! This MODULE holds the routines that calculate air-sea exchange coefficients MODULE module_sf_exchcoef CONTAINS SUBROUTINE znot_m_v1(uref,znotm) IMPLICIT NONE ! uref(m/s) : Reference level wind ! znotm(meter): Roughness scale for momentum ! Author : Biju Thomas on 02/07/2014 ! REAL, INTENT(IN) :: uref REAL, INTENT(OUT):: znotm REAL :: bs0, bs1, bs2, bs3, bs4, bs5, bs6 REAL :: cf0, cf1, cf2, cf3, cf4, cf5, cf6 bs0 = -8.367276172397277e-12 bs1 = 1.7398510865876079e-09 bs2 = -1.331896578363359e-07 bs3 = 4.507055294438727e-06 bs4 = -6.508676881906914e-05 bs5 = 0.00044745137674732834 bs6 = -0.0010745704660847233 cf0 = 2.1151080765239772e-13 cf1 = -3.2260663894433345e-11 cf2 = -3.329705958751961e-10 cf3 = 1.7648562021709124e-07 cf4 = 7.107636825694182e-06 cf5 = -0.0013914681964973246 cf6 = 0.0406766967657759 IF ( uref .LE. 5.0 ) THEN znotm = (0.0185 / 9.8*(7.59e-4*uref**2+2.46e-2*uref)**2) ELSEIF (uref .GT. 5.0 .AND. uref .LT. 10.0) THEN znotm =.00000235*(uref**2 - 25 ) + 3.805129199617346e-05 ELSEIF ( uref .GE. 10.0 .AND. uref .LT. 60.0) THEN znotm = bs6 + bs5*uref + bs4*uref**2 + bs3*uref**3 + bs2*uref**4 + & bs1*uref**5 + bs0*uref**6 ELSE znotm = cf6 + cf5*uref + cf4*uref**2 + cf3*uref**3 + cf2*uref**4 + & cf1*uref**5 + cf0*uref**6 END IF END SUBROUTINE znot_m_v1 SUBROUTINE znot_m_v0(uref,znotm) IMPLICIT NONE ! uref(m/s) : Reference level wind ! znotm(meter): Roughness scale for momentum ! Author : Biju Thomas on 02/07/2014 REAL, INTENT(IN) :: uref REAL, INTENT(OUT):: znotm REAL :: yz, y1, y2, y3, y4 yz = 0.0001344 y1 = 3.015e-05 y2 = 1.517e-06 y3 = -3.567e-08 y4 = 2.046e-10 IF ( uref .LT. 12.5 ) THEN znotm = (0.0185 / 9.8*(7.59e-4*uref**2+2.46e-2*uref)**2) ELSE IF ( uref .GE. 12.5 .AND. uref .LT. 30.0 ) THEN znotm = (0.0739793 * uref -0.58)/1000.0 ELSE znotm = yz + uref*y1 + uref**2*y2 + uref**3*y3 + uref**4*y4 END IF END SUBROUTINE znot_m_v0 SUBROUTINE znot_t_v1(uref,znott) IMPLICIT NONE ! uref(m/s) : Reference level wind ! znott(meter): Roughness scale for temperature/moisture ! Author : Biju Thomas on 02/07/2014 REAL, INTENT(IN) :: uref REAL, INTENT(OUT):: znott REAL :: to0, to1, to2, to3 REAL :: tr0, tr1, tr2, tr3 REAL :: tn0, tn1, tn2, tn3, tn4, tn5 REAL :: ta0, ta1, ta2, ta3, ta4, ta5, ta6 REAL :: tt0, tt1, tt2, tt3, tt4, tt5, tt6, tt7 tr0 = 6.451939325286488e-08 tr1 = -7.306388137342143e-07 tr2 = -1.3709065148333262e-05 tr3 = 0.00019109962089098182 to0 = 1.4379320027061375e-08 to1 = -2.0674525898850674e-07 to2 = -6.8950970846611e-06 to3 = 0.00012199648268521026 tn0 = 1.4023940955902878e-10 tn1 = -1.4752557214976321e-08 tn2 = 5.90998487691812e-07 tn3 = -1.0920804077770066e-05 tn4 = 8.898205876940546e-05 tn5 = -0.00021123340439418298 tt0 = 1.92409564131838e-12 tt1 = -5.765467086754962e-10 tt2 = 7.276979099726975e-08 tt3 = -5.002261599293387e-06 tt4 = 0.00020220445539973736 tt5 = -0.0048088230565883 tt6 = 0.0623468551971189 