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wwm_jacobi.F90
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wwm_jacobi.F90
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#include "wwm_functions.h"
!**********************************************************************
!* *
!**********************************************************************
#define DEBUG_ITERATION_LOOP
#undef DEBUG_ITERATION_LOOP
SUBROUTINE EIMPS_ASPAR_BLOCK(ASPAR)
USE DATAPOOL
IMPLICIT NONE
REAL(rkind), intent(out) :: ASPAR(MSC, MDC, NNZ)
INTEGER :: POS_TRICK(3,2)
REAL(rkind) :: FL11(MSC,MDC), FL12(MSC,MDC), FL21(MSC,MDC), FL22(MSC,MDC), FL31(MSC,MDC), FL32(MSC,MDC)
REAL(rkind) :: CRFS(MSC,MDC,3), K1(MSC,MDC), KM(MSC,MDC,3), K(MSC,MDC,3), TRIA03
REAL(rkind) :: CXY(2,MSC,MDC,3)
REAL(rkind) :: DIFRU, USOC, WVC
REAL(rkind) :: DELTAL(MSC,MDC,3)
REAL(rkind) :: KP(MSC,MDC,3), NM(MSC,MDC)
INTEGER :: I1, I2, I3
INTEGER :: IP, ID, IS, IE
INTEGER :: I, IPGL1, IPrel
REAL(rkind) :: DTK(MSC,MDC), TMP3(MSC,MDC)
REAL(rkind) :: LAMBDA(2,MSC,MDC)
POS_TRICK(1,1) = 2
POS_TRICK(1,2) = 3
POS_TRICK(2,1) = 3
POS_TRICK(2,2) = 1
POS_TRICK(3,1) = 1
POS_TRICK(3,2) = 2
!
! Calculate countour integral quantities ...
!
ASPAR = 0.0_rkind ! Mass matrix ...
DO IE = 1, MNE
DO I=1,3
IP = INE(I,IE)
DO IS=1,MSC
DO ID=1,MDC
IF (LSECU .OR. LSTCU) THEN
CXY(1,IS,ID,I) = CG(IS,IP)*COSTH(ID)+CURTXY(IP,1)
CXY(2,IS,ID,I) = CG(IS,IP)*SINTH(ID)+CURTXY(IP,2)
ELSE
CXY(1,IS,ID,I) = CG(IS,IP)*COSTH(ID)
CXY(2,IS,ID,I) = CG(IS,IP)*SINTH(ID)
END IF
IF (LSPHE) THEN
CXY(1,IS,ID,I) = CXY(1,IS,ID,I)*INVSPHTRANS(IP,1)
CXY(2,IS,ID,I) = CXY(2,IS,ID,I)*INVSPHTRANS(IP,2)
END IF
IF (LDIFR) THEN
CXY(1,IS,ID,I) = CXY(1,IS,ID,I)*DIFRM(IP)
CXY(2,IS,ID,I) = CXY(2,IS,ID,I)*DIFRM(IP)
IF (LSECU .OR. LSTCU) THEN
IF (IDIFFR .GT. 1) THEN
WVC = SPSIG(IS)/WK(IS,IP)
USOC = (COSTH(ID)*CURTXY(IP,1) + SINTH(ID)*CURTXY(IP,2))/WVC
DIFRU = ONE + USOC * (ONE - DIFRM(IP))
ELSE
DIFRU = DIFRM(IP)
END IF
CXY(1,IS,ID,I) = CXY(1,IS,ID,I) + DIFRU*CURTXY(IP,1)
CXY(2,IS,ID,I) = CXY(2,IS,ID,I) + DIFRU*CURTXY(IP,2)
END IF
END IF
END DO
END DO
END DO
LAMBDA(:,:,:) = ONESIXTH * (CXY(:,:,:,1) + CXY(:,:,:,2) + CXY(:,:,:,3))
K(:,:,1) = LAMBDA(1,:,:) * IEN(1,IE) + LAMBDA(2,:,:) * IEN(2,IE)
K(:,:,2) = LAMBDA(1,:,:) * IEN(3,IE) + LAMBDA(2,:,:) * IEN(4,IE)
K(:,:,3) = LAMBDA(1,:,:) * IEN(5,IE) + LAMBDA(2,:,:) * IEN(6,IE)
FL11(:,:) = CXY(1,:,:,2)*IEN(1,IE)+CXY(2,:,:,2)*IEN(2,IE)
FL12(:,:) = CXY(1,:,:,3)*IEN(1,IE)+CXY(2,:,:,3)*IEN(2,IE)
FL21(:,:) = CXY(1,:,:,3)*IEN(3,IE)+CXY(2,:,:,3)*IEN(4,IE)
FL22(:,:) = CXY(1,:,:,1)*IEN(3,IE)+CXY(2,:,:,1)*IEN(4,IE)
FL31(:,:) = CXY(1,:,:,1)*IEN(5,IE)+CXY(2,:,:,1)*IEN(6,IE)
FL32(:,:) = CXY(1,:,:,2)*IEN(5,IE)+CXY(2,:,:,2)*IEN(6,IE)
CRFS(:,:,1) = - ONESIXTH * (TWO *FL31(:,:) + FL32(:,:) + FL21(:,:) + TWO * FL22(:,:) )
CRFS(:,:,2) = - ONESIXTH * (TWO *FL32(:,:) + TWO * FL11(:,:) + FL12(:,:) + FL31(:,:) )
CRFS(:,:,3) = - ONESIXTH * (TWO *FL12(:,:) + TWO * FL21(:,:) + FL22(:,:) + FL11(:,:) )
KM = MIN(ZERO,K)
KP(:,:,:) = MAX(ZERO,K)
DELTAL(:,:,:) = CRFS(:,:,:)- KP(:,:,:)
NM(:,:)=ONE/MIN(-THR,KM(:,:,1) + KM(:,:,2) + KM(:,:,3))
TRIA03 = ONETHIRD * TRIA(IE)
DO I=1,3
IP=INE(I,IE)
I1=JA_IE(I,1,IE)
I2=JA_IE(I,2,IE)
I3=JA_IE(I,3,IE)
K1(:,:) = KP(:,:,I)
DO ID=1,MDC
DTK(:,ID) = K1(:,ID) * DT4A * IOBPD(ID,IP) * IOBWB(IP) * IOBDP(IP)
END DO
TMP3(:,:) = DTK(:,:) * NM(:,:)
