1,j,1) = (t1-t2)*fxa*dxu2r(i) grad_p(i,1,j,2) = (t1+t2)*fxb enddo enddo ! compute the change in pressure gradient between levels do j=js,je+1 do k=2,km do i=istrt-1,iend+1 # if defined O_pressure_gradient_average tempik(i,k,j) = rhotilde(i,k-1,j) + rhotilde(i,k,j) # else tempik(i,k,j) = rho(i,k-1,j) + rho(i,k,j) # endif enddo enddo enddo do j=js,je jrow = j + joff fxa = grav_rho0r*csur(jrow)*p5 fxb = grav_rho0r*dyu4r(jrow) do k=2,km do i=istrt-1,iend t1 = tempik(i+1,k,j+1) - tempik(i ,k,j) t2 = tempik(i ,k,j+1) - tempik(i+1,k,j) grad_p(i,k,j,1) = fxa*(t1-t2)*dzw(k-1)*dxu2r(i) grad_p(i,k,j,2) = fxb*(t1+t2)*dzw(k-1) enddo enddo enddo ! integrate downward from the first level do j=js,je do k=1,kmm1 do i=istrt-1,iend grad_p(i,k+1,j,1) = grad_p(i,k,j,1) + grad_p(i,k+1,j,1) grad_p(i,k+1,j,2) = grad_p(i,k,j,2) + grad_p(i,k+1,j,2) enddo enddo enddo do j=js,je call setbcx (grad_p(1,1,j,1), imt, km) call setbcx (grad_p(1,1,j,2), imt, km) enddo !----------------------------------------------------------------------- ! solve for one component of velocity at a time ! n = 1 => zonal component ! n = 2 => meridional component !----------------------------------------------------------------------- do n=1,2 # if !defined O_linearized_advection !----------------------------------------------------------------------- ! calculate 2*advective flux (for speed) across east face of ! "u" cells. !----------------------------------------------------------------------- do j=js,je do k=1,km do i=istrt-1,iend adv_fe(i,k,j) = adv_veu(i,k,j)*(u(i, k,j,n,tau) + & u(i+1,k,j,n,tau)) enddo enddo enddo !----------------------------------------------------------------------- ! 2*advective flux across northern face of "u" cells is built ! into ADV_Uy. (It's done this way for performance issues) !----------------------------------------------------------------------- !----------------------------------------------------------------------- ! diffusive flux across east face of "u" cell ! diffusive flux across north face of "u" cell !----------------------------------------------------------------------- # if defined O_consthmix && !defined O_biharmonic ! build diffusive flux on eastern face of "u" cells do j=js,je jrow = j + joff do k=1,km do i=istrt-1,iend diff_fe(i,k,j) = am_csudxtr(i,j)* & (u(i+1,k,j,n,taum1) - u(i,k,j,n,taum1) # if defined O_neptune & - unep(i+1,jrow,n)*umask(i+1,k,j) + & unep(i,jrow,n)*umask(i,k,j) # endif & ) enddo enddo enddo ! diffusive flux on northern face of "u" cells is built ! into DIFF_Uy # endif # endif # if defined O_consthmix && defined O_biharmonic !----------------------------------------------------------------------- ! diffusive flux across eastern face of "u" cell ! diffusive flux across northern face of "u" cell !----------------------------------------------------------------------- do j=js,je jrow = j + joff ambi_csur = visc_ceu*csur(jrow) do k=1,km do i=istrt-1,iend diff_fe(i,k,j) = ambi_csur*dxtr(i+1)* & (del2(i+1,k,j,n) - del2(i,k,j,n)) enddo enddo enddo do j=js-1,je jrow = j + joff ambi_cst_dytr = visc_cnu*cst(jrow+1)*dytr(jrow+1) do k=1,km do i=istrt,iend diff_fn(i,k,j) = ambi_cst_dytr* & (del2(i,k,j+1,n) - del2(i,k,j,n)) enddo enddo enddo # endif # if defined O_smagnlmix && !defined O_consthmix ! calculate diffusive flux on eastern and northern faces of ! "u" cells call smagnlm (joff, js, je, istrt, iend, n) # endif # if !defined O_linearized_advection !