tt7 = -0.34019193746967424 ta0 = -1.7787470700719361e-10 ta1 = 4.4691736529848764e-08 ta2 = -3.0261975348463414e-06 ta3 = -0.00011680322286017206 ta4 = 0.024449377821884846 ta5 = -1.1228628619105638 ta6 = 17.358026773905973 IF ( uref .LE. 7.0 ) THEN znott = (0.0185 / 9.8*(7.59e-4*uref**2+2.46e-2*uref)**2) ELSEIF ( uref .GE. 7.0 .AND. uref .LT. 12.5 ) THEN znott = tr3 + tr2*uref + tr1*uref**2 + tr0*uref**3 ELSEIF ( uref .GE. 12.5 .AND. uref .LT. 15.0 ) THEN znott = to3 + to2*uref + to1*uref**2 + to0*uref**3 ELSEIF ( uref .GE. 15.0 .AND. uref .LT. 30.0) THEN znott = tn5 + tn4*uref + tn3*uref**2 + tn2*uref**3 + tn1*uref**4 + & tn0*uref**5 ELSEIF ( uref .GE. 30.0 .AND. uref .LT. 60.0) THEN znott = tt7 + tt6*uref + tt5*uref**2 + tt4*uref**3 + tt3*uref**4 + & tt2*uref**5 + tt1*uref**6 + tt0*uref**7 ELSE znott = ta6 + ta5*uref + ta4*uref**2 + ta3*uref**3 + ta2*uref**4 + & ta1*uref**5 + ta0*uref**6 END IF END SUBROUTINE znot_t_v1 SUBROUTINE znot_t_v0(uref,znott) IMPLICIT NONE ! uref(m/s) : Reference level wind ! znott(meter): Roughness scale for temperature/moisture ! Author : Biju Thomas on 02/07/2014 REAL, INTENT(IN) :: uref REAL, INTENT(OUT):: znott IF ( uref .LT. 7.0 ) THEN znott = (0.0185 / 9.8*(7.59e-4*uref**2+2.46e-2*uref)**2) ELSE znott = (0.2375*exp(-0.5250*uref) + 0.0025*exp(-0.0211*uref))*0.01 END IF END SUBROUTINE znot_t_v0 SUBROUTINE znot_t_v2(uu,znott) IMPLICIT NONE ! uu in MKS ! znott in m ! Biju Thomas on 02/12/2015 ! REAL, INTENT(IN) :: uu REAL, INTENT(OUT):: znott REAL :: ta0, ta1, ta2, ta3, ta4, ta5, ta6 REAL :: tb0, tb1, tb2, tb3, tb4, tb5, tb6 REAL :: tt0, tt1, tt2, tt3, tt4, tt5, tt6 ta0 = 2.51715926619e-09 ta1 = -1.66917514012e-07 ta2 = 4.57345863551e-06 ta3 = -6.64883696932e-05 ta4 = 0.00054390175125 ta5 = -0.00239645231325 ta6 = 0.00453024927761 tb0 = -1.72935914649e-14 tb1 = 2.50587455802e-12 tb2 = -7.90109676541e-11 tb3 = -4.40976353607e-09 tb4 = 3.68968179733e-07 tb5 = -9.43728336756e-06 tb6 = 8.90731312383e-05 tt0 = 4.68042680888e-14 tt1 = -1.98125754931e-11 tt2 = 3.41357133496e-09 tt3 = -3.05130605309e-07 tt4 = 1.48243563819e-05 tt5 = -0.000367207751936 tt6 = 0.00357204479347 IF ( uu .LE. 7.0 ) THEN znott = (0.0185 / 9.8*(7.59e-4*uu**2+2.46e-2*uu)**2) ELSEIF ( uu .GE. 7.0 .AND. uu .LT. 15. ) THEN znott = ta6 + ta5*uu + ta4*uu**2 + ta3*uu**3 + ta2*uu**4 + & ta1*uu**5 + ta0*uu**6 ELSEIF ( uu .GE. 15.0 .AND. uu .LT. 60.0) THEN znott = tb6 + tb5*uu + tb4*uu**2 + tb3*uu**3 + tb2*uu**4 + & tb1*uu**5 + tb0*uu**6 ELSE znott = tt6 + tt5*uu + tt4*uu**2 + tt3*uu**3 + tt2*uu**4 + & tt1*uu**5 + tt0*uu**6 END IF END SUBROUTINE znot_t_v2 SUBROUTINE znot_m_v6(uref,znotm) IMPLICIT NONE ! Calculate areodynamical roughness over water with input 10-m wind ! For low-to-moderate winds, try to match the Cd-U10 relationship from COARE V3.5 (Edson et al. 2013) ! For high winds, try to fit available observational data ! ! Bin