| 1 |  |  | module bulk_flux_m | 
    
    | 2 |  |  |  | 
    
    | 3 |  |  |   implicit none | 
    
    | 4 |  |  |  | 
    
    | 5 |  |  | contains | 
    
    | 6 |  |  |  | 
    
    | 7 |  |  |   subroutine bulk_flux(tkt, tks, taur, dter, dser, t_int, s_int, ds_ns, dt_ns, & | 
    
    | 8 |  |  |        u, t_ocean_1, s1, rain, hf, hlb, rnl, tau, rhoa, xlv, rf, dtime, rns) | 
    
    | 9 |  |  |  | 
    
    | 10 |  |  |     use config_ocean_skin_m, only: jwarm, jcool, rain_effect | 
    
    | 11 |  |  |     use Microlayer_m, only: Microlayer | 
    
    | 12 |  |  |     use mom_flux_rain_m, only: mom_flux_rain | 
    
    | 13 |  |  |     use Near_Surface_m, only: Near_Surface, depth | 
    
    | 14 |  |  |     use therm_expans_m, only: therm_expans | 
    
    | 15 |  |  |  | 
    
    | 16 |  |  |     real, intent(out):: tkt(:) | 
    
    | 17 |  |  |     ! thickness of cool skin (microlayer), in m | 
    
    | 18 |  |  |  | 
    
    | 19 |  |  |     real, intent(out):: tks(:) | 
    
    | 20 |  |  |     ! thickness of mass diffusion layer (microlayer), in m | 
    
    | 21 |  |  |  | 
    
    | 22 |  |  |     real, intent(out):: taur(:) ! momentum flux due to rain, in Pa | 
    
    | 23 |  |  |  | 
    
    | 24 |  |  |     real, intent(out):: dter(:) | 
    
    | 25 |  |  |     ! Temperature variation in the diffusive microlayer, that is | 
    
    | 26 |  |  |     ! ocean-air interface temperature minus subskin temperature. In K. | 
    
    | 27 |  |  |  | 
    
    | 28 |  |  |     real, intent(out):: dser(:) | 
    
    | 29 |  |  |     ! Salinity variation in the diffusive microlayer, that is ocean-air | 
    
    | 30 |  |  |     ! interface salinity minus subskin salinity. In ppt. | 
    
    | 31 |  |  |  | 
    
    | 32 |  |  |     real, intent(out):: t_int(:) ! interface temperature, in K | 
    
    | 33 |  |  |     real, intent(out):: s_int(:) ! interface salinity, in ppt | 
    
    | 34 |  |  |  | 
    
    | 35 |  |  |     real, intent(inout):: ds_ns(:) | 
    
    | 36 |  |  |     ! "delta salinity near surface". Salinity variation in the | 
    
    | 37 |  |  |     ! near-surface turbulent layer. That is subskin salinity minus | 
    
    | 38 |  |  |     ! foundation salinity. In ppt. | 
    
    | 39 |  |  |  | 
    
    | 40 |  |  |     real, intent(inout):: dt_ns(:) | 
    
    | 41 |  |  |     ! "delta temperature near surface". Temperature variation in the | 
    
    | 42 |  |  |     ! near-surface turbulent layer. That is subskin temperature minus | 
    
    | 43 |  |  |     ! foundation temperature. (Can be negative.) In K. | 
    
    | 44 |  |  |  | 
    
    | 45 |  |  |     real, intent(in):: u(:) | 
    
    | 46 |  |  |     ! Wind speed relative to the sea surface, i. e. taking current | 
    
    | 47 |  |  |     ! vector into account. In m s-1. | 
    
    | 48 |  |  |  | 
    
    | 49 |  |  |     real, intent(in):: t_ocean_1(:) ! input sea temperature, at depth_1, in K | 
    
