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Evgeny Mortikov
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module sfx_log
!> @brief simple log-roughness surface flux module
! modules used
! --------------------------------------------------------------------------------
#ifdef SFX_CHECK_NAN
use sfx_common
#endif
use sfx_data
use sfx_roughness
use sfx_log_param
! --------------------------------------------------------------------------------
! directives list
! --------------------------------------------------------------------------------
implicit none
private
! --------------------------------------------------------------------------------
! public interface
! --------------------------------------------------------------------------------
public :: get_surface_fluxes
public :: get_surface_fluxes_vec
! --------------------------------------------------------------------------------
! --------------------------------------------------------------------------------
type, public :: numericsType
integer :: maxiters_charnock = 10 !> maximum (actual) number of iterations in charnock roughness
end type
! --------------------------------------------------------------------------------
contains
! --------------------------------------------------------------------------------
subroutine get_surface_fluxes_vec(sfx, meteo, numerics, n)
!> @brief surface flux calculation for array data
!> @details contains C/C++ & CUDA interface
! ----------------------------------------------------------------------------
type (sfxDataVecType), intent(inout) :: sfx
type (meteoDataVecType), intent(in) :: meteo
type (numericsType), intent(in) :: numerics
integer, intent(in) :: n
! ----------------------------------------------------------------------------
! --- local variables
type (meteoDataType) meteo_cell
type (sfxDataType) sfx_cell
integer i
! ----------------------------------------------------------------------------
do i = 1, n
meteo_cell = meteoDataType(&
h = meteo%h(i), &
U = meteo%U(i), dT = meteo%dT(i), Tsemi = meteo%Tsemi(i), dQ = meteo%dQ(i), &
z0_m = meteo%z0_m(i))
call get_surface_fluxes(sfx_cell, meteo_cell, numerics)
call push_sfx_data(sfx, sfx_cell, i)
end do
end subroutine get_surface_fluxes_vec
! --------------------------------------------------------------------------------
! --------------------------------------------------------------------------------
subroutine get_surface_fluxes(sfx, meteo, numerics)
!> @brief surface flux calculation for single cell
!> @details contains C/C++ interface
! ----------------------------------------------------------------------------
#ifdef SFX_CHECK_NAN
use ieee_arithmetic
#endif
type (sfxDataType), intent(out) :: sfx
type (meteoDataType), intent(in) :: meteo
type (numericsType), intent(in) :: numerics
! ----------------------------------------------------------------------------
! --- meteo derived datatype name shadowing
! ----------------------------------------------------------------------------
real :: h !> constant flux layer height [m]
real :: U !> abs(wind speed) at 'h' [m/s]
real :: dT !> difference between potential temperature at 'h' and at surface [K]
real :: Tsemi !> semi-sum of potential temperature at 'h' and at surface [K]
real :: dQ !> difference between humidity at 'h' and at surface [g/g]
real :: z0_m !> surface aerodynamic roughness (should be < 0 for water bodies surface)
! ----------------------------------------------------------------------------
! --- local variables
! ----------------------------------------------------------------------------
real z0_t !> thermal roughness [m]
real B !> = ln(z0_m / z0_t) [n/d]
real h0_m, h0_t !> = h / z0_m, h / z0_h [n/d]
real u_dyn0 !> dynamic velocity in neutral conditions [m/s]
real Re !> roughness Reynolds number = u_dyn0 * z0_m / nu [n/d]
real zeta !> = z/L [n/d]