ASPAR(:,:,I1) = TRIA03+DTK(:,:)- TMP3(:,:) * DELTAL(:,:,I ) + ASPAR(:,:,I1)
ASPAR(:,:,I2) = - TMP3(:,:) * DELTAL(:,:,POS_TRICK(I,1)) + ASPAR(:,:,I2)
ASPAR(:,:,I3) = - TMP3(:,:) * DELTAL(:,:,POS_TRICK(I,2)) + ASPAR(:,:,I3)
END DO
END DO
IF (LBCWA .OR. LBCSP) THEN
DO IP = 1, IWBMNP
IF (LINHOM) THEN
IPrel=IP
ELSE
IPrel=1
ENDIF
IPGL1 = IWBNDLC(IP)
ASPAR(:,:,I_DIAG(IPGL1)) = SI(IPGL1) ! Set boundary on the diagonal
END DO
END IF
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE ADD_FREQ_DIR_TO_ASPAR_COMP_CADS(ASPAR)
USE DATAPOOL
IMPLICIT NONE
REAL(rkind), intent(inout) :: ASPAR(MSC,MDC,NNZ)
REAL(rkind) :: TheVal, eFact
REAL(rkind) :: CASS(0:MSC+1), CP_SIG(0:MSC+1), CM_SIG(0:MSC+1)
REAL(rkind) :: CAD(MSC,MDC), CAS(MSC,MDC)
REAL(rkind) :: CP_THE(MSC,MDC), CM_THE(MSC,MDC)
REAL(rkind) :: B_SIG(MSC)
INTEGER :: ID1, ID2, IS, ID, IP
IF (REFRACTION_IMPL) THEN
DO IP=1,NP_RES
TheVal=1
IF ((ABS(IOBP(IP)) .EQ. 1 .OR. ABS(IOBP(IP)) .EQ. 3) .AND. .NOT. LTHBOUND) TheVal=0
IF (DEP(IP) .LT. DMIN) TheVal=0
IF (IOBP(IP) .EQ. 2) TheVal=0
IF (TheVal .eq. 1) THEN
CALL PROPTHETA(IP,CAD)
ELSE
CAD=ZERO
END IF
CP_THE = MAX(ZERO,CAD)
CM_THE = MIN(ZERO,CAD)
eFact=(DT4D/DDIR)*SI(IP)
CAD_THE(:,:,IP)=CAD
! DO ID=1,MDC
! ID1 = ID - 1
! ID2 = ID + 1
! IF (ID .EQ. 1) ID1 = MDC
! IF (ID .EQ. MDC) ID2 = 1
! A_THE(:,ID,IP) = - eFact * CP_THE(:,ID1)
! C_THE(:,ID,IP) = eFact * CM_THE(:,ID2)
! END DO
ASPAR(:,:,I_DIAG(IP)) = ASPAR(:,:,I_DIAG(IP)) + eFact * (CP_THE(:,:) - CM_THE(:,:))
END DO
END IF
IF (FREQ_SHIFT_IMPL) THEN
DO IP=1,NP_RES
TheVal=1
IF ((ABS(IOBP(IP)) .EQ. 1 .OR. ABS(IOBP(IP)) .EQ. 3) .AND. .NOT. LSIGBOUND) TheVal = 0
IF (DEP(IP) .LT. DMIN) TheVal = 0
IF (IOBP(IP) .EQ. 2) TheVal = 0
IF (TheVal .eq. 1) THEN
CALL PROPSIGMA(IP,CAS)
ELSE
CAS=ZERO
END IF
CAS_SIG(:,:,IP)=CAS
eFact=DT4F*SI(IP)
DO ID = 1, MDC
CASS(1:MSC) = CAS(:,ID)
CASS(0) = 0.
CASS(MSC+1) = CASS(MSC)
CP_SIG = MAX(ZERO,CASS)
CM_SIG = MIN(ZERO,CASS)
! Now forming the tridiagonal system
DO IS=1,MSC
B_SIG(IS)=eFact*(CP_SIG(IS)/DS_INCR(IS-1) - CM_SIG(IS) /DS_INCR(IS))
END DO
! DO IS=2,MSC
! A_SIG(IS,ID,IP) = - eFact*CP_SIG(IS-1)/DS_INCR(IS-1)
! END DO
!
! DO IS=1,MSC-1
! C_SIG(IS,ID,IP) = eFact*CM_SIG(IS+1)/DS_INCR(IS)
! END DO
B_SIG(MSC) = B_SIG(MSC) + eFact*CM_SIG(MSC+1)/DS_INCR(MSC) * PTAIL(5)
ASPAR(:,ID,I_DIAG(IP)) = ASPAR(:,ID,I_DIAG(IP)) + B_SIG
END DO
END DO
END IF
END SUBROUTINE
!**********************************************************************
!* *
!* For the refraction, we use the Upwind implicit scheme
!* N^{n+1} = N^n + f(N^(n+1))
!* This solves the differential equation N'=f(N)
!*
!* Courant, R., Isaacson, E., and Rees, M. (1952). "On the Solution of
!* Nonlinear Hyperbolic Differential Equations by Finite Differences",
!* Comm. Pure Appl. Math., 5, 243–255.
!*
!* This gives
!*
!* (1) N_i^(n+1) = N_i^n + (delta t/delta x)
!* (u_(i+1)^n N_(i+1)^(n+1) - u_i^n N_i^(n+1)) if u_i^n > 0
!* (2) N_i^(n+1) = N_i^n + (delta t/delta x)
!* (u_i^n N_i^(n+1) - u_(i-1)^n N_(i-1)^(n+1)) if u_i^n < 0
!*
!* The notations for tridiagonal system are available from
!* http://en.wikipedia.org/wiki/Tridiagonal_matrix
!*
!* For frequency shifting, things are complicated:
!*
!* Boundary condition: For low frequency, energy disappear. For
!* high frequency, we prolongate the energy by using a parametrization
!* of the tail: PTAIL(5).
