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!ORILAM_LIC Copyright 1994-2014 CNRS, Meteo-France and Universite Paul Sabatier
!ORILAM_LIC This is part of the ORILAM software governed by the CeCILL-C licence
!ORILAM_LIC version 1. See LICENSE, CeCILL-C_V1-en.txt and CeCILL-C_V1-fr.txt
!ORILAM_LIC for details.
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!-----------------------------------------------------------------
!--------------- special set of characters for RCS information
!-----------------------------------------------------------------
! $Source$ $Revision$ $Date$
!-----------------------------------------------------------------
!-----------------------------------------------------------------
!! #######################
MODULE MODI_CH_AER_SOLV
!! #######################
!!
INTERFACE
!!
SUBROUTINE CH_AER_SOLV(PM, PSIG0, PRG0, PN0,PCTOTG, PCTOTA, PCCTOT, &
PDMINTRA,PDMINTER,PDMCOND, PSEDA,PDT,&
POM, PRV, PDENAIR, PPRESSURE, PTEMP, PRC, PTIME,PSOLORG)
IMPLICIT NONE
REAL, DIMENSION(:,:), INTENT(INOUT) :: PM
REAL, DIMENSION(:,:), INTENT(INOUT) :: POM
REAL, DIMENSION(:,:), INTENT(INOUT) :: PSEDA
REAL, DIMENSION(:,:), INTENT(INOUT) :: PDMINTRA
REAL, DIMENSION(:,:), INTENT(INOUT) :: PDMINTER
REAL, DIMENSION(:,:), INTENT(INOUT) :: PDMCOND
REAL, DIMENSION(:,:), INTENT(INOUT) :: PSIG0, PRG0, PN0
REAL, DIMENSION(:,:), INTENT(INOUT) :: PCTOTG
REAL, DIMENSION(:,:,:), INTENT(INOUT) :: PCTOTA, PCCTOT
REAL, DIMENSION(:,:), INTENT(INOUT) :: PSOLORG
REAL, INTENT(IN) :: PDT, PTIME
REAL, DIMENSION(:), INTENT(IN) :: PRV, PDENAIR, PPRESSURE, PTEMP, PRC
END SUBROUTINE CH_AER_SOLV
!!
END INTERFACE
!!
END MODULE MODI_CH_AER_SOLV
!!
!! ##############################################################################
SUBROUTINE CH_AER_SOLV(PM, PSIG0, PRG0, PN0,PCTOTG, PCTOTA, PCCTOT, &
PDMINTRA,PDMINTER,PDMCOND,PSEDA, PDT, POM, &
PRV, PDENAIR, PPRESSURE, PTEMP, PRC, PTIME,PSOLORG)
!! ##############################################################################
!!
!! PURPOSE
!! -------
!! Time variable solver of the modal aerosol equations
!!
!! REFERENCE
!! ---------
!! none
!!
!! AUTHOR
!! ------
!! Vincent Crassier (LA)
!!
!! MODIFICATIONS
!! -------------
!! P. Tulet for nesting
!! P. Tulet organic condensation
!! P. Tulet thermodynamic equilibrium for each mode
!! P. Tulet add third mode
!!
!! EXTERNAL
!! --------
!! None
!-------------------------------------------------------------------------------
!
!* 0. DECLARATIONS
! ------------
!
USE MODD_CH_AEROSOL
USE MODD_CST, ONLY : XMNH_TINY
USE MODI_CH_AER_MINERAL
USE MODI_CH_AER_ORGANIC
USE MODI_CH_AER_MPMPO
!
!
IMPLICIT NONE
!
!* 0.1 declarations of arguments
!
