subroutine tpindex(pw,tw,qvar,pref,tref,wrefvar,LCOEF,MT,MP, & NVAR,wratio) !================================================================== ! ! Purpose ! ------- ! Interpolate K-coefficients to the given P,T and Qvar values. ! ! Notes ! ----- ! The interpolation is the usual one in two dimensions given ! in "Numerical Recipes", where the "X" are P, the "Y" are ! T, and the F(X,Y) are the CO2 K-coefficients. ! ! The interpolating box is: ! ! (PL,TU) (PR,TU) ! ! (TW,PW) ! ! ! (PL,TL) (PR,TL) ! ! PL - Pressure left ! PR - Pressure right ! TL - Temperature lower ! TU - Temperature upper ! PW - Pressure wanted ! TW - Temperature wanted ! ! Inputs ! ------ ! PW - The pressure to interpolate to ! TW - The temperature to interpolate to ! Pref(NP) - The pressure grid array ! Tref(NT) - The temperature grid array ! ! Outputs ! ------- ! TI - Interpolation term (pressure) ! UI - Interpolation term (temperature) ! MT - Temperature index (bottom left temperature) ! of bounding box ! MP - Pressure index (bottom left pressure) ! of bounding box ! ! Authors ! ------- ! Adapted from the NASA Ames code by R. Wordsworth (2009) ! !================================================================== use radinc_h implicit none real*8 Tref(L_NTREF) real*8 pref(L_PINT) real*8 wrefvar(L_REFVAR) integer MT, MP, N, M, NP, NVAR real*8 PW, TW, Qvar, wratio real*8 PWL, LCOEF(4), T, U C======================================================================C ! Get the upper and lower temperature grid indicies that bound the ! requested temperature. If the requested temperature is outside ! the T-grid, set up to extrapolate from the appropriate end. ! TW : temperature to be interpolated ! TREF : grid array ! MT : index of TREF for bounding new temperature ! U : new index (real) for temperature interpolated IF(TW.LE.TREF(1)) THEN MT = 1 IF (TW.LT.TREF(1)) THEN write(*,*) 'tpindex: Caution! Temperature of upper levels lower $ than ref temperature for k-coef: k-coeff fixed for upper levels' write(*,*) " TW=",TW write(*,*) " TREF(1)=",TREF(1) ENDIF ELSE do n=1,L_NTREF-1 if(tw.gt.Tref(n) .and. TW.LE.TREF(N+1)) then MT = n goto 10 end if end do MT = L_NTREF-1 10 continue END IF !TB15 : case low temp : MT=1: fixed TW right above tref(1) IF (MT.eq.1) THEN TW=tref(1)*1.00 ! write(*,*) 'tpindex: Caution! Temperature of upper levels lower ! $than ref temperature for k-coef: k-coeff fixed for upper levels' ! write(*,*) " TW=",TW ! write(*,*) " TREF(1)=",TREF(1) ENDIF U = (TW-TREF(MT))/(TREF(MT+1)-TREF(MT)) ! Get the upper and lower pressure grid indicies that bound the ! requested pressure. If the requested pressure is outside ! the P-grid, set up to extrapolate from the appropriate end. pwl = log10(pw) do n=2,L_PINT-1 if(pwl.le.Pref(n)) then MP = n-1 goto 20 end if end do MP = L_PINT-1 20 continue !TB15 : case low pressure : n=2 : fixed pwl, right above pref(1) IF (MP.eq.1) THEN IF (PWL.LT.PREF(1)) THEN write(*,*) 'tpindex: Caution! Pressure of upper levels lower $than ref pressure for k-coef: k-coeff fixed for upper levels' write(*,*) " PWL=",PWL write(*,*) " PREF(1)=",PREF(1) ENDIF PWL=Pref(1)*1.00 ENDIF ! interpolated pressure T = (PWL-PREF(MP))/(PREF(MP+1)-PREF(MP)) ! Fill in the interpolation coefficients LCOEF(1) = (1.0-T)*(1.0-U) LCOEF(2) = T*(1.0-U) LCOEF(3) = T*U LCOEF(4) = (1.0-T)*U ! Get the indicies for abundance of the varying species. There are 10 sets of ! k-coefficients with differing amounts of variable vs. constant gas. IF(QVAR.le.WREFVAR(1)) then NVAR = 1 WRATIO = 0.0D0 ! put all the weight on the first point ELSEIF(QVAR.ge.WREFVAR(L_REFVAR)) then NVAR = L_REFVAR-1 ! TB16 in order to not oversize NVAr when doing !NVAR+1 WRATIO = 1.00D0 ! put all the weight on the last point ELSE DO N=2,L_REFVAR IF(QVAR.GE.WREFVAR(N-1) .and. QVAR.lt.WREFVAR(N)) then NVAR = N-1 WRATIO = (QVAR - WREFVAR(N-1))/(WREFVAR(N) - WREFVAR(N-1)) GOTO 30 END IF END DO END IF 30 CONTINUE return end