!*
!* Grid: the gridsize is variable. DS_INCR(IS) is essentially defined
!* as DS_INCR(IS) = SPSIG(IS) - SPSIG(IS-1)
!* Therefore the system that needs to be resolved is for i=1,MSC
!*
!* We write f_{n,+} = 1 if u_i^n > 0
!* 0 otherwise
!* We write f_{n,-} = 0 if u_i^n > 0
!* 1 otherwise
!* We write u_{i,n,+} = u_i f_{n,+} and similarly for other variables.
!*
!* If we continue like that then we eventually get a non-conservative
!* scheme. See below for details.
!*
!* N_i^(n+1) = N_i^n + (delta t) [
!* + { u_(i+1,n,+) N_(i+1)^(n+1) - u_(i,n,+) N_i^(n+1) }/DS_INCR_i+1
!* { u_(i,n,-) N_i^(n+1) - u_(i-1,n,-) N_(i-1)^(n+1) }/DS_INCR_i
!*
!* which after rewrites give us
!* N_i^n = N_i^(n+1) [1 + Delta t { u_(i,n,+)/DS_i+1
!* - u_(i,n,-)/DS_i } ]
!* + N_(i-1)^(n+1) [ Delta t { u_(i-1,n,-)/DS_i } ]
!* + N_(i+1)^(n+1) [ Delta t { -u_(i+1,n,+)/DS_(i+1) } ]
!*
!* Instead, we set u_{i,n,+} = u_{i,+} = max(u_i, 0)
!* u_{i,n,-} = u_{i,-} = min(u_i, 0)
!* and the equations become simpler:
!* N_i^n = N_i^(n+1) [1 + Delta t { u_(i,+)/DS_i+1
!* - u_(i,-)/DS_i } ]
!* + N_(i-1)^(n+1) [ Delta t { u_(i-1,-)/DS_i } ]
!* + N_(i+1)^(n+1) [ Delta t { -u_(i+1,+)/DS_(i+1) } ]
!*
!* The boundary conditions are expressed as
!* N_0^{n+1}=0 and N_{MSC+1}^{n+1} = N_{MSC}^{n+1} PTAIL(5)
!*
!*
!**********************************************************************
SUBROUTINE GET_FREQ_DIR_CONTRIBUTION(IP, ASPAR_DIAG, A_THE, C_THE, A_SIG, C_SIG)
USE DATAPOOL
IMPLICIT NONE
REAL(rkind), intent(inout) :: ASPAR_DIAG(MSC,MDC)
REAL(rkind), intent(out) :: A_THE(MSC,MDC), C_THE(MSC,MDC)
REAL(rkind), intent(out) :: A_SIG(MSC,MDC), C_SIG(MSC,MDC)
REAL(rkind) :: TheVal, eFact
REAL(rkind) :: CP_SIG, CM_SIG
REAL(rkind) :: CP_SIG_ip1, CM_SIG_im1
REAL(rkind) :: FP, FM
REAL(rkind) :: CAD(MSC,MDC), CAS(MSC,MDC)
REAL(rkind) :: CP_THE(MSC,MDC), CM_THE(MSC,MDC)
REAL(rkind) :: B_SIG(MSC)
INTEGER :: ID1, ID2, IS, ID, IP
IF (REFRACTION_IMPL) THEN
TheVal=1
IF ((ABS(IOBP(IP)) .EQ. 1 .OR. ABS(IOBP(IP)) .EQ. 3) .AND. .NOT. LTHBOUND) TheVal=0
IF (DEP(IP) .LT. DMIN) TheVal=0
IF (IOBP(IP) .EQ. 2) TheVal=0
IF (TheVal .eq. 1) THEN
CALL PROPTHETA(IP,CAD)
ELSE
CAD=ZERO
END IF
CP_THE = MAX(ZERO,CAD)
CM_THE = MIN(ZERO,CAD)
eFact=(DT4D/DDIR)*SI(IP)
DO ID=1,MDC
ID1 = ID_PREV(ID)
ID2 = ID_NEXT(ID)
A_THE(:,ID) = - eFact * CP_THE(:,ID1)
C_THE(:,ID) = eFact * CM_THE(:,ID2)
END DO
ASPAR_DIAG=ASPAR_DIAG + eFact * (CP_THE(:,:) - CM_THE(:,:))
END IF
IF (FREQ_SHIFT_IMPL) THEN
TheVal=1
IF ((ABS(IOBP(IP)) .EQ. 1 .OR. ABS(IOBP(IP)) .EQ. 3) .AND. .NOT. LSIGBOUND) TheVal=0
IF (DEP(IP) .LT. DMIN) TheVal=0
IF (IOBP(IP) .EQ. 2) TheVal=0
IF (TheVal .eq. 1) THEN
CALL PROPSIGMA(IP,CAS)
ELSE
CAS=ZERO
END IF
eFact=DT4F*SI(IP)
DO ID = 1, MDC
DO IS=1,MSC
IF (CAS(IS,ID) .gt. 0) THEN
FP=ONE
FM=ZERO
ELSE
FP=ZERO
FM=ONE
END IF
CP_SIG=CAS(IS,ID) * FP
CM_SIG=CAS(IS,ID) * FM
B_SIG(IS)=eFact*(CP_SIG/DS_INCR(IS+1) - CM_SIG/DS_INCR(IS))
IF (IS .eq. MSC) THEN
CP_SIG_ip1=CAS(MSC,ID)*FP*PTAIL(5)
B_SIG(MSC)=B_SIG(MSC) - eFact*CP_SIG_ip1/DS_INCR(IS)
END IF
IF (IS .gt. 1) THEN
CM_SIG_im1=CAS(IS-1,ID)*FM
A_SIG(IS,ID)=eFact*CM_SIG_im1/DS_INCR(IS)
END IF
IF (IS .lt. MSC) THEN
CP_SIG_ip1=CAS(IS+1,ID)*FP
C_SIG(IS,ID)=-eFact*CP_SIG_ip1/DS_INCR(IS+1)
END IF
END DO
ASPAR_DIAG(:,ID)=ASPAR_DIAG(:,ID) + B_SIG
END DO
END IF
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE GET_IMATRA_IMATDA(IP, ACin, IMATRA, IMATDA)
!AR: This is not good u are passing a array of size MNP but u are not using it make a local copy in the calling routine ...
