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subroutine da_sigma_v_tl(ifreq,p0,wv,hwv,ta,gamma,sigma_v, & 1,2
TGL_p0,TGL_wv,TGL_hwv,TGL_ta,TGL_gamma,TGL_sigma_v)
!---------------------------------------------------------------------------
! Purpose : TBD
! Input : TGL_p0, TGL_wv, TGL_hwv, TGL_ta, TGL_gamma
! Output : TGL_sigma_v
! Output base field : sigma_v
!---------------------------------------------------------------------------
implicit none
integer, intent(in) :: ifreq
real, intent(in ):: p0,wv,hwv,ta,gamma ! base field
real, intent(in ):: TGL_p0,TGL_wv,TGL_hwv,TGL_ta,TGL_gamma
real, intent(out ):: TGL_sigma_v,sigma_v
real wvc, wvcor(4)
real TGL_wvc
real voh1,otbar1,pbar1
real term21,term31,term41,term51,term61
real a11,a21,a31,a41,a51,a61
real TGL_voh1,TGL_otbar1,TGL_pbar1
real TGL_term21,TGL_term31,TGL_term41,TGL_term51,TGL_term61
real voh2,otbar2,pbar2
real term22,term32,term42,term52,term62
real a12,a22,a32,a42,a52,a62
real TGL_voh2,TGL_otbar2,TGL_pbar2
real TGL_term22,TGL_term32,TGL_term42,TGL_term52,TGL_term62
real voh3,otbar3,pbar3
real term23,term33,term43,term53,term63
real a13,a23,a33,a43,a53,a63
real TGL_voh3,TGL_otbar3,TGL_pbar3
real TGL_term23,TGL_term33,TGL_term43,TGL_term53,TGL_term63
real voh4,otbar4,pbar4
real term24,term34,term44,term54,term64
real a14,a24,a34,a44,a54,a64
real TGL_voh4,TGL_otbar4,TGL_pbar4
real TGL_term24,TGL_term34,TGL_term44,TGL_term54,TGL_term64
real const1,const2,const3,const4
real h1,h2,h3,h4
real sigv, TGL_sigv
data const1,const2,const3,const4/0.6,2.8,0.2,0.2/
data h1,h2,h3,h4/5.0,4.9,6.8,6.4/
data a11,a21,a31,a41,a51,a61/-.13747e-2,-.43061e-4, .14618e+1, &
.25101e-3, .14635e-1,-.18588e+3/
data a12,a22,a32,a42,a52,a62/ .22176e-1,-.32367e-4,-.10840e-4, &
-.63578e-1, .16988e-7,-.29824e+2/
data a13,a23,a33,a43,a53,a63/-.10566e-2,-.12906e-3, .56975e+0, &
.10828e-8,-.17551e-7, .48601e-1/
data a14,a24,a34,a44,a54,a64/-.60808e-2,-.70936e-3, .28721e+1, &
.42636e-8,-.82910e-7, .26166e+0/
! data wvcor/1.01,0.95,1.06,0.92/
data wvcor/1.02,0.98,1.02,0.88/
if (trace_use) call da_trace_entry
("da_sigma_v_tl")
! use modified water vapor value to correct for errors in theoretical absorption
wvc = wv*wvcor(ifreq)
TGL_wvc = TGL_wv*wvcor(ifreq)
if (ifreq==1) then
pbar1 = p0/(1.0 + hwv/h1)
TGL_pbar1 = TGL_p0/(1.0 + hwv/h1)-pbar1*TGL_hwv/(h1*(1.0 + hwv/h1))
voh1 = wv/hwv
TGL_voh1 = TGL_wv/hwv-voh1*TGL_hwv/hwv
term21 = a21*voh1
TGL_term21 = a21*TGL_voh1
otbar1 = 1.0/(ta - const1*gamma*hwv)
TGL_otbar1 = -otbar1*otbar1*(TGL_ta-const1*gamma*TGL_hwv - const1*TGL_gamma*hwv)
term31 = a31*otbar1
TGL_term31 = a31*TGL_otbar1
term61 = a61*otbar1*otbar1