Liu, NOAA/NCEP/EMC 2017 ! ! uref(m/s) : wind speed at 10-m height ! znotm(meter): areodynamical roughness scale over water ! REAL, INTENT(IN) :: uref REAL, INTENT(OUT):: znotm REAL :: p13, p12, p11, p10 REAL :: p25, p24, p23, p22, p21, p20 REAL :: p35, p34, p33, p32, p31, p30 REAL :: p40 p13 = -1.296521881682694e-02 p12 = 2.855780863283819e-01 p11 = -1.597898515251717e+00 p10 = -8.396975715683501e+00 p25 = 3.790846746036765e-10 p24 = 3.281964357650687e-09 p23 = 1.962282433562894e-07 p22 = -1.240239171056262e-06 p21 = 1.739759082358234e-07 p20 = 2.147264020369413e-05 p35 = 1.840430200185075e-07 p34 = -2.793849676757154e-05 p33 = 1.735308193700643e-03 p32 = -6.139315534216305e-02 p31 = 1.255457892775006e+00 p30 = -1.663993561652530e+01 p40 = 4.579369142033410e-04 if (uref >= 0.0 .and. uref <= 6.5 ) then znotm = exp( p10 + p11*uref + p12*uref**2 + p13*uref**3) elseif (uref > 6.5 .and. uref <= 15.7) then znotm = p25*uref**5 + p24*uref**4 + p23*uref**3 + p22*uref**2 + p21*uref + p20 elseif (uref > 15.7 .and. uref <= 53.0) then znotm = exp( p35*uref**5 + p34*uref**4 + p33*uref**3 + p32*uref**2 + p31*uref + p30 ) elseif ( uref > 53.0) then znotm = p40 else print*, 'Wrong input uref value:',uref endif END SUBROUTINE znot_m_v6 SUBROUTINE znot_t_v6(uref,znott) IMPLICIT NONE ! Calculate scalar roughness over water with input 10-m wind ! For low-to-moderate winds, try to match the Ck-U10 relationship from COARE algorithm ! For high winds, try to retain the Ck-U10 relationship of FY2015 HWRF ! ! Bin Liu, NOAA/NCEP/EMC 2017 ! ! uref(m/s) : wind speed at 10-m height ! znott(meter): scalar roughness scale over water ! REAL, INTENT(IN) :: uref REAL, INTENT(OUT):: znott REAL :: p00 REAL :: p15, p14, p13, p12, p11, p10 REAL :: p25, p24, p23, p22, p21, p20 REAL :: p35, p34, p33, p32, p31, p30 REAL :: p45, p44, p43, p42, p41, p40 REAL :: p56, p55, p54, p53, p52, p51, p50 REAL :: p60 p00 = 1.100000000000000e-04 p15 = -9.144581627678278e-10 p14 = 7.020346616456421e-08 p13 = -2.155602086883837e-06 p12 = 3.333848806567684e-05 p11 = -2.628501274963990e-04 p10 = 8.634221567969181e-04 p25 = -8.654513012535990e-12 p24 = 1.232380050058077e-09 p23 = -6.837922749505057e-08 p22 = 1.871407733439947e-06 p21 = -2.552246987137160e-05 p20 = 1.428968311457630e-04 p35 = 3.207515102100162e-12 p34 = -2.945761895342535e-10 p33 = 8.788972147364181e-09 p32 = -3.814457439412957e-08 p31 = -2.448983648874671e-06 p30 = 3.436721779020359e-05 p45 = -3.530687797132211e-11 p44 = 3.939867958963747e-09 p43 = -1.227668406985956e-08 p42 = -1.367469811838390e-05 p41 = 5.988240863928883e-04 p40 = -7.746288511324971e-03 p56 = -1.187982453329086e-13 p55 = 4.801984186231693e-11 p54 = -8.049200462388188e-09 p53 = 7.169872601310186e-07 p52 = -3.581694433758150e-05 p51 = 9.503919224192534e-04 p50 = -1.036679430885215e-02 p60 = 4.751256171799112e-05 if (uref >= 0.0 .and. uref < 5.9 ) then znott = p00 elseif (uref >= 5.9 .and. uref <= 15.4) then znott = p15*uref**5 + p14*uref**4 + p13*uref**3 + p12*uref**2 + p11*uref + p10 elseif (uref > 15.4 .and. uref <= 21.6) then znott = p25*uref**5 + p24*uref**4 + p23*uref**3 + p22*uref**2 + p21*uref + p20 elseif (uref > 21.6 .and. uref <= 42.2) then znott = p35*uref**5 + p34*uref**4 + p33*uref**3 + p32*uref**2 + p31*uref + p30 elseif ( uref > 42.2 .and. uref <= 53.3) then znott = p45*uref**5 + p44*uref**4 + p43*uref**3 + p42*uref**2 + p41*uref + p40 elseif ( uref > 53.3 .and. uref <= 80.0) then znott = p56*uref**6 + p55*uref**5 + p54*uref**4 + p53*uref**3 + p52*uref**2 + p51*uref + p50 elseif ( uref > 80.0) then znott = p60 else print*, 'Wrong input uref value:',uref endif END SUBROUTINE znot_t_v6 SUBROUTINE znot_m_v7(uref,znotm) IMPLICIT NONE ! Calculate areodynamical roughness over water with input 10-m wind ! For low-to-moderate winds, try to match the Cd-U10 relationship from COARE V3.5 (Edson et al. 2013) ! For high winds, try to fit available observational data ! Comparing to znot_t_v6, slightly decrease Cd for higher wind speed ! ! Bin Liu, NOAA/NCEP/EMC 2018 ! ! uref(m/s) : wind speed at 10-m height ! znotm(meter): areodynamical roughness scale over water ! REAL, INTENT(IN) :: uref REAL, INTENT(OUT):: znotm REAL :: p13, p12, p11, p10 REAL :: p25, p24, p23, p22, p21, p20 REAL :: p35, p34, p33, p32, p31, p30 REAL :: p40 p13 = -1.296521881682694e-02 p12 = 2.855780863283819e-01 p11 = -1.597898515251717e+00 p10 = -8.396975715683501e+00 p25 = 3.790846746036765e-10 p24 = 3.281964357650687e-09 p23 = 1.962282433562894e-07 p22 = -1.240239171056262e-06 p21 = 1.739759082358234e-07 p20 = 2.147264020369413e-05 p35 = 1.897534489606422e-07 p34 = -3.019495980684978e-05 p33 = 1.931392924987349e-03 p32 = -6.797293095862357e-02 p31 = 1.346757797103756e+00 p30 = -1.707846930193362e+01 p40 = 3.371427455376717e-04 if (uref >= 0.0 .and. uref <= 6.5 ) then znotm = exp( p10 + p11*uref + p12*uref**2 + p13*uref**3) elseif (uref > 6.5 .and. uref <= 15.7) then znotm = p25*uref**5 + p24*uref**4 + p23*uref**3 + p22*uref**2 + p21*uref + p20 elseif (uref > 15.7 .and. uref <= 53.0) then znotm = exp( p35*uref**5 + p34*uref**4 + p33*uref**3 + p32*uref**2 + p31*uref + p30 ) elseif ( uref > 53.0) then znotm = p40 else print*, 'Wrong input uref value:',uref endif END SUBROUTINE znot_m_v7 SUBROUTINE znot_t_v7(uref,znott) IMPLICIT NONE ! Calculate scalar roughness over water with input 10-m wind ! For low-to-moderate winds, try to match the Ck-U10 relationship from COARE algorithm ! For high winds, try to retain the Ck-U10 relationship of FY2015 HWRF ! To be compatible with the slightly decreased Cd for higher wind speed ! ! Bin Liu, NOAA/NCEP/EMC 2018 ! ! uref(m/s) : wind speed at 10-m height ! znott(meter): scalar roughness scale over water ! REAL, INTENT(IN) :: uref REAL, INTENT(OUT):: znott REAL :: p00 REAL :: p15, p14, p13, p12, p11, p10 REAL :: p25, p24, p23, p22, p21, p20 REAL :: p35, p34, p33, p32, p31, p30 REAL :: p45, p44, p43, p42, p41, p40 REAL :: p56, p55, p54, p53, p52, p51, p50 REAL :: p60 p00 = 1.100000000000000e-04 p15 = -9.193764479895316e-10 p14 = 7.052217518653943e-08 p13 = -2.163419217747114e-06 p12 = 3.342963077911962e-05 p11 = -2.633566691328004e-04 p10 = 8.644979973037803e-04 p25 = -9.402722450219142e-12 p24 = 1.325396583616614e-09 p23 = -7.299148051141852e-08 p22 = 1.982901461144764e-06 p21 = -2.680293455916390e-05 p20 = 1.484341646128200e-04 p35 = 7.921446674311864e-12 p34 = -1.019028029546602e-09 p33 = 5.251986927351103e-08 p32 = -1.337841892062716e-06 p31 = 1.659454106237737e-05 p30 = -7.558911792344770e-05 p45 = -2.694370426850801e-10 p44 = 5.817362913967911e-08 p43 = -5.000813324746342e-06 p42 = 2.143803523428029e-04 p41 = -4.588070983722060e-03 p40 = 3.924356617245624e-02 p56 = -1.663918773476178e-13 p55 = 6.724854483077447e-11 p54 = -1.127030176632823e-08 p53 = 1.003683177025925e-06 p52 = -5.012618091180904e-05 p51 = 1.329762020689302e-03 p50 = -1.450062148367566e-02 p60 = 6.840803042788488e-05 if (uref >= 0.0 .and. uref < 5.9 ) then znott = p00 elseif (uref >= 5.9 .and. uref <= 15.4) then znott = p15*uref**5 + p14*uref**4 + p13*uref**3 + p12*uref**2 + p11*uref + p10 elseif (uref > 15.4 .and. uref <= 21.6) then znott = p25*uref**5 + p24*uref**4 + p23*uref**3 + p22*uref**2 + p21*uref + p20 elseif (uref > 21.6 .and. uref <= 42.6) then znott = p35*uref**5 + p34*uref**4 + p33*uref**3 + p32*uref**2 + p31*uref + p30 elseif ( uref > 42.6 .and. uref <= 53.0) then znott = p45*uref**5 + p44*uref**4 + p43*uref**3 + p42*uref**2 + p41*uref + p40 elseif ( uref > 53.0 .and. uref <= 80.0) then znott = p56*uref**6 + p55*uref**5 + p54*uref**4 + p53*uref**3 + p52*uref**2 + p51*uref + p50 elseif ( uref > 80.0) then znott = p60 else print*, 'Wrong input uref value:',uref endif END SUBROUTINE znot_t_v7 SUBROUTINE znot_m_v8(uref,znotm) IMPLICIT NONE ! Calculate areodynamical roughness over water with input 10-m wind ! For low-to-moderate winds, try to match the Cd-U10 relationship from COARE V3.5 (Edson et al. 2013) ! For high winds, try to fit available observational data ! Comparing to znot_t_v6, slightly decrease Cd for higher wind speed ! And this is another variation similar to v7 ! ! Bin Liu, NOAA/NCEP/EMC 2018 ! ! uref(m/s) : wind speed at 10-m height ! znotm(meter): areodynamical roughness scale over water ! REAL, INTENT(IN) :: uref REAL, INTENT(OUT):: znotm REAL :: p13, p12, p11, p10 REAL :: p25, p24, p23, p22, p21, p20 REAL :: p35, p34, p33, p32, p31, p30 REAL :: p40 p13 = -1.296521881682694e-02 p12 = 2.855780863283819e-01 p11 = -1.597898515251717e+00 p10 = -8.396975715683501e+00 p25 = 3.790846746036765e-10 p24 = 3.281964357650687e-09 p23 = 1.962282433562894e-07 p22 = -1.240239171056262e-06 p21 = 1.739759082358234e-07 