REAL, DIMENSION(:,:), INTENT(INOUT) :: PM
REAL, DIMENSION(:,:), INTENT(INOUT) :: POM
REAL, DIMENSION(:,:), INTENT(INOUT) :: PSEDA
REAL, DIMENSION(:,:), INTENT(INOUT) :: PDMINTRA
REAL, DIMENSION(:,:), INTENT(INOUT) :: PDMINTER
REAL, DIMENSION(:,:), INTENT(INOUT) :: PDMCOND
REAL, DIMENSION(:,:), INTENT(INOUT) :: PSIG0, PRG0, PN0
REAL, DIMENSION(:,:), INTENT(INOUT) :: PCTOTG
REAL, DIMENSION(:,:,:), INTENT(INOUT) :: PCTOTA, PCCTOT
REAL, INTENT(IN) :: PDT, PTIME
REAL, DIMENSION(:), INTENT(IN) :: PRV, PDENAIR, PPRESSURE, PTEMP, PRC
REAL, DIMENSION(:,:), INTENT(INOUT) :: PSOLORG
!
!* 0.2 declarations of local variables
!
INTEGER :: JI,JJ,JK, JN, IDT
REAL, DIMENSION(SIZE(PM,1)) :: ZSUM
REAL, DIMENSION(SIZE(PM,1),JPMODE) :: ZNEWM, ZMASK
REAL, DIMENSION(SIZE(PM,1)) :: ZSIGMA
REAL, DIMENSION(SIZE(POM,1),SIZE(POM,2)) :: ZOM
REAL, DIMENSION(SIZE(PM,1)) :: ZA,ZB,ZC,ZD
REAL, DIMENSION(SIZE(PM,1)) :: ZCONST1,ZCONST2
REAL, DIMENSION(SIZE(PM,1)) :: Z0,ZK,ZKEXP
REAL, SAVE, DIMENSION(JPMODE*3) :: ZPMIN
REAL, SAVE, DIMENSION(JPMODE) :: ZRATIOBC, ZRATIOOC
REAL :: ZINIRADIUSI, ZINIRADIUSJ
REAL, SAVE, DIMENSION(JPMODE) :: ZRGMIN, ZRGMAX
LOGICAL, SAVE :: GPHYSLIM = .TRUE. ! flag
!
!-------------------------------------------------------------------------------
!
!
IF (CRGUNIT=="MASS") THEN
ZINIRADIUSI = XINIRADIUSI * EXP(-3.*(LOG(XINISIGI))**2)
ZINIRADIUSJ = XINIRADIUSJ * EXP(-3.*(LOG(XINISIGJ))**2)
ELSE
ZINIRADIUSI = XINIRADIUSI
ZINIRADIUSJ = XINIRADIUSJ
END IF
!
ZPMIN(1) = XN0IMIN
ZPMIN(2) = ZPMIN(1) * (ZINIRADIUSI**3)*EXP(4.5 * LOG(XSIGIMIN)**2)
ZPMIN(3) = ZPMIN(1) * (ZINIRADIUSI**6)*EXP(18. * LOG(XSIGIMIN)**2)
!
ZPMIN(4) = XN0JMIN
ZPMIN(5) = ZPMIN(4) * (ZINIRADIUSJ**3)*EXP(4.5 * LOG(XSIGJMIN)**2)
ZPMIN(6) = ZPMIN(4) * (ZINIRADIUSJ**6)*EXP(18. * LOG(XSIGJMIN)**2)
!
! Moments index
NM0(1) = 1
NM3(1) = 2
NM6(1) = 3
NM0(2) = 4
NM3(2) = 5
NM6(2) = 6
!
!write(*,*)
!write(*,*) '******************************************'
!write(*,*) ' Debut Solveur Aerosol '
!write(*,*) '******************************************'
!write(*,*)
!write(*,*) 'Pas de temps:',PDT,'s'
!*****************************************************************
!*****************************************************************
! SOLVEUR DE lA PARTIE MICROPHYSIQUE
!*****************************************************************
!*****************************************************************
!
DO JI=1,JPMODE
!*************************************************************
! Resolution du moment d'ordre 0: pour cela il faut resoudre
! une equation differentielle du type dY/dt=-AY^2-BY+C
!*************************************************************
! Pour la resolution plusieurs cas particuliers seront traites
ZA(:)=0.
ZB(:)=0.
ZC(:)=0.