real Rib !> bulk Richardson number
real psi_m, psi_h !> universal functions (momentum) & (heat) [n/d]
real phi_m, phi_h !> stability functions (momentum) & (heat) [n/d]
real Km !> eddy viscosity coeff. at h [m^2/s]
real Pr_t_inv !> invese Prandt number [n/d]
real Cm, Ct !> transfer coeff. for (momentum) & (heat) [n/d]
integer surface_type !> surface type = (ocean || land)
#ifdef SFX_CHECK_NAN
real NaN
#endif
! ----------------------------------------------------------------------------
#ifdef SFX_CHECK_NAN
! --- checking if arguments are finite
if (.not.(is_finite(meteo%U).and.is_finite(meteo%Tsemi).and.is_finite(meteo%dT).and.is_finite(meteo%dQ) &
.and.is_finite(meteo%z0_m).and.is_finite(meteo%h))) then
NaN = ieee_value(0.0, ieee_quiet_nan) ! setting NaN
sfx = sfxDataType(zeta = NaN, Rib = NaN, &
Re = NaN, B = NaN, z0_m = NaN, z0_t = NaN, &
Rib_conv_lim = NaN, &
Cm = NaN, Ct = NaN, Km = NaN, Pr_t_inv = NaN)
return
end if
#endif
! --- shadowing names for clarity
U = meteo%U
Tsemi = meteo%Tsemi
dT = meteo%dT
dQ = meteo%dQ
h = meteo%h
z0_m = meteo%z0_m
! --- define surface type
if (z0_m < 0.0) then
surface_type = surface_ocean
else
surface_type = surface_land
end if
if (surface_type == surface_ocean) then
! --- define surface roughness [momentum] & dynamic velocity in neutral conditions
call get_charnock_roughness(z0_m, u_dyn0, U, h, numerics%maxiters_charnock)
! --- define relative height
h0_m = h / z0_m
endif
if (surface_type == surface_land) then
! --- define relative height
h0_m = h / z0_m
! --- define dynamic velocity in neutral conditions
u_dyn0 = U * kappa / log(h0_m)
end if
! --- define B = log(z0_m / z0_h)
Re = u_dyn0 * z0_m / nu_air
if(Re <= Re_rough_min) then
B = B1_rough * alog(B3_rough * Re) + B2_rough
else
! *: B4 takes into account Re value at z' ~ O(10) z0
B = B4_rough * (Re**B2_rough)
end if
! --- apply max restriction based on surface type
if (surface_type == surface_ocean) then
B = min(B, B_max_ocean)
endif
if (surface_type == surface_land) then
B = min(B, B_max_land)
end if
! --- define roughness [thermal]
z0_t = z0_m / exp(B)
! --- define relative height [thermal]
h0_t = h / z0_t
! --- define Ri-bulk
Rib = (g / Tsemi) * h * (dT + 0.61e0 * Tsemi * dQ) / U**2
! --- get the fluxes
! ----------------------------------------------------------------------------
call get_psi_neutral(psi_m, psi_h, zeta, h0_m, h0_t, B)
! ----------------------------------------------------------------------------
Evgeny Mortikov
committed
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phi_m = 1.0
phi_h = 1.0 / Pr_t_0_inv
! --- define transfer coeff. (momentum) & (heat)
Cm = kappa / psi_m
Ct = kappa / psi_h
! --- define eddy viscosity & inverse Prandtl number
Km = kappa * Cm * U * h / phi_m
Pr_t_inv = phi_m / phi_h
! --- setting output
sfx = sfxDataType(zeta = zeta, Rib = Rib, &
Re = Re, B = B, z0_m = z0_m, z0_t = z0_t, &
Rib_conv_lim = 0.0, &
Cm = Cm, Ct = Ct, Km = Km, Pr_t_inv = Pr_t_inv)
end subroutine get_surface_fluxes
! --------------------------------------------------------------------------------
! universal functions
! --------------------------------------------------------------------------------
subroutine get_psi_neutral(psi_m, psi_h, zeta, h0_m, h0_t, B)
!> @brief universal functions (momentum) & (heat): neutral case
! ----------------------------------------------------------------------------
real, intent(out) :: psi_m, psi_h !> universal functions
real, intent(out) :: zeta !> = z/L
real, intent(in) :: h0_m, h0_t !> = z/z0_m, z/z0_h
real, intent(in) :: B !> = log(z0_m / z0_h)
! ----------------------------------------------------------------------------
zeta = 0.0
psi_m = log(h0_m)
psi_h = log(h0_t) / Pr_t_0_inv
if (abs(B) < 1.0e-10) psi_h = psi_m / Pr_t_0_inv
end subroutine
! --------------------------------------------------------------------------------
end module sfx_log