----------------------------------------------------------------------- ! calculate 2*advective flux (for speed) on bottom face of ! "u" cell. also diffusive flux on bottom face of "u" cell !----------------------------------------------------------------------- do j=js,je do k=1,kmm1 do i=istrt,iend adv_fb(i,k,j) = adv_vbu(i,k,j)*(u(i,k, j,n,tau) + & u(i,k+1,j,n,tau)) diff_fb(i,k,j) = visc_cbu(i,k,j)*dzwr(k)* & (u(i,k,j,n,taum1) - u(i,k+1,j,n,taum1)) enddo enddo enddo # endif !----------------------------------------------------------------------- ! set surface and bottom vert b.c. on "u" cells for mixing ! and advection. ! note: the b.c. at adv_fb(i,k=bottom,j) is set by the above code. ! However, it is not set when k=km so it is set below. ! adv_fb(i,km,j) is always zero (to within roundoff). !----------------------------------------------------------------------- do j=js,je jrow = j + joff do i=istrt,iend kb = kmu(i,jrow) diff_fb(i,0,j) = smf(i,j,n) diff_fb(i,kb,j) = bmf(i,j,n) adv_fb(i,0,j) = adv_vbu(i,0,j)*(u(i,1,j,n,tau) + & u(i,1,j,n,tau)) adv_fb(i,km,j) = adv_vbu(i,km,j)*u(i,km,j,n,tau) enddo enddo # if defined O_source_term || defined O_npzd || defined O_carbon_14 !----------------------------------------------------------------------- ! set source term for "u" cell !----------------------------------------------------------------------- do j=js,je do k=1,km do i=istrt,iend source(i,k,j) = c0 enddo enddo enddo # endif !----------------------------------------------------------------------- ! solve for the internal mode part of du/dt at center of ! "u" cells by neglecting the surface pressure gradients. use ! statement functions to represent each component of the ! calculation. !----------------------------------------------------------------------- do j=js,je jrow = j + joff do k=1,km do i=istrt,iend u(i,k,j,n,taup1) = & (DIFF_Ux(i,k,j) + DIFF_Uy(i,k,j,jrow,n) + DIFF_Uz(i,k,j) & + DIFF_metric(i,k,j,jrow,n) # if !defined O_linearized_advection & - ADV_Ux(i,k,j) - ADV_Uy(i,k,j,jrow,n) - ADV_Uz(i,k,j) & + ADV_metric(i,k,j,jrow,n) # endif & - grad_p(i,k,j,n) + CORIOLIS(i,k,j,jrow,n) # if defined O_source_term || defined O_npzd || defined O_carbon_14 & + source(i,k,j) # endif & )*umask(i,k,j) enddo enddo enddo # if defined O_implicitvmix !----------------------------------------------------------------------- ! add in du/dt component due to implicit vertical diffusion !----------------------------------------------------------------------- call ivdifu (joff, js, je, istrt, iend, n) # endif !----------------------------------------------------------------------- ! construct diagnostics associated with velocity component "n" !----------------------------------------------------------------------- call diagc1 (joff, js, je, istrt, iend, n) !----------------------------------------------------------------------- ! construct the vertical average of du/dt for forcing ! the barotropic equation !----------------------------------------------------------------------- do j=js,je jrow = j + joff do i=istrt,iend zu(i,jrow,n) = c0 enddo enddo do j=js,je jrow = j + joff do k=1,km fx = dzt(k) do i=istrt,iend zu(i,jrow,n) = zu(i,jrow,n) + u(i,k,j,n,taup1)*fx enddo enddo enddo do j=js,je jrow = j + joff do i=istrt,iend zu(i,jrow,n) = zu(i,jrow,n)*hr(i,jrow) enddo enddo # if defined O_symmetry do j=js,je jrow = j + joff if (jrow .eq. jmtm1 .and. n .eq. 2) then do i=istrt,iend zu(i,jrow,2) = c0 zu(i,jrow+1,2) = -zu(i,jrow-1,2) zu(i,jrow+1,1) = zu(i,jrow-1,1) enddo endif enddo # endif !