ZA(:)=PDMINTRA(:,NM0(JI))
!ZB(:)=PDMINTER(:,NM0(JI))
ZC(:)=PDMCOND(:,NM0(JI))
DO JK=1,SIZE(PM,1)
IF (ZB(JK) == 0. .AND. ZC(JK)/PM(JK,NM0(JI)) <= 1.e-10) THEN
Z0(JK)=PM(JK,NM0(JI))
PM(JK,NM0(JI))=Z0(JK)/(1.+ZA(JK)*Z0(JK)*PDT)
ELSE
ZD(JK)=SQRT(ZB(JK)**2+4.*ZA(JK)*ZC(JK))
ZCONST1(JK)=ZB(JK)/(2.*ZA(JK))
ZCONST2(JK)=ZD(JK)/(2.*ABS(ZA(JK)))
Z0(JK)=PM(JK,NM0(JI))+ZCONST1(JK)
IF (((ZB(JK)**2+4.*ZA(JK)*ZC(JK))) < 0.) THEN
PM(JK,NM0(JI))=-ZCONST1(JK)+ZD(JK)*TAN(ATAN(Z0(JK)/ZD(JK))-ZA(JK)*ZD(JK)*PDT)
ELSE
ZKEXP(JK)=EXP(-2.*ZA(JK)*ZCONST2(JK)*PDT)
ZK(JK)=(Z0(JK)-ZCONST2(JK))/(Z0(JK)+ZCONST2(JK))*ZKEXP(JK)
PM(JK,NM0(JI))=-ZCONST1(JK)+ZCONST2(JK)*(1.+ZK(JK))/(1.-ZK(JK))
ENDIF
ENDIF
ENDDO
! Sedimentation for particules number
PM(:,NM0(JI))= PM(:,NM0(JI)) + PSEDA(:,NM0(JI)) * PDT
PM(:,NM0(JI))= MAX(PM(:,NM0(JI)), XMNH_TINY )
!*************************************************************
! Resolution du moment d'ordre 3
!*************************************************************
PM(:,NM3(JI))=PM(:,NM3(JI))+ &
(PDMINTRA(:,NM3(JI))+PDMINTER(:,NM3(JI))+PDMCOND(:,NM3(JI))+&
PSEDA(:,NM3(JI)))*PDT
PM(:,NM3(JI))= MAX(PM(:,NM3(JI)), XMNH_TINY)
!*************************************************************
! Resolution du moment d'ordre 6
!*************************************************************
PM(:,NM6(JI))=PM(:,NM6(JI))+ (PM(:,NM0(JI))**2*PDMINTRA(:,NM6(JI))+&
PDMINTER(:,NM6(JI))+PDMCOND(:,NM6(JI)) + PSEDA(:,NM6(JI)) )*PDT
PM(:,NM6(JI))= MAX(PM(:,NM6(JI)), XMNH_TINY)
ENDDO
!*****************************************************************
!*****************************************************************
! SOLVEUR DE L'EQUILIBRE CHIMIQUE (MARS sera utilise)
!*****************************************************************
!*****************************************************************
!******************************************************************
! Calcul de la variation de concentration des differents
! composes pour trouver le nouveau moment d'ordre 3
!******************************************************************
DO JI=1,JPMODE
! Coagulation intermodale
!-------------------------
DO JJ=1,NSP+NCARB+NSOA
PCTOTA(:,JJ,JI)=PCTOTA(:,JJ,JI) &
+(PCCTOT(:,JJ,1)*PDMINTER(:,NM3(JI)) + PCCTOT(:,JJ,JI)* PDMINTRA(:,NM3(JI))) &
*XFAC(JJ)*PDT
! Sedimentation
!--------------
PCTOTA(:,JJ,JI)= PCTOTA(:,JJ,JI) + PCCTOT(:,JJ,JI)*PSEDA(:,NM3(JI))*XFAC(JJ)*PDT
PCTOTA(:,JJ,JI)= MAX(PCTOTA(:,JJ,JI), XMNH_TINY)
ENDDO
ENDDO
! H2SO4 Condensation + Nucleation
!---------------------------------
PCTOTA(:,JP_AER_SO4,1)=PCTOTA(:,JP_AER_SO4,1) &
+PDMCOND(:,NM3(1))*XFAC(JP_AER_SO4)*PDT
PCTOTA(:,JP_AER_SO4,2)=PCTOTA(:,JP_AER_SO4,2) &
+PDMCOND(:,NM3(2))*XFAC(JP_AER_SO4)*PDT
!
