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update to exact integration scheme for radiative cooling #585

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Aug 19, 2024
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update to exact integration scheme for radiative cooling #585

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15 changes: 14 additions & 1 deletion src/main/cooling_solver.f90
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Original file line number Diff line number Diff line change
Expand Up @@ -266,13 +266,26 @@ subroutine exact_cooling(ui, dudt, rho, dt, mu, gamma, Tdust, K2, kappa)
!argument of Y^(-1) in eq 26
dy = -Qref*dt*T_on_u/Tref
y = y + dy
!find new k for eq A7 (not necessarily the same as k for eq A5)
do while(y>yk .AND. k>1)
k = k-1
call calc_cooling_rate(Q, dlnQ_dlnT, rho, Tgrid(k), Tdust, mu, gamma, K2, kappa)
dlnQ_dlnT = log(Qi/Q)/log(Tgrid(k+1)/Tgrid(k))
Qi = Q
! eqs A6 to get Yk
if (abs(dlnQ_dlnT-1.) < tol) then
yk = yk - Qref*Tgrid(k)/(Q*Tref)*log(Tgrid(k)/Tgrid(k+1))
else
yk = yk - Qref*Tgrid(k)/(Q*Tref*(1.-dlnQ_dlnT))*(1.-(Tgrid(k)/Tgrid(k+1))**(dlnQ_dlnT-1.))
endif
enddo
!compute Yinv (eqs A7)
if (abs(dlnQ_dlnT-1.) < tol) then
Temp = max(Tgrid(k)*exp(-Q*Tref*(y-yk)/(Qref*Tgrid(k))),T_floor)
else
Yinv = 1.-(1.-dlnQ_dlnT)*Q*Tref/(Qref*Tgrid(k))*(y-yk)
if (Yinv > 0.) then
Temp = Tgrid(k)*(Yinv**(1./(1.-dlnQ_dlnT)))
Temp = max(Tgrid(k)*(Yinv**(1./(1.-dlnQ_dlnT))),T_floor)
else
Temp = T_floor
endif
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