USE DATAPOOL
IMPLICIT NONE
INTEGER, intent(in) :: IP
REAL(rkind), intent(in) :: ACin(MSC,MDC,MNP)
REAL(rkind), intent(out) :: IMATRA(MSC,MDC)
REAL(rkind), intent(out) :: IMATDA(MSC,MDC)
REAL(rkind) :: eVal
IMATRA=0
IMATDA=0
IF (LNONL) THEN
IF ((ABS(IOBP(IP)) .NE. 1 .AND. IOBP(IP) .NE. 3)) THEN
IF ( DEP(IP) .GT. DMIN .AND. IOBP(IP) .NE. 2) THEN
CALL CYCLE3 (IP, max(zero,ACin(:,:,IP)), IMATRA, IMATDA)
ENDIF
ELSE
IF (LSOUBOUND) THEN ! Source terms on boundary ...
IF ( DEP(IP) .GT. DMIN .AND. IOBP(IP) .NE. 2) THEN
CALL CYCLE3 (IP, ACin(:,:,IP), IMATRA, IMATDA)
ENDIF
ENDIF
ENDIF
ELSE
IMATDA = IMATDAA(:,:,IP)
IMATRA = IMATRAA(:,:,IP)
END IF
eVal = SI(IP) * DT4A * IOBWB(IP) * IOBDP(IP)
IMATRA = IMATRA * eVal
IMATDA = IMATDA * eVal
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE GET_BLOCAL(IP, BLOC)
USE DATAPOOL
IMPLICIT NONE
INTEGER, INTENT(IN) :: IP
REAL(rkind), INTENT(OUT) :: BLOC(MSC,MDC)
INTEGER ID, idx
idx=IWBNDLC_REV(IP)
IF ((LBCWA .OR. LBCSP).and.(idx.gt.0)) THEN
BLOC = WBAC(:,:,idx) * SI(IP)
ELSE
DO ID=1,MDC
BLOC(:,ID) = AC1(:,ID,IP) * IOBPD(ID,IP)*IOBWB(IP)*IOBDP(IP)*SI(IP)
ENDDO
END IF
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE LINEAR_ASPAR_LOCAL(IP, ASPAR_LOC, ASPAR_DIAG, A_THE, C_THE, A_SIG, C_SIG)
USE DATAPOOL
IMPLICIT NONE
INTEGER, intent(in) :: IP
REAL(rkind), intent(out) :: ASPAR_LOC(MSC,MDC,MAX_DEG)
REAL(rkind), intent(out) :: ASPAR_DIAG(MSC,MDC)
REAL(rkind), intent(out) :: A_THE(MSC,MDC), C_THE(MSC,MDC)
REAL(rkind), intent(out) :: A_SIG(MSC,MDC), C_SIG(MSC,MDC)
INTEGER :: POS_TRICK(3,2)
REAL(rkind) :: FL11(MSC,MDC), FL12(MSC,MDC), FL21(MSC,MDC), FL22(MSC,MDC), FL31(MSC,MDC), FL32(MSC,MDC)
REAL(rkind) :: CRFS(MSC,MDC,3), K1(MSC,MDC), KM(MSC,MDC,3), K(MSC,MDC,3), TRIA03
REAL(rkind) :: CXY(2,MSC,MDC,3)
REAL(rkind) :: DIFRU, USOC, WVC
REAL(rkind) :: DELTAL(MSC,MDC,3)
REAL(rkind) :: KP(MSC,MDC,3), NM(MSC,MDC)
REAL(rkind) :: DTK(MSC,MDC), TMP3(MSC,MDC)
REAL(rkind) :: LAMBDA(2,MSC,MDC)
INTEGER :: I1, I2, I3, NI(3)
INTEGER :: ID, IS, IE, IPOS
INTEGER :: I, IPGL1, IPrel, ICON
INTEGER :: IP_fall, IPie, TheVal
INTEGER :: ID1, ID2, POS1, POS2
REAL(rkind) :: CAD(MSC,MDC)
REAL(rkind) :: CAS(MSC,MDC)
REAL(rkind) :: CP_THE(MSC,MDC), CM_THE(MSC,MDC)
REAL(rkind) :: CASS(0:MSC+1), B_SIG(MSC)
REAL(rkind) :: CP_SIG(0:MSC+1), CM_SIG(0:MSC+1)
REAL(rkind) :: eFact
POS_TRICK(1,1) = 2
POS_TRICK(1,2) = 3
POS_TRICK(2,1) = 3
POS_TRICK(2,2) = 1
POS_TRICK(3,1) = 1
POS_TRICK(3,2) = 2
ASPAR_LOC=ZERO
ASPAR_DIAG=ZERO
DO ICON = 1, CCON(IP)
IE = IE_CELL2(IP,ICON)
IPOS = POS_CELL2(IP,ICON)
I1 = INE(1,IE)
I2 = INE(2,IE)
I3 = INE(3,IE)
DO I=1,3
IPie = INE(I,IE)
DO ID=1,MDC
DO IS=1,MSC
IF (LSECU .OR. LSTCU) THEN
CXY(1,IS,ID,I) = CG(IS,IPie)*COSTH(ID)+CURTXY(IPie,1)
CXY(2,IS,ID,I) = CG(IS,IPie)*SINTH(ID)+CURTXY(IPie,2)
ELSE
CXY(1,IS,ID,I) = CG(IS,IPie)*COSTH(ID)
CXY(2,IS,ID,I) = CG(IS,IPie)*SINTH(ID)
END IF
IF (LSPHE) THEN
CXY(1,IS,ID,I) = CXY(1,IS,ID,I)*INVSPHTRANS(IPie,1)
CXY(2,IS,ID,I) = CXY(2,IS,ID,I)*INVSPHTRANS(IPie,2)
END IF