!*************************************************************
! Calcul de la fraction massique entre les modes
!*************************************************************
ZSUM (:) = 0.
DO JI=1,JPMODE
DO JJ=1,NSP+NCARB+NSOA
ZSUM (:) = ZSUM (:) + PCTOTA(:,JJ,JI)
ENDDO
ENDDO
ZOM(:,:) = 0.
DO JI=1,JPMODE
DO JJ=1,NSP+NCARB+NSOA
ZOM(:,JI) = ZOM(:,JI) + PCTOTA(:,JJ,JI) / ZSUM (:)
ENDDO
ENDDO
! Equilibre mineraux
!-------------------
IDT = INT(MAX(5.*PDT,1.))
IF ((PDT .GT. 0.).AND.( MOD(INT(PTIME) , IDT) .EQ. 0)) THEN
!IF (PDT .GT. 0.) THEN
CALL CH_AER_MINERAL(PCTOTG, PCTOTA,PRV, PDENAIR, PPRESSURE, PTEMP, PRC, ZOM,&
PCCTOT,PSIG0, PRG0, PDT)
! Equilibre Organiques
!---------------------
IF (NSOA .EQ. 10) CALL CH_AER_ORGANIC(PCTOTG, PCTOTA,PRV, PDENAIR, &
PPRESSURE, PTEMP,&
PRC, ZOM, PCCTOT,PSIG0, PRG0, PDT, PSOLORG)
END IF
! Mass need to be positive
PCTOTA(:,:,:)= MAX (PCTOTA(:,:,:),0.)
PCTOTG(:,:)= MAX (PCTOTG(:,:),0.)
DO JI=1,JPMODE
ZSUM(:)=0.
DO JJ=1,NSP+NCARB+NSOA
ZSUM(:)=ZSUM(:)+PCTOTA(:,JJ,JI)/XRHOI(JJ)
ENDDO
DO JJ=1,NSP+NCARB+NSOA
PCCTOT(:,JJ,JI)=PCTOTA(:,JJ,JI)/XRHOI(JJ)/ZSUM(:)
ENDDO
ENDDO
!******************************************************************************
! Calcul des nouveaux moments d'ordre 3 et 6
! Le moment d'ordre 3 est recalcule a partir de la composition de chaque mode
! Le moment d'ordre 6 est calcule pour garder sigma constant pendant l'equilibre chimique
!******************************************************************************
DO JN=1,JPMODE
!
IF (JN .EQ. 1) THEN
IF (LVARSIGI) THEN ! variable dispersion for mode 1
ZSIGMA(:)=PM(:,NM3(JN))**2./(PM(:,NM0(JN))*PM(:,NM6(JN)))
ZSIGMA(:)=MIN(1-1E-10,ZSIGMA(:))
ZSIGMA(:)=MAX(1E-10,ZSIGMA(:))
ZSIGMA(:)= LOG(ZSIGMA(:))
ZSIGMA(:)= EXP(1./3.*SQRT(-ZSIGMA(:)))
WHERE (ZSIGMA(:) > XSIGIMAX)
ZSIGMA(:) = XSIGIMAX
END WHERE
WHERE (ZSIGMA(:) < XSIGIMIN)
ZSIGMA(:) = XSIGIMIN
END WHERE
ELSE ! fixed dispersion for mode 1
ZSIGMA(:) = XINISIGI
END IF
END IF
!