TGL_term61 = 2.0*a61*otbar1*TGL_otbar1
term41 = a41*pbar1*otbar1
TGL_term41 = a41*(TGL_pbar1*otbar1+pbar1*TGL_otbar1)
term51 = a51*voh1*otbar1
TGL_term51 = a51*(TGL_voh1*otbar1+voh1*TGL_otbar1)
sigv = a11 + term21 + term31 + term41 + term51 + term61
TGL_sigv = TGL_term21+TGL_term31+TGL_term41+TGL_term51+TGL_term61
else if (ifreq==2) then
pbar2 = p0/(1.0 + hwv/h2)
TGL_pbar2 = TGL_p0/(1.0 + hwv/h2)-pbar2*TGL_hwv/h2/(1.0 + hwv/h2)
term22 = a22*pbar2
TGL_term22 = a22*TGL_pbar2
term52 = a52*pbar2*pbar2
TGL_term52 = 2.0*a52*pbar2*TGL_pbar2
voh2 = wv/hwv
TGL_voh2 = TGL_wv/hwv-voh2*TGL_hwv/hwv
term32 = a32*voh2
TGL_term32 = a32*TGL_voh2
otbar2 = 1.0/(ta - const2*gamma*hwv)
TGL_otbar2 = -otbar2*otbar2*(TGL_ta-const2*gamma*TGL_hwv &
-const2*TGL_gamma*hwv)
term42 = a42*otbar2
TGL_term42 = a42*TGL_otbar2
term62 = a62*otbar2*otbar2
TGL_term62 = 2.0*a62*otbar2*TGL_otbar2
sigv = a12 + term22 + term32 + term42 + term52 + term62
TGL_sigv = TGL_term22 + TGL_term32 + TGL_term42 + TGL_term52 + TGL_term62
else if (ifreq == 3) then
pbar3 = p0/(1.0 + hwv/h3)
TGL_pbar3 = TGL_p0/(1.0 + hwv/h3)-pbar3*TGL_hwv/h3/(1.0 + hwv/h3)
term43 = a43*pbar3*pbar3
TGL_term43 = 2.0*a43*pbar3*TGL_pbar3
voh3 = wv/hwv
TGL_voh3 = TGL_wv/hwv-voh3*TGL_hwv/hwv
term23 = a23*voh3
TGL_term23 = a23*TGL_voh3
otbar3 = 1.0/(ta - const3*gamma*hwv)
TGL_otbar3 = -otbar3*otbar3*(TGL_ta-const3*gamma*TGL_hwv &
-const3*TGL_gamma*hwv)
term33 = a33*otbar3
TGL_term33 = a33*TGL_otbar3
term53 = a53*pbar3*voh3
TGL_term53 = a53*(TGL_pbar3*voh3+pbar3*TGL_voh3)
term63 = a63*otbar3*voh3
TGL_term63 = a63*(TGL_otbar3*voh3+otbar3*TGL_voh3)
sigv = a13 + term23 + term33 + term43 + term53 + term63
TGL_sigv = TGL_term23 + TGL_term33 + TGL_term43 + TGL_term53 + TGL_term63
else if (ifreq == 4) then
pbar4 = p0/(1.0 + hwv/h4)
TGL_pbar4 = TGL_p0/(1.0 + hwv/h4)-pbar4*TGL_hwv/h4/(1.0 + hwv/h4)
term44 = a44*pbar4*pbar4
TGL_term44 = 2.0*a44*pbar4*TGL_pbar4
voh4 = wv/hwv
TGL_voh4 = TGL_wv/hwv-voh4*TGL_hwv/hwv
term24 = a24*voh4
TGL_term24 = a24*TGL_voh4
otbar4 = 1.0/(ta - const4*gamma*hwv)
TGL_otbar4 = -otbar4*otbar4*(TGL_ta-const4*gamma*TGL_hwv -const4*TGL_gamma*hwv)
term34 = a34*otbar4
TGL_term34 = a34*TGL_otbar4
term54 = a54*pbar4*voh4
TGL_term54 = a54*(TGL_pbar4*voh4+pbar4*TGL_voh4)
term64 = a64*otbar4*voh4
TGL_term64 = a64*(TGL_otbar4*voh4+otbar4*TGL_voh4)
sigv = a14 + term24 + term34 + term44 + term54 + term64
TGL_sigv = TGL_term24 + TGL_term34 + TGL_term44 + TGL_term54 + TGL_term64
else
sigv = 0.0
TGL_sigv = 0.0
end if
sigma_v = sigv*wvc
TGL_sigma_v = TGL_sigv*wvc+sigv*TGL_wvc
if (trace_use) call da_trace_exit
("da_sigma_v_tl")
end subroutine da_sigma_v_tl