----------------------------------------------------------------------- ! end of velocity component "n" loop !----------------------------------------------------------------------- enddo !----------------------------------------------------------------------- ! compute "tau+1" velocities accounting for implicit part of the ! coriolis term if treated implicitly. velocities are in error by an ! arbitrary constant related to neglecting the unknown surface ! pressure gradients !----------------------------------------------------------------------- # if defined O_damp_inertial_oscillation do j=js,je jrow = j + joff do k=1,km do i=istrt,iend fx = c2dtuv*acor*cori(i,jrow,1) detmr = c1/(c1 + fx*fx) t1 = (u(i,k,j,1,taup1) + fx*u(i,k,j,2,taup1))*detmr t2 = (u(i,k,j,2,taup1) - fx*u(i,k,j,1,taup1))*detmr u(i,k,j,1,taup1) = u(i,k,j,1,taum1) + c2dtuv*t1 u(i,k,j,2,taup1) = u(i,k,j,2,taum1) + c2dtuv*t2 enddo enddo enddo # else do n=1,2 do j=js,je do k=1,km do i=istrt,iend u(i,k,j,n,taup1) = u(i,k,j,n,taum1) & + c2dtuv*u(i,k,j,n,taup1) enddo enddo enddo enddo # endif !----------------------------------------------------------------------- ! subtract incorrect vertical means (related to ignoring horizontal ! gradients of the surface pressure) to get pure internal modes. !----------------------------------------------------------------------- do n=1,2 do j=js,je do i=istrt,iend baru(i,j,n) = c0 enddo enddo do j=js,je do k=1,km do i=istrt,iend baru(i,j,n) = baru(i,j,n) + u(i,k,j,n,taup1)*dzt(k) enddo enddo enddo do j=js,je jrow = j + joff do i=istrt,iend baru(i,j,n) = baru(i,j,n)*hr(i,jrow) enddo enddo do j=js,je do k=1,km do i=istrt,iend u(i,k,j,n,taup1) = u(i,k,j,n,taup1) & - umask(i,k,j)*baru(i,j,n) enddo enddo call setbcx (u(1,1,j,n,taup1), imt, km) enddo enddo !----------------------------------------------------------------------- ! construct diagnostics involving internal mode velocity at "tau+1" !----------------------------------------------------------------------- call diagc2 (joff, js, je, is, ie) # if defined O_fourfil || defined O_firfil !----------------------------------------------------------------------- ! filter velocity components at high latitudes !----------------------------------------------------------------------- if (istrt .eq. 2 .and. iend .eq. imt-1) then call filuv (joff, js, je) else write (stdout,'(a)') & 'Error: filtering requires is=2 and ie=imt-1 in clinic' stop '=>clinic' endif # endif do j=js,je call setbcx (u(1,1,j,1,taup1), imt, km) call setbcx (u(1,1,j,2,taup1), imt, km) enddo # if defined O_ice_evp !----------------------------------------------------------------------- ! if needed, construct the Ice S.B.C.(surface boundary conditions) ! averaged over this segment !----------------------------------------------------------------------- call isbcu (joff, js, je, istrt, iend, igu, igv) call asbcu (joff, js, je, istrt, iend, isu, isv) # endif return end subroutine diagc1 (joff, js, je, is, ie, n) !----------------------------------------------------------------------- ! construct diagnostics which don`t require internal mode velocity ! at "tau+1" for each velocity component "n" ! input: ! joff = offset relating "j" in the MW to latitude "jrow" ! js = starting row in the MW ! je = ending row in the MW ! is = starting longitude index in the MW ! ie = ending longitude index in the MW ! n = (1,2) = (u,v) velocity component !