p20 = 2.147264020369413e-05 p35 = 1.897534489606422e-07 p34 = -3.019495980684978e-05 p33 = 1.931392924987349e-03 p32 = -6.797293095862357e-02 p31 = 1.346757797103756e+00 p30 = -1.707846930193362e+01 p40 = 3.886804744928044e-04 if (uref >= 0.0 .and. uref <= 6.5 ) then znotm = exp( p10 + p11*uref + p12*uref**2 + p13*uref**3) elseif (uref > 6.5 .and. uref <= 15.7) then znotm = p25*uref**5 + p24*uref**4 + p23*uref**3 + p22*uref**2 + p21*uref + p20 elseif (uref > 15.7 .and. uref <= 51.5) then znotm = exp( p35*uref**5 + p34*uref**4 + p33*uref**3 + p32*uref**2 + p31*uref + p30 ) elseif ( uref > 51.5) then znotm = p40 else print*, 'Wrong input uref value:',uref endif END SUBROUTINE znot_m_v8 SUBROUTINE znot_t_v8(uref,znott) IMPLICIT NONE ! Calculate scalar roughness over water with input 10-m wind ! For low-to-moderate winds, try to match the Ck-U10 relationship from COARE algorithm ! For high winds, try to retain the Ck-U10 relationship of FY2015 HWRF ! To be compatible with the slightly decreased Cd for higher wind speed ! And this is another variation similar to v7 ! ! Bin Liu, NOAA/NCEP/EMC 2018 ! ! uref(m/s) : wind speed at 10-m height ! znott(meter): scalar roughness scale over water ! REAL, INTENT(IN) :: uref REAL, INTENT(OUT):: znott REAL :: p00 REAL :: p15, p14, p13, p12, p11, p10 REAL :: p25, p24, p23, p22, p21, p20 REAL :: p35, p34, p33, p32, p31, p30 REAL :: p45, p44, p43, p42, p41, p40 REAL :: p56, p55, p54, p53, p52, p51, p50 REAL :: p60 p00 = 1.100000000000000e-04 p15 = -9.193764479895316e-10 p14 = 7.052217518653943e-08 p13 = -2.163419217747114e-06 p12 = 3.342963077911962e-05 p11 = -2.633566691328004e-04 p10 = 8.644979973037803e-04 p25 = -9.402722450219142e-12 p24 = 1.325396583616614e-09 p23 = -7.299148051141852e-08 p22 = 1.982901461144764e-06 p21 = -2.680293455916390e-05 p20 = 1.484341646128200e-04 p35 = 7.921446674311864e-12 p34 = -1.019028029546602e-09 p33 = 5.251986927351103e-08 p32 = -1.337841892062716e-06 p31 = 1.659454106237737e-05 p30 = -7.558911792344770e-05 p45 = -2.706461188613193e-10 p44 = 5.845859022891930e-08 p43 = -5.027577045502003e-06 p42 = 2.156326523752734e-04 p41 = -4.617267288861201e-03 p40 = 3.951492707214883e-02 p56 = -1.112896580069263e-13 p55 = 4.450334755105140e-11 p54 = -7.375373918500171e-09 p53 = 6.493685149526543e-07 p52 = -3.206421106713471e-05 p51 = 8.407596231678149e-04 p50 = -9.027924333673693e-03 p60 = 5.791179079892191e-05 if (uref >= 0.0 .and. uref < 5.9 ) then znott = p00 elseif (uref >= 5.9 .and. uref <= 15.4) then znott = p15*uref**5 + p14*uref**4 + p13*uref**3 + p12*uref**2 + p11*uref + p10 elseif (uref > 15.4 .and. uref <= 21.6) then znott = p25*uref**5 + p24*uref**4 + p23*uref**3 + p22*uref**2 + p21*uref + p20 elseif (uref > 21.6 .and. uref <= 42.6) then znott = p35*uref**5 + p34*uref**4 + p33*uref**3 + p32*uref**2 + p31*uref + p30 elseif ( uref > 42.6 .and. uref <= 51.5) then