IF (LDIFR) THEN
CXY(1,IS,ID,I) = CXY(1,IS,ID,I)*DIFRM(IPie)
CXY(2,IS,ID,I) = CXY(2,IS,ID,I)*DIFRM(IPie)
IF (LSECU .OR. LSTCU) THEN
IF (IDIFFR .GT. 1) THEN
WVC = SPSIG(IS)/WK(IS,IPie)
USOC = (COSTH(ID)*CURTXY(IPie,1) + SINTH(ID)*CURTXY(IPie,2))/WVC
DIFRU = ONE + USOC * (ONE - DIFRM(IPie))
ELSE
DIFRU = DIFRM(IPie)
END IF
CXY(1,IS,ID,I) = CXY(1,IS,ID,I) + DIFRU*CURTXY(IPie,1)
CXY(2,IS,ID,I) = CXY(2,IS,ID,I) + DIFRU*CURTXY(IPie,2)
END IF
END IF
END DO
END DO
END DO
LAMBDA(:,:,:) = ONESIXTH * (CXY(:,:,:,1) + CXY(:,:,:,2) + CXY(:,:,:,3))
K(:,:,1) = LAMBDA(1,:,:) * IEN(1,IE) + LAMBDA(2,:,:) * IEN(2,IE)
K(:,:,2) = LAMBDA(1,:,:) * IEN(3,IE) + LAMBDA(2,:,:) * IEN(4,IE)
K(:,:,3) = LAMBDA(1,:,:) * IEN(5,IE) + LAMBDA(2,:,:) * IEN(6,IE)
FL11(:,:) = CXY(1,:,:,2)*IEN(1,IE)+CXY(2,:,:,2)*IEN(2,IE)
FL12(:,:) = CXY(1,:,:,3)*IEN(1,IE)+CXY(2,:,:,3)*IEN(2,IE)
FL21(:,:) = CXY(1,:,:,3)*IEN(3,IE)+CXY(2,:,:,3)*IEN(4,IE)
FL22(:,:) = CXY(1,:,:,1)*IEN(3,IE)+CXY(2,:,:,1)*IEN(4,IE)
FL31(:,:) = CXY(1,:,:,1)*IEN(5,IE)+CXY(2,:,:,1)*IEN(6,IE)
FL32(:,:) = CXY(1,:,:,2)*IEN(5,IE)+CXY(2,:,:,2)*IEN(6,IE)
CRFS(:,:,1) = - ONESIXTH * (TWO *FL31(:,:) + FL32(:,:) + FL21(:,:) + TWO * FL22(:,:) )
CRFS(:,:,2) = - ONESIXTH * (TWO *FL32(:,:) + TWO * FL11(:,:) + FL12(:,:) + FL31(:,:) )
CRFS(:,:,3) = - ONESIXTH * (TWO *FL12(:,:) + TWO * FL21(:,:) + FL22(:,:) + FL11(:,:) )
KM = MIN(ZERO,K)
KP(:,:,:) = MAX(ZERO,K)
DELTAL(:,:,:) = CRFS(:,:,:) - KP(:,:,:)
NM(:,:)=ONE/MIN(-THR,KM(:,:,1) + KM(:,:,2) + KM(:,:,3))
TRIA03 = ONETHIRD * TRIA(IE)
!
IP_fall=INE(IPOS,IE)
IF (IP_fall .ne. IP) THEN
CALL WWM_ABORT('Bugs and many more bugs')
END IF
POS1=POS_IP_ADJ(1,IPOS,IE)
POS2=POS_IP_ADJ(2,IPOS,IE)
! I1=JA_IE(IPOS,1,IE)
! I2=JA_IE(IPOS,2,IE)
! I3=JA_IE(IPOS,3,IE)
K1(:,:) = KP(:,:,IPOS)
DO ID=1,MDC
DTK(:,ID) = K1(:,ID) * DT4A * IOBPD(ID,IP) * IOBWB(IP) * IOBDP(IP)
END DO
TMP3(:,:) = DTK(:,:) * NM(:,:)
ASPAR_DIAG=ASPAR_DIAG + TRIA03+DTK(:,:)- TMP3(:,:) * DELTAL(:,:,IPOS)
ASPAR_LOC(:,:,POS1)=ASPAR_LOC(:,:,POS1)-TMP3(:,:)*DELTAL(:,:,POS_TRICK(IPOS,1))
ASPAR_LOC(:,:,POS2)=ASPAR_LOC(:,:,POS2)-TMP3(:,:)*DELTAL(:,:,POS_TRICK(IPOS,2))
END DO
IF (REFRACTION_IMPL) THEN
TheVal=1
IF ((ABS(IOBP(IP)) .EQ. 1 .OR. ABS(IOBP(IP)) .EQ. 3) .AND. .NOT. LTHBOUND) TheVal=0
IF (DEP(IP) .LT. DMIN) TheVal=0
IF (IOBP(IP) .EQ. 2) TheVal=0
IF (TheVal .eq. 1) THEN
CALL PROPTHETA(IP,CAD)
ELSE
CAD=ZERO
END IF
CP_THE = MAX(ZERO,CAD)
CM_THE = MIN(ZERO,CAD)
eFact=(DT4D/DDIR)*SI(IP)
DO ID=1,MDC
ID1 = ID_PREV(ID)
ID2 = ID_NEXT(ID)
A_THE(:,ID) = - eFact * CP_THE(:,ID1)
C_THE(:,ID) = eFact * CM_THE(:,ID2)
END DO
ASPAR_DIAG = ASPAR_DIAG + eFact * (CP_THE(:,:) - CM_THE(:,:))
ELSE
A_THE=ZERO
C_THE=ZERO
END IF
IF (FREQ_SHIFT_IMPL) THEN
TheVal=1
IF ((ABS(IOBP(IP)) .EQ. 1 .OR. ABS(IOBP(IP)) .EQ. 3) .AND. .NOT. LSIGBOUND) TheVal=0
IF (DEP(IP) .LT. DMIN) TheVal=0
IF (IOBP(IP) .EQ. 2) TheVal=0
IF (TheVal .eq. 1) THEN
CALL PROPSIGMA(IP,CAS)
ELSE
CAS=ZERO
END IF
eFact=DT4F*SI(IP)
DO ID = 1, MDC
CASS(1:MSC) = CAS(:,ID)
CASS(0) = 0.