    | 50 |  |  |     real, intent(in):: S1(:) ! salinity at depth_1, in ppt | 
    
    | 51 |  |  |  | 
    
    | 52 |  |  |     real, intent(in):: rain(:) | 
    
    | 53 |  |  |     ! rain mass flux, averaged on a timestep, in kg m-2 s-1 | 
    
    | 54 |  |  |  | 
    
    | 55 |  |  |     real, intent(in):: hf(:) | 
    
    | 56 |  |  |     !  turbulent part of sensible heat flux, positive upward, in W m-2 | 
    
    | 57 |  |  |  | 
    
    | 58 |  |  |     real, intent(in):: hlb(:) | 
    
    | 59 |  |  |     ! latent heat flux at the surface, positive upward (W m-2) | 
    
    | 60 |  |  |  | 
    
    | 61 |  |  |     real, intent(in):: rnl(:) | 
    
    | 62 |  |  |     ! net longwave radiation, positive upward, in W m-2 | 
    
    | 63 |  |  |  | 
    
    | 64 |  |  |     real, intent(in):: tau(:) | 
    
    | 65 |  |  |     ! wind stress at the surface, turbulent part only, in Pa | 
    
    | 66 |  |  |  | 
    
    | 67 |  |  |     real, intent(in):: rhoa(:) ! density of moist air  (kg / m3) | 
    
    | 68 |  |  |     real, intent(in):: xlv(:) ! latent heat of evaporation (J / kg) | 
    
    | 69 |  |  |  | 
    
    | 70 |  |  |     real, intent(in):: rf(:) | 
    
    | 71 |  |  |     ! sensible heat flux at the surface due to rainfall, in W m-2, | 
    
    | 72 |  |  |     ! positive upward | 
    
    | 73 |  |  |  | 
    
    | 74 |  |  |     real, intent(in):: dtime ! time step, in s | 
    
    | 75 |  |  |     real, intent(in):: rns(:) ! net downward shortwave radiation, in W m-2 | 
    
    | 76 |  |  |  | 
    
    | 77 |  |  |     ! Local: | 
    
    | 78 |  |  |  | 
    
    | 79 |  |  |     real al(size(t_ocean_1)) ! water thermal expansion coefficient (in K-1) | 
    
    | 80 |  |  |     real dels(size(t_ocean_1)), null_array(size(t_ocean_1)) | 
    
    | 81 |  |  |     integer iter | 
    
    | 82 |  |  |     real t_subskin(size(t_ocean_1)) ! subskin temperature, in K | 
    
    | 83 |  |  |     real s_subskin(size(t_ocean_1)) ! subskin salinity, in ppt | 
    
    | 84 |  |  |  | 
    
    | 85 |  |  |     real, parameter:: fxp = 1. - (0.28 * 0.014 & | 
    
    | 86 |  |  |          + 0.27 * 0.357 * (1. - exp(- depth / 0.357)) & | 
    
    | 87 |  |  |          + .45 * 12.82 * (1.- exp(- depth / 12.82))) / depth | 
    
    | 88 |  |  |     ! underflow ! fxp = 1. - (0.28 * 0.014 * (1. - exp(- depth / 0.014)) & | 
    
    | 89 |  |  |     ! Soloviev solar absorption profile | 
    
    | 90 |  |  |     ! H. Bellenger 2016 | 
    
    | 91 |  |  |  | 
    
    | 92 |  |  |     real tau_with_min(size(t_ocean_1)) | 
    
    | 93 |  |  |     ! modified wind stress, avoiding very low values | 
    
    | 94 |  |  |  | 
    
    | 95 |  |  |     real, parameter:: tau_0 = 1e-3 ! in N m-2 | 
    
    | 96 |  |  |  | 
    
    | 97 |  |  |     !------------------------------------------------------------------- | 
    