----------------------------------------------------------------------- implicit none integer n, j, js, je, jrow, joff, k, i, is, ie real dudx, ce, dudy, cn, dudz, cb, fx, weight include "size.h" include "param.h" include "pconst.h" include "stdunits.h" include "coord.h" include "diag.h" include "diaga.h" include "grdvar.h" include "hmixc.h" include "mw.h" include "scalar.h" include "switch.h" real temp(imt,km) # if defined O_save_mixing_coeff !----------------------------------------------------------------------- ! diagnostic: estimate mixing coefficients on east, north, and ! bottom face of U cells from the flux !----------------------------------------------------------------------- if (cmixts .and. n .eq. 1 .and. eots) then do j=js,je jrow = j + joff do k=1,km do i=2,imt-1 dudx = (u(i+1,k,j,1,taum1)-u(i,k,j,1,taum1)) & *csur(jrow)*dxtr(i+1) + epsln ce(i,k,j,1) = diff_fe(i,k,j)/dudx # if !defined O_consthmix || defined O_biharmonic dudy = (u(i,k,j+1,1,taum1)-u(i,k,j,1,taum1)) & *dytr(jrow+1) + epsln cn(i,k,j,1) = cstr(jrow+1)*diff_fn(i,k,j)/dudy # else cn(i,k,j,1) = cstr(jrow+1)*am # endif enddo enddo enddo do j=js,je jrow = j + joff do k=1,km-1 do i=2,imt-1 dudz = (u(i,k,j,1,taum1)-u(i,k+1,j,1,taum1)) & *dzwr(k) + epsln cb(i,k,j,1) = diff_fb(i,k,j)/dudz enddo enddo do i=2,imt-1 cb(i,km,j,1) = 0.0 enddo enddo do j=js,je call setbcx (ce(1,1,j,1), imt, km) call setbcx (cn(1,1,j,1), imt, km) call setbcx (cb(1,1,j,1), imt, km) enddo endif # endif # if defined O_time_step_monitor !----------------------------------------------------------------------- ! diagnostic: accumulate global kinetic energy on "tau" velocity !----------------------------------------------------------------------- if (tsiperts .and. eots) then do j=js,je jrow = j + joff fx = rho0*p5*csu(jrow)*dyu(jrow) # if defined O_symmetry if (jrow .eq. jmtm1) fx = fx*p5 # endif do k=1,km do i=is,ie weight = fx*dzt(k)*dxu(i) temp(i,k) = u(i,k,j,n,tau)**2*weight enddo do i=is,ie ektot(k,jrow) = ektot(k,jrow) + temp(i,k) enddo enddo enddo endif # endif # if defined O_energy_analysis !----------------------------------------------------------------------- ! diagnostic: integrate work done by the r.h.s. terms in the ! momentum equations. !----------------------------------------------------------------------- if (glents .and. eots) call ge1 (joff, js, je, is, ie, n) # endif # if defined O_term_balances !----------------------------------------------------------------------- ! diagnostic: integrate r.h.s. terms in the momentum equations ! over specified regional volumes !----------------------------------------------------------------------- if (trmbts .and. eots) call utb1 (joff, js, je, is, ie, n) # endif # if defined O_xbts !----------------------------------------------------------------------- ! diagnostic: accumulate r.h.s terms in the momentum equation !----------------------------------------------------------------------- if (xbtperts .and. eots) call uxbt1 (joff, js, je, n) # endif return end subroutine diagc2 (joff, js, je, is, ie) !----------------------------------------------------------------------- ! construct diagnostics requiring internal mode velocity at "tau+1" ! and those not dependent on velocity component fluxes. ! input: ! joff = offset relating "j" in the MW to latitude "jrow" ! js = starting row in the MW ! je = ending row in the MW ! is = starting longitude index in the MW ! ie = ending longitude index in the MW !----------------------------------------------------------------------- implicit none integer joff, js, je, is, ie include "size.h" include "param.h" include "pconst.h" include "stdunits.h" include "levind.h" include "scalar.h" include "switch.h" # if defined O_energy_analysis !