IF (JN .EQ. 2) THEN
IF (LVARSIGJ) THEN ! variable dispersion for mode 2
ZSIGMA(:)=PM(:,NM3(JN))**2./(PM(:,NM0(JN))*PM(:,NM6(JN)))
ZSIGMA(:)=MIN(1-1E-10,ZSIGMA(:))
ZSIGMA(:)=MAX(1E-10,ZSIGMA(:))
ZSIGMA(:)= LOG(ZSIGMA(:))
ZSIGMA(:)= EXP(1./3.*SQRT(-ZSIGMA(:)))
WHERE (ZSIGMA(:) > XSIGJMAX)
ZSIGMA(:) = XSIGJMAX
END WHERE
WHERE (ZSIGMA(:) < XSIGJMIN)
ZSIGMA(:) = XSIGJMIN
END WHERE
ELSE ! fixed dispersion for mode 2
ZSIGMA(:) = XINISIGJ
END IF
END IF
PSIG0(:,JN) = LOG(ZSIGMA(:))
PN0(:,JN) = PM(:,NM0(JN))
END DO
DO JN=1,JPMODE
! Calcul du nouveau moment d'ordre 3
ZNEWM(:,JN)=0.
DO JJ=1,NSP+NCARB+NSOA
PCTOTA(:,JJ,JN) = MAX(PCTOTA(:,JJ,JN),0.)
ZNEWM(:,JN)=ZNEWM(:,JN)+PCTOTA(:,JJ,JN)/XFAC(JJ)
ENDDO
PM(:,NM3(JN))=ZNEWM(:,JN)
END DO
DO JN=1,JPMODE
PM(:,NM6(JN)) = PM(:,NM0(JN)) &
* ( (PM(:,NM3(JN))/PM(:,NM0(JN)))**(1./3.) * exp(-(3./2.)*PSIG0(:,JN)**2))**6 &
* exp(18.*PSIG0(:,JN)**2)
PRG0(:,JN)= (PM(:,NM3(JN))**4/(PM(:,NM6(JN)) * PM(:,NM0(JN))**3))**(1./6.)
ENDDO
!*************************************************************
! Blindages pour valeurs inferieurs au mininmum accepte
!*************************************************************
! ratio selon ch_aer_reallfin.f90 ((modifiable)
ZRATIOBC(1) = 5.84E-3 / (5.84E-3+2.336E-2)
ZRATIOOC(1) = 2.336E-2 / (5.84E-3+2.336E-2)
ZRATIOBC(2) = 1.46E-3 / (1.46E-3+5.84E-3)
ZRATIOOC(2) = 5.84E-3 / (1.46E-3+5.84E-3)
ZRGMIN(1) = ZINIRADIUSI / XCOEFRADIMIN
ZRGMIN(2) = ZINIRADIUSJ / XCOEFRADJMIN
ZRGMAX(1) = XCOEFRADIMAX * ZINIRADIUSI
ZRGMAX(2) = XCOEFRADJMAX * ZINIRADIUSJ
DO JN=1,JPMODE
ZMASK(:,JN) = 1.
WHERE ((PM(:,NM0(JN)) .LT. ZPMIN(NM0(JN))).OR.&
(PM(:,NM3(JN)) .LT. ZPMIN(NM3(JN))).OR.&
(PM(:,NM6(JN)) .LT. ZPMIN(NM6(JN))))
! (PM(:,NM6(JN)) .LE. ZPMIN(NM6(JN))).OR.&
! (PRG0(:,JN)) .LE. ZRGMIN(JN).OR.&
! (PRG0(:,JN)) .GT. ZRGMAX(JN))
PM(:,NM0(JN)) = ZPMIN(NM0(JN))
PM(:,NM3(JN)) = ZPMIN(NM3(JN))
PM(:,NM6(JN)) = ZPMIN(NM6(JN))
ZMASK(:,JN) = 0.
END WHERE
DO JJ=1,NSP+NCARB+NSOA
PCTOTA(:,JJ,JN) = PCTOTA(:,JJ,JN) * ZMASK(:,JN)
ENDDO
WHERE (ZMASK(:,JN) == 0.)
PCTOTA(:,JP_AER_BC,JN) = ZRATIOBC(JN) * ZPMIN(NM3(JN)) * XFAC(JP_AER_BC)
PCTOTA(:,JP_AER_OC,JN) = ZRATIOOC(JN) * ZPMIN(NM3(JN)) * XFAC(JP_AER_OC)
END WHERE
ENDDO
!
!
END SUBROUTINE CH_AER_SOLV