CASS(MSC+1) = CASS(MSC)
CP_SIG = MAX(ZERO,CASS)
CM_SIG = MIN(ZERO,CASS)
DO IS=1,MSC
B_SIG(IS)=eFact*(CP_SIG(IS)/DS_INCR(IS-1) - CM_SIG(IS) /DS_INCR(IS))
END DO
DO IS=2,MSC
A_SIG(IS,ID) = - eFact*CP_SIG(IS-1)/DS_INCR(IS-1)
END DO
DO IS=1,MSC-1
C_SIG(IS,ID) = eFact*CM_SIG(IS+1)/DS_INCR(IS)
END DO
B_SIG(MSC) = B_SIG(MSC) + eFact*CM_SIG(MSC+1)/DS_INCR(MSC) * PTAIL(5)
ASPAR_DIAG(:,ID)=ASPAR_DIAG(:,ID) + B_SIG
END DO
ELSE
A_SIG=ZERO
C_SIG=ZERO
END IF
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE NEGATIVE_PART_B(IP, NEG_P, ASPAR_DIAG)
USE DATAPOOL
IMPLICIT NONE
INTEGER, intent(in) :: IP
REAL(rkind), intent(out) :: NEG_P(MSC,MDC)
REAL(rkind), intent(out) :: ASPAR_DIAG(MSC,MDC)
INTEGER :: POS_TRICK(3,2)
REAL(rkind) :: FL11(MSC,MDC), FL12(MSC,MDC), FL21(MSC,MDC), FL22(MSC,MDC), FL31(MSC,MDC), FL32(MSC,MDC)
REAL(rkind) :: CRFS(MSC,MDC,3), K1(MSC,MDC), KM(MSC,MDC,3), K(MSC,MDC,3), TRIA03
REAL(rkind) :: CXY(2,MSC,MDC,3)
REAL(rkind) :: DIFRU, USOC, WVC
REAL(rkind) :: DELTAL(MSC,MDC,3)
REAL(rkind) :: KP(MSC,MDC,3), NM(MSC,MDC)
REAL(rkind) :: DTK(MSC,MDC), TMP3(MSC,MDC)
REAL(rkind) :: LAMBDA(2,MSC,MDC)
REAL(rkind) :: eF(MSC,MDC)
INTEGER :: I1, I2, I3, NI(3)
INTEGER :: ID, IS, IE, IPOS
INTEGER :: I, IPGL1, IPrel, ICON
INTEGER :: IP_fall, IPie, TheVal
INTEGER :: ID1, ID2, POS1, POS2, IP1, IP2
INTEGER :: IP_ADJ1, IP_ADJ2
REAL(rkind) :: CAD(MSC,MDC)
REAL(rkind) :: CAS(MSC,MDC)
REAL(rkind) :: CP_THE(MSC,MDC), CM_THE(MSC,MDC)
REAL(rkind) :: CASS(0:MSC+1), B_SIG(MSC)
REAL(rkind) :: CP_SIG(0:MSC+1), CM_SIG(0:MSC+1)
REAL(rkind) :: eFact
POS_TRICK(1,1) = 2
POS_TRICK(1,2) = 3
POS_TRICK(2,1) = 3
POS_TRICK(2,2) = 1
POS_TRICK(3,1) = 1
POS_TRICK(3,2) = 2
NEG_P=ZERO
ASPAR_DIAG=ZERO
DO ICON = 1, CCON(IP)
IE = IE_CELL2(IP,ICON)
IPOS = POS_CELL2(IP,ICON)
I1 = INE(1,IE)
I2 = INE(2,IE)
I3 = INE(3,IE)
DO I=1,3
IPie = INE(I,IE)
DO ID=1,MDC
DO IS=1,MSC
IF (LSECU .OR. LSTCU) THEN
CXY(1,IS,ID,I) = CG(IS,IPie)*COSTH(ID)+CURTXY(IPie,1)
CXY(2,IS,ID,I) = CG(IS,IPie)*SINTH(ID)+CURTXY(IPie,2)
ELSE
CXY(1,IS,ID,I) = CG(IS,IPie)*COSTH(ID)
CXY(2,IS,ID,I) = CG(IS,IPie)*SINTH(ID)
END IF
IF (LSPHE) THEN
CXY(1,IS,ID,I) = CXY(1,IS,ID,I)*INVSPHTRANS(IPie,1)
CXY(2,IS,ID,I) = CXY(2,IS,ID,I)*INVSPHTRANS(IPie,2)
END IF
IF (LDIFR) THEN
CXY(1,IS,ID,I) = CXY(1,IS,ID,I)*DIFRM(IPie)
CXY(2,IS,ID,I) = CXY(2,IS,ID,I)*DIFRM(IPie)
IF (LSECU .OR. LSTCU) THEN
IF (IDIFFR .GT. 1) THEN
WVC = SPSIG(IS)/WK(IS,IPie)
USOC = (COSTH(ID)*CURTXY(IPie,1) + SINTH(ID)*CURTXY(IPie,2))/WVC
DIFRU = ONE + USOC * (ONE - DIFRM(IPie))
ELSE
DIFRU = DIFRM(IPie)