----------------------------------------------------------------------- ! diagnostic: integrate work done by du/dt in the momentum equations ! the external mode part of "u" at "tau+1" will be ! accounted for after the external mode is solved. ! also, integrate the work done by buoyancy. !----------------------------------------------------------------------- if (glents .and. eots) then call ge2 (joff, js, je, is, ie, kmt, kmu, c2dtuv, grav, rho0r) endif # endif # if defined O_term_balances !----------------------------------------------------------------------- ! diagnostic: add du/dt and implicit coriolis terms to the integrals ! over specified volumes. the external mode parts will ! be accounted for after the external mode is solved. !----------------------------------------------------------------------- if (trmbts .and. eots) then call utb2 (joff, js, je, is, ie, c2dtuv, acor) endif # endif # if defined O_xbts !----------------------------------------------------------------------- ! diagnostic: accumulate du/dt and implicit coriolis terms from the ! momentum equations !----------------------------------------------------------------------- if (xbtperts .and. eots) call uxbt2 (joff, js, je, c2dtuv, acor) # endif return end subroutine asbcu (joff, js, je, is, ie, iu, iv) !----------------------------------------------------------------------- ! construct the Atmos S.B.C.(surface boundary conditions) ! input: ! joff = offset relating "j" in the MW to latitude "jrow" ! js = starting row in the MW ! je = ending row in the MW ! is = starting longitude index in the MW ! ie = ending longitude index in the MW ! iu = index for u component ! iv = index for v component ! reference: Pacanowski, R.C., Effect of Equatorial Currents ! on Surface Stress (JPO, Vol 17, No. 6, June 1987) !----------------------------------------------------------------------- implicit none integer iu, iv, j, js, je, jrow, joff, i, is, ie real rts include "size.h" include "param.h" include "pconst.h" include "stdunits.h" include "csbc.h" include "levind.h" include "mw.h" include "scalar.h" include "switch.h" ! initialize S.B.C. at the beginning of each ocean segment ! (do not alter values in land) if (eots .and. osegs .and. iu .ne. 0 .and. iv .ne. 0) then do j=js,je jrow = j + joff do i=is,ie if (kmt(i,jrow) .ne. 0) then sbc(i,jrow,iu) = c0 sbc(i,jrow,iv) = c0 endif enddo enddo endif ! accumulate surface currents for the Atmos S.B.C. every time step if (eots .and. iu .ne. 0 .and. iv .ne. 0) then do j=js,je jrow = j + joff do i=is,ie sbc(i,jrow,iu) = sbc(i,jrow,iu) + p25*( & u(i,1,j,1,tau) + u(i-1,1,j,1,tau) & + u(i,1,j-1,1,tau) + u(i-1,1,j-1,1,tau)) sbc(i,jrow,iv) = sbc(i,jrow,iv) + p25*( & u(i,1,j,2,tau) + u(i-1,1,j,2,tau) & + u(i,1,j-1,2,tau) + u(i-1,1,j-1,2,tau)) enddo enddo endif ! average the surface currents for the Atmos S.B.C. at the end ! of each ocean segment. (do not alter values in land) if (eots .and. osege .and. iu .ne. 0 .and. iv .ne. 0) then rts = c1/ntspos do j=js,je jrow = j + joff do i=is,ie if (kmt(i,jrow) .ne. 0) then sbc(i,jrow,iu) = rts*sbc(i,jrow,iu) sbc(i,jrow,iv) = rts*sbc(i,jrow,iv) endif enddo enddo endif #endif return end #if defined O_mom && defined O_ice_evp subroutine isbcu (joff, js, je, is, ie, iu, iv) !----------------------------------------------------------------------- ! construct the Ice S.B.C.