znott = p45*uref**5 + p44*uref**4 + p43*uref**3 + p42*uref**2 + p41*uref + p40 elseif ( uref > 51.5 .and. uref <= 80.0) then znott = p56*uref**6 + p55*uref**5 + p54*uref**4 + p53*uref**3 + p52*uref**2 + p51*uref + p50 elseif ( uref > 80.0) then znott = p60 else print*, 'Wrong input uref value:',uref endif END SUBROUTINE znot_t_v8 SUBROUTINE znot_wind10m(w10m,znott,znotm,icoef_sf) IMPLICIT NONE ! w10m(m/s) : 10-m wind speed ! znott(meter): Roughness scale for temperature/moisture, zt ! znotm(meter): Roughness scale for momentum, z0 ! Author : Weiguo Wang on 02/24/2016 ! convert from icoef=0,1,2 to have 10m level cd, ch match obs REAL, INTENT(IN) :: w10m INTEGER, INTENT(IN) :: icoef_sf REAL, INTENT(OUT):: znott, znotm real :: zm,zt,windmks, zlev,z10, tmp, zlevt, aaa, zm1,zt1 zlev=20.0 zlevt=10.0 z10=10.0 windmks=w10m if (windmks > 85.0) windmks=85.0 if (windmks < 1.0) windmks=1.0 if ( icoef_sf .EQ. 1) then call znot_m_v1(windmks,zm1) call znot_t_v1(windmks,zt1) else if ( icoef_sf .EQ. 0 ) then call znot_m_v0(windmks,zm1) call znot_t_v0(windmks,zt1) else if( icoef_sf .EQ. 2 ) then call znot_m_v1(windmks,zm1) call znot_t_v2(windmks,zt1) else if( icoef_sf .EQ. 3 ) then call znot_m_v1(windmks,zm) call znot_t_v2(windmks,zt) !! adjust a little to match obs at 10m, cd is reduced tmp=0.4*0.4/(alog(zlev/zm))**2 ! cd at zlev zm1=z10/exp( sqrt(0.4*0.4/(tmp*0.95-0.0002)) ) !ch tmp=0.4*0.4/(alog(zlevt/zm)*alog(zlevt/zt)) ! ch at zlev using old formula zt1=z10/exp( 0.4*0.4/( 0.95*tmp*alog(z10/zm1) ) ) else if( icoef_sf .EQ. 4 ) then call znot_m_v1(windmks,zm) call znot_t_v2(windmks,zt) !! for wind<20, cd similar to icoef=2 at 10m, then reduced tmp=0.4*0.4/(alog(10.0/zm))**2 ! cd at zlev aaa=0.75 if (windmks < 20) then aaa=0.99 elseif(windmks < 45.0) then aaa=0.99+(windmks-20)*(0.75-0.99)/(45.0-20.0) endif zm1=z10/exp( sqrt(0.4*0.4/(tmp*aaa)) ) !ch tmp=0.4*0.4/(alog(zlevt/zm)*alog(zlevt/zt)) ! ch at zlev using old formula zt1=z10/exp( 0.4*0.4/( 0.95*tmp*alog(z10/zm1) ) ) else if( icoef_sf .EQ. 5 ) then call znot_m_v1(windmks,zm) call znot_t_v2(windmks,zt) !! for wind<20, cd similar to icoef=2 at 10m, then reduced tmp=0.4*0.4/(alog(10.0/zm))**2 ! cd at zlev aaa=0.80 if (windmks < 20) then aaa=1.0 elseif(windmks < 45.0) then aaa=1.0+(windmks-20)*(0.80-1.0)/(45.0-20.0) endif zm1=z10/exp( sqrt(0.4*0.4/(tmp*aaa)) ) !ch tmp=0.4*0.4/(alog(zlevt/zm)*alog(zlevt/zt)) ! ch at zlev using old formula zt1=z10/exp( 0.4*0.4/( 1.0*tmp*alog(z10/zm1) ) ) else if( icoef_sf .EQ. 6 ) then call znot_m_v6(windmks,zm1) call znot_t_v6(windmks,zt1) else if( icoef_sf .EQ. 7 ) then call znot_m_v7(windmks,zm1) call znot_t_v7(windmks,zt1) else if( icoef_sf .EQ. 8 ) then call znot_m_v8(windmks,zm1) call znot_t_v8(windmks,zt1) else CALL wrf_error_fatal('icoef_sf must be one of 0,1,2,3,4,5,6,7,8') endif znott=zt1 znotm=zm1 end subroutine znot_wind10m END MODULE module_sf_exchcoef