END IF
CXY(1,IS,ID,I) = CXY(1,IS,ID,I) + DIFRU*CURTXY(IPie,1)
CXY(2,IS,ID,I) = CXY(2,IS,ID,I) + DIFRU*CURTXY(IPie,2)
END IF
END IF
END DO
END DO
END DO
LAMBDA(:,:,:) = ONESIXTH * (CXY(:,:,:,1) + CXY(:,:,:,2) + CXY(:,:,:,3))
K(:,:,1) = LAMBDA(1,:,:) * IEN(1,IE) + LAMBDA(2,:,:) * IEN(2,IE)
K(:,:,2) = LAMBDA(1,:,:) * IEN(3,IE) + LAMBDA(2,:,:) * IEN(4,IE)
K(:,:,3) = LAMBDA(1,:,:) * IEN(5,IE) + LAMBDA(2,:,:) * IEN(6,IE)
FL11(:,:) = CXY(1,:,:,2)*IEN(1,IE)+CXY(2,:,:,2)*IEN(2,IE)
FL12(:,:) = CXY(1,:,:,3)*IEN(1,IE)+CXY(2,:,:,3)*IEN(2,IE)
FL21(:,:) = CXY(1,:,:,3)*IEN(3,IE)+CXY(2,:,:,3)*IEN(4,IE)
FL22(:,:) = CXY(1,:,:,1)*IEN(3,IE)+CXY(2,:,:,1)*IEN(4,IE)
FL31(:,:) = CXY(1,:,:,1)*IEN(5,IE)+CXY(2,:,:,1)*IEN(6,IE)
FL32(:,:) = CXY(1,:,:,2)*IEN(5,IE)+CXY(2,:,:,2)*IEN(6,IE)
CRFS(:,:,1) = - ONESIXTH * (TWO *FL31(:,:) + FL32(:,:) + FL21(:,:) + TWO * FL22(:,:) )
CRFS(:,:,2) = - ONESIXTH * (TWO *FL32(:,:) + TWO * FL11(:,:) + FL12(:,:) + FL31(:,:) )
CRFS(:,:,3) = - ONESIXTH * (TWO *FL12(:,:) + TWO * FL21(:,:) + FL22(:,:) + FL11(:,:) )
KM = MIN(ZERO,K)
KP(:,:,:) = MAX(ZERO,K)
DELTAL(:,:,:) = CRFS(:,:,:) - KP(:,:,:)
NM(:,:)=ONE/MIN(-THR,KM(:,:,1) + KM(:,:,2) + KM(:,:,3))
TRIA03 = ONETHIRD * TRIA(IE)
!
IP1=INE(POS_TRICK(IPOS,1),IE)
IP2=INE(POS_TRICK(IPOS,2),IE)
K1(:,:) = KP(:,:,IPOS)
DO ID=1,MDC
DTK(:,ID) = K1(:,ID) * DT4A * IOBPD(ID,IP) * IOBWB(IP) * IOBDP(IP)
END DO
TMP3(:,:) = DTK(:,:) * NM(:,:)
ASPAR_DIAG=ASPAR_DIAG + TRIA03+DTK(:,:)- TMP3(:,:) * DELTAL(:,:,IPOS)
eF(:,:) = -TMP3(:,:)*DELTAL(:,:,POS_TRICK(IPOS,1))
NEG_P=NEG_P + eF(:,:)*AC2(:,:,IP1)
eF(:,:) = -TMP3(:,:)*DELTAL(:,:,POS_TRICK(IPOS,2))
NEG_P=NEG_P + eF(:,:)*AC2(:,:,IP2)
END DO
IF (REFRACTION_IMPL) THEN
TheVal=1
IF ((ABS(IOBP(IP)) .EQ. 1 .OR. ABS(IOBP(IP)) .EQ. 3) .AND. .NOT. LTHBOUND) TheVal=0
IF (DEP(IP) .LT. DMIN) TheVal=0
IF (IOBP(IP) .EQ. 2) TheVal=0
IF (TheVal .eq. 1) THEN
CALL PROPTHETA(IP,CAD)
CP_THE = MAX(ZERO,CAD)
CM_THE = MIN(ZERO,CAD)
eFact=(DT4D/DDIR)*SI(IP)
DO ID=1,MDC
ID1 = ID-1
ID2 = ID+1
IF (ID == 1) ID1 = MDC
IF (ID == MDC) ID2 = 1
NEG_P(:,ID)=NEG_P(:,ID) - eFact*CP_THE(:,ID1)*AC2(:,ID1,IP)
NEG_P(:,ID)=NEG_P(:,ID) + eFact*CM_THE(:,ID2)*AC2(:,ID2,IP)
END DO
ASPAR_DIAG = ASPAR_DIAG + eFact * (CP_THE(:,:) - CM_THE(:,:))
END IF
END IF
IF (FREQ_SHIFT_IMPL) THEN
TheVal=1
IF ((ABS(IOBP(IP)) .EQ. 1 .OR. ABS(IOBP(IP)) .EQ. 3) .AND. .NOT. LSIGBOUND) TheVal=0
IF (DEP(IP) .LT. DMIN) TheVal=0
IF (IOBP(IP) .EQ. 2) TheVal=0
IF (TheVal .eq. 1) THEN
CALL PROPSIGMA(IP,CAS)
eFact=DT4F*SI(IP)
DO ID = 1, MDC
CASS(1:MSC) = CAS(:,ID)
CASS(0) = 0.