(surface boundary conditions) ! input: ! joff = offset relating "j" in the MW to latitude "jrow" ! js = starting row in the MW ! je = ending row in the MW ! is = starting longitude index in the MW ! ie = ending longitude index in the MW ! iu = index for u component ! iv = index for v component !----------------------------------------------------------------------- implicit none integer iu, iv, j, js, je, jrow, joff, i, is, ie real rts include "size.h" include "param.h" include "pconst.h" include "stdunits.h" include "csbc.h" include "levind.h" include "mw.h" include "scalar.h" include "switch.h" ! initialize S.B.C. at the beginning of each ocean segment ! (do not alter values in land) if (eots .and. osegs .and. iu .ne. 0 .and. iv .ne. 0) then do j=js,je jrow = j + joff do i=is,ie if (kmt(i,jrow) .ne. 0) then sbc(i,jrow,iu) = c0 sbc(i,jrow,iv) = c0 endif enddo enddo endif ! accumulate geostrophic currents (level 2) for the Ice S.B.C. ! every time step if (eots .and. iu .ne. 0 .and. iv .ne. 0) then do j=js,je jrow = j + joff do i=is,ie sbc(i,jrow,iu) = sbc(i,jrow,iu) + u(i,2,j,1,tau) sbc(i,jrow,iv) = sbc(i,jrow,iv) + u(i,2,j,2,tau) enddo enddo endif ! average the currents for the Ice S.B.C. at the end of each ocean ! segment. (do not alter values in land) if (eots .and. osege .and. iu .ne. 0 .and. iv .ne. 0) then rts = c1/ntspos do j=js,je jrow = j + joff do i=is,ie if (kmt(i,jrow) .ne. 0) then sbc(i,jrow,iu) = rts*sbc(i,jrow,iu) sbc(i,jrow,iv) = rts*sbc(i,jrow,iv) endif enddo enddo endif return end #endif #if defined O_implicitvmix subroutine ivdifu (joff, js, je, is, ie, n) !----------------------------------------------------------------------- ! solve vertical diffusion of velocity implicitly ! input: ! joff = offset relating "j" in the MW to latitude "jrow" ! js = starting row in the MW ! je = ending row in the MW ! is = starting longitude index in the MW ! ie = ending longitude index in the MW ! n = velocity component ! twodt = (2*dtuv, dtuv) on (leapfrog, mixing) time steps !----------------------------------------------------------------------- implicit none integer j, js, je, k, i, is, ie, n, joff real c1, up1, r2dtuv, vvca include "size.h" include "param.h" include "levind.h" include "mw.h" include "scalar.h" include "switch.h" include "vmixc.h" real twodt(km) ! set some constants c1 = 1.0 ! construct the "tau+1" velocity without implicit vertical diffusion do j=js,je do k=1,km do i=is,ie u(i,k,j,n,taup1) = u(i,k,j,n,taum1)+c2dtuv*u(i,k,j,n,taup1) enddo enddo enddo # if defined O_xbts || defined O_energy_analysis || defined O_term_balances ! store terms to compute implicit vertical diffusion on ! diagnostic time steps if ((xbtperts .or. glents .or. trmbts) .and. eots) then do j=js,je do k=1,km do i=is,ie zzi(i,k,j) = u(i,k,j,n,taup1) enddo enddo enddo endif # endif ! add in the implicit vertical diffusion do k=1,km twodt(k) = c2dtuv enddo call invtri (u(1,1,1,n,taup1), smf(1,1,n), bmf(1,1,n) &, visc_cbu(1,1,jsmw), twodt, kmu, umask(1,1,1), is, ie &, joff, js, je) r2dtuv = c1/c2dtuv # if defined O_xbts || defined O_energy_analysis || defined O_term_balances ! compute residual implicit vertical diffusion for diagnostics if ((xbtperts .or. glents .or. trmbts) .and. eots) then do j=js,je do k=1,km do i=is,ie zzi(i,k,j) = r2dtuv*(u(i,k,j,n,taup1) - zzi(i,k,j)) enddo enddo enddo endif # endif ! convert back to time change of velocity do j=js,je do k=1,km do i=is,ie u(i,k,j,n,taup1) =r2dtuv*(u(i,k,j,n,taup1)-u(i,k,j,n,taum1)) enddo enddo enddo return end #endif