subroutine add_awind (is, ie, js, je) #if defined O_embm && defined O_embm_awind !======================================================================= ! update winds !======================================================================= implicit none integer i, ie, is, j, je, js real angle, ax, ay, contr, cosa, drag, f, s, sina, x, y include "size.h" include "param.h" include "pconst.h" include "stdunits.h" include "coord.h" include "grdvar.h" include "scalar.h" include "atm.h" include "cembm.h" include "csbc.h" ! calculate advecting wind anomaly contr = 0.4 ! (0.8x0.5) contraction x reduction factor angle = 10.0/radian ! half turning angle (from Gill 1982 p.328) cosa = cos(angle) sina = sin(angle) do j=js+1,je do i=is+1,ie sina = sign(sina, ulat(i,j)) ! damping term for the poles f = 1. - (1. - cos(ulat(i,j)/radian))**5. x = (awx(i,j)*cosa - awy(i,j)*sina)*f y = (awx(i,j)*sina + awy(i,j)*cosa)*f sbc(i,j,iwxq) = sbc(i,j,iwxq) + contr*x sbc(i,j,iwyq) = sbc(i,j,iwyq) + contr*y enddo enddo call embmbc (sbc(1,1,iwxq)) call embmbc (sbc(1,1,iwyq)) drag = cdatm*rhoatm contr = 0.8 ! contraction angle = 20.0/radian ! turning angle (from Gill 1982 p.328) cosa = cos(angle) sina = sin(angle) do j=js+1,je do i=is+1,ie sina = sign(sina, ulat(i,j)) x = awx(i,j)*cosa - awy(i,j)*sina y = awx(i,j)*sina + awy(i,j)*cosa ! add surface anomaly to wind stress f = c1/drag/(sqrt(sqrt(sbc(i,j,itaux)**2 & + sbc(i,j,itauy)**2)/drag) + epsln) x = contr*x + f*sbc(i,j,itaux) y = contr*y + f*sbc(i,j,itauy) s = sqrt(x**2 + y**2) sbc(i,j,itaux) = drag*x*s sbc(i,j,itauy) = drag*y*s ! add surface anomaly to wind speed ax = p25*(awx(i,j) + awx(i-1,j) + awx(i,j-1) + awx(i-1,j-1)) ay = p25*(awy(i,j) + awy(i-1,j) + awy(i,j-1) + awy(i-1,j-1)) x = contr*(ax*cosa - ay*sina) + cos(sbc(i,j,iwa))*sbc(i,j,iws) y = contr*(ax*sina + ay*cosa) + sin(sbc(i,j,iwa))*sbc(i,j,iws) sbc(i,j,iws) = sqrt(x**2 + y**2) enddo enddo call embmbc (sbc(1,1,itaux)) call embmbc (sbc(1,1,itauy)) call embmbc (sbc(1,1,iws)) return end subroutine calc_awind (is, ie, js, je) !======================================================================= ! calculate anomalous pressure and geostrophic wind !======================================================================= implicit none integer i, ie, is, j, je, js, n real b, rd, s, tclm, tmdl, tmp, adpdx, adpdy, const, diag0, diag1 real dlat, rlat, slat, rnot, C2K include "size.h" include "param.h" include "pconst.h" include "stdunits.h" include "coord.h" include "grdvar.h" include "scalar.h" include "cembm.h" include "atm.h" real dmsk(imt,jmt) !----------------------------------------------------------------------- ! calculate sea level pressure (slp) from temperature. use the ! equation of state for an ideal gas, P=rho*R*T, and assume a linear ! relationship between density and temperature rho = s*T + b, where ! s in g/cm3/K and b in g/cm3 are derived from NCEP and ECMWF data. ! for the pressure anomaly use dP = R*(s*d(T**2) + b*dT) !----------------------------------------------------------------------- rd = 287.0e4 ! ideal gas constant in cm^2/K/s^2 s = -4.67e-6 ! slope of rho, T_c relationship in g/cm3/K b = 2.58e-3 ! intercept of rho, T_c relationship in g/cm3 rnot = c1/3600.0 ! time scale for equatorial damping dlat = 22.5 ! latitude for equatorial damping slat = 30. ! latitude for slope roll off C2K = 273.15 ! convert C to K const = 180./(90.-slat)/radian do j=js,je do i=is,ie s = -4.67e-6 ! roll off the slope at high latitudes (more in the south) if (tlat(i,j) .lt. -slat) then s = s + 1.8e-6*(cos((tlat(i,j) + slat)*const)*0.5 - 0.5) elseif (tlat(i,j) .gt. slat) then s = s + 0.9e-6*(cos((tlat(i,j) - slat)*const)*0.5 - 0.5) endif tmdl = rtbar(i,j) + C2K tclm = tbar(i,j) + C2K apress(i,j) = rd*(s*(tmdl**2 - tclm**2) + b*(tmdl - tclm)) enddo enddo ! normalise pressure anomaly for output dmsk(:,:) = 1. call areaavg (apress, dmsk, tmp) apress(:,:) = apress(:,:) - tmp call embmbc (apress) do j=js,je-1 do i=is,ie-1 diag1 = apress(i+1,j+1) - apress(i,j) diag0 = apress(i,j+1) - apress(i+1,j) adpdy = (diag1 + diag0)*dyu2r(j) adpdx = (diag1 - diag0)*dxu2r(i)*cstr(j) rlat = rnot*exp(-abs(ulat(i,j)/dlat)) const = c1/(rhoatm*(rlat**2 + fcor(i,j)**2)) awy(i,j) = const*(fcor(i,j)*adpdx - rlat*adpdy) awx(i,j) = -const*(rlat*adpdx + fcor(i,j)*adpdy) enddo enddo call embmbc (awx) call embmbc (awy) #endif return end