    | 98 |  |  |  | 
    
    | 99 |  |  |     if (rain_effect) then | 
    
    | 100 |  |  |        taur = mom_flux_rain(u, rain) | 
    
    | 101 |  |  |     else | 
    
    | 102 |  |  |        if (jwarm .or. jcool) null_array = 0. | 
    
    | 103 |  |  |        taur = 0. | 
    
    | 104 |  |  |     end if | 
    
    | 105 |  |  |  | 
    
    | 106 |  |  |     if (jwarm .or. jcool) tau_with_min = tau + tau_0 * (1. - exp(- tau_0 / tau)) | 
    
    | 107 |  |  |  | 
    
    | 108 |  |  |     if (Jwarm) then | 
    
    | 109 |  |  |        if (rain_effect) then | 
    
    | 110 |  |  |           call Near_Surface(al, t_subskin, s_subskin, ds_ns, dt_ns, & | 
    
    | 111 |  |  |                tau_with_min, taur, hlb, rhoa, xlv, dtime, t_ocean_1, s1, rain, & | 
    
    | 112 |  |  |                q_pwp = fxp * rns - (hf + hlb + rnl + rf)) | 
    
    | 113 |  |  |        else | 
    
    | 114 |  |  |           call Near_Surface(al, t_subskin, s_subskin, ds_ns, dt_ns, & | 
    
    | 115 |  |  |                tau_with_min, taur, hlb, rhoa, xlv, dtime, t_ocean_1, s1, & | 
    
    | 116 |  |  |                rain = null_array, q_pwp = fxp * rns - (hf + hlb + rnl)) | 
    
    | 117 |  |  |        end if | 
    
    | 118 |  |  |     else | 
    
    | 119 |  |  |        if (Jcool) al = therm_expans(t_ocean_1) | 
    
    | 120 |  |  |        t_subskin = t_ocean_1 | 
    
    | 121 |  |  |        s_subskin = s1 | 
    
    | 122 |  |  |     end if | 
    
    | 123 |  |  |  | 
    
    | 124 |  |  |     if (Jcool) then | 
    
    | 125 |  |  |        ! First guess: | 
    
    | 126 |  |  |        tkt = 0.001 | 
    
    | 127 |  |  |        tks = 5e-4 | 
    
    | 128 |  |  |  | 
    
    | 129 |  |  |        do iter = 1, 3 | 
    
    | 130 |  |  |           ! Cool skin | 
    
    | 131 |  |  |           dels = rns * (0.065 + 11. * tkt - 6.6e-5 / tkt & | 
    
    | 132 |  |  |                * (1. - exp(- tkt / 8e-4))) ! equation 16 Ohlmann | 
    
    | 133 |  |  |           if (rain_effect) then | 
    
    | 134 |  |  |              call Microlayer(dter, dser, tkt, tks, hlb, tau_with_min, & | 
    
    | 135 |  |  |                   s_subskin, al, xlv, taur, rf, rain, & | 
    
    | 136 |  |  |                   qcol = rnl + hf + hlb - dels) | 
    
    | 137 |  |  |           else | 
    
    | 138 |  |  |              call Microlayer(dter, dser, tkt, tks, hlb, tau_with_min, & | 
    
    | 139 |  |  |                   s_subskin, al, xlv, taur, rf = null_array, & | 
    
    | 140 |  |  |                   rain = null_array, qcol = rnl + hf + hlb - dels) | 
    
    | 141 |  |  |           end if | 
    
    | 142 |  |  |        end do | 
    
    | 143 |  |  |     else | 
    
    | 144 |  |  |        tkt = 0. | 
    
    | 145 |  |  |        tks = 0. | 
    
    | 146 |  |  |        dter = 0. | 
    
    | 147 |  |  |        dser = 0. | 
    
    | 148 |  |  |     end if | 
    
    | 149 |  |  |  | 
    
    | 150 |  |  |     t_int = t_subskin + dter | 
    
    | 151 |  |  |     s_int = s_subskin + dser | 
    
    | 152 |  |  |  | 
    
    | 153 |  |  |   end subroutine bulk_flux | 
    
    | 154 |  |  |  | 
    
    | 155 |  |  | end module bulk_flux_m |