CASS(MSC+1) = CASS(MSC)
CP_SIG = MAX(ZERO,CASS)
CM_SIG = MIN(ZERO,CASS)
DO IS=1,MSC
B_SIG(IS)=eFact*(CP_SIG(IS)/DS_INCR(IS-1) - CM_SIG(IS) /DS_INCR(IS))
END DO
DO IS=2,MSC
NEG_P(IS,ID)=NEG_P(IS,ID) - eFact*CP_SIG(IS-1)/DS_INCR(IS-1)*AC2(IS-1,ID,IP)
END DO
DO IS=1,MSC-1
NEG_P(IS,ID)=NEG_P(IS,ID) + eFact*CM_SIG(IS+1)/DS_INCR(IS)*AC2(IS+1,ID,IP)
END DO
B_SIG(MSC) = B_SIG(MSC) + eFact*CM_SIG(MSC+1)/DS_INCR(MSC) * PTAIL(5)
ASPAR_DIAG(:,ID)=ASPAR_DIAG(:,ID) + B_SIG
END DO
END IF
END IF
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE NEGATIVE_PART(IP, NEG_P, ASPAR_DIAG)
USE DATAPOOL
IMPLICIT NONE
INTEGER, intent(in) :: IP
REAL(rkind), intent(out) :: NEG_P(MSC,MDC)
REAL(rkind), intent(out) :: ASPAR_DIAG(MSC,MDC)
REAL(rkind) :: FL11_X, FL12_X, FL21_X, FL22_X, FL31_X, FL32_X
REAL(rkind) :: FL11_Y, FL12_Y, FL21_Y, FL22_Y, FL31_Y, FL32_Y
REAL(rkind) :: FL11_U, FL12_U, FL21_U, FL22_U, FL31_U, FL32_U
REAL(rkind) :: CRFS(3), KM(3), K(3), TRIA03
REAL(rkind) :: DIFRU, USOC, WVC
REAL(rkind) :: DELTAL(3)
REAL(rkind) :: KP(3), NM, val1, val2
REAL(rkind) :: K_X(3), K_Y(3), CRFS_X(3), CRFS_Y(3)
REAL(rkind) :: CSX(3), CSY(3)
REAL(rkind) :: CRFS_U(3), K_U(3), LAMBDA_UX, LAMBDA_UY
REAL(rkind) :: UV_CUR(3,2)
REAL(rkind) :: DTK, TMP3
REAL(rkind) :: LAMBDA_X, LAMBDA_Y
INTEGER :: I1, I2, I3, NI(3)
INTEGER :: ID, IS, IE, IPOS
INTEGER :: I, IPGL1, IPrel, ICON
INTEGER :: IP_fall, IPie, TheVal, IP1, IP2
INTEGER :: ID1, ID2, POS1, POS2
REAL(rkind) :: CAD(MSC,MDC)
REAL(rkind) :: CAS(MSC,MDC)
REAL(rkind) :: CP_THE(MSC,MDC), CM_THE(MSC,MDC)
REAL(rkind) :: CASS(0:MSC+1), B_SIG(MSC)
REAL(rkind) :: CP_SIG(0:MSC+1), CM_SIG(0:MSC+1)
REAL(rkind) :: eFact
INTEGER :: POS_TRICK(3,2)
POS_TRICK(1,1) = 2
POS_TRICK(1,2) = 3
POS_TRICK(2,1) = 3
POS_TRICK(2,2) = 1
POS_TRICK(3,1) = 1
POS_TRICK(3,2) = 2
NEG_P=ZERO
ASPAR_DIAG=ZERO
DO ICON = 1, CCON(IP)
IE = IE_CELL2(IP,ICON)
IPOS = POS_CELL2(IP,ICON)
I1 = INE(1,IE)
I2 = INE(2,IE)
I3 = INE(3,IE)
IF (LSECU .OR. LSTCU) THEN
IF (LSPHE) THEN
DO I=1,3
IPie=INE(I,IE)
UV_CUR(I,:)=CURTXY(IPie,:)*INVSPHTRANS(IPie,:)
END DO
ELSE
DO I=1,3
IPie=INE(I,IE)
UV_CUR(I,:)=CURTXY(IPie,:)
END DO
END IF
LAMBDA_UX=ONESIXTH*(UV_CUR(1,1)+UV_CUR(2,1)+UV_CUR(3,1))
LAMBDA_UY=ONESIXTH*(UV_CUR(1,2)+UV_CUR(2,2)+UV_CUR(3,2))
K_U(1) = LAMBDA_UX * IEN(1,IE) + LAMBDA_UY * IEN(2,IE)
K_U(2) = LAMBDA_UX * IEN(3,IE) + LAMBDA_UY * IEN(4,IE)
K_U(3) = LAMBDA_UX * IEN(5,IE) + LAMBDA_UY * IEN(6,IE)
FL11_U = UV_CUR(2,1)*IEN(1,IE)+UV_CUR(2,2)*IEN(2,IE)
FL12_U = UV_CUR(3,1)*IEN(1,IE)+UV_CUR(3,2)*IEN(2,IE)
FL21_U = UV_CUR(3,1)*IEN(3,IE)+UV_CUR(3,2)*IEN(4,IE)
FL22_U = UV_CUR(1,1)*IEN(3,IE)+UV_CUR(1,2)*IEN(4,IE)
FL31_U = UV_CUR(1,1)*IEN(5,IE)+UV_CUR(1,2)*IEN(6,IE)
FL32_U = UV_CUR(2,1)*IEN(5,IE)+UV_CUR(2,2)*IEN(6,IE)
CRFS_U(1) = - ONESIXTH*(TWO *FL31_U + FL32_U + FL21_U + TWO * FL22_U)
CRFS_U(2) = - ONESIXTH*(TWO *FL32_U + TWO * FL11_U + FL12_U + FL31_U)
CRFS_U(3) = - ONESIXTH*(TWO *FL12_U + TWO * FL21_U + FL22_U + FL11_U)
ELSE
K_U=ZERO
CRFS_U=ZERO
END IF
IP1=INE(POS_TRICK(IPOS,1),IE)
IP2=INE(POS_TRICK(IPOS,2),IE)
DO IS=1,MSC
IF (LSPHE) THEN
DO I=1,3
IPie=INE(I,IE)
CSX(I)=CG(IS,IPie)*INVSPHTRANS(IPie,1)
CSY(I)=CG(IS,IPie)*INVSPHTRANS(IPie,2)
END DO
ELSE
DO I=1,3
IPie=INE(I,IE)
CSX(I)=CG(IS,IPie)
CSY(I)=CG(IS,IPie)
END DO
END IF
LAMBDA_X=ONESIXTH * (CSX(1) + CSX(2) + CSX(3))
LAMBDA_Y=ONESIXTH * (CSY(1) + CSY(2) + CSY(3))
K_X(1) = LAMBDA_X * IEN(1,IE)
K_X(2) = LAMBDA_X * IEN(3,IE)
K_X(3) = LAMBDA_X * IEN(5,IE)
K_Y(1) = LAMBDA_Y * IEN(2,IE)
K_Y(2) = LAMBDA_Y * IEN(4,IE)
K_Y(3) = LAMBDA_Y * IEN(6,IE)
FL11_X = CSX(2)*IEN(1,IE)
FL12_X = CSX(3)*IEN(1,IE)
FL21_X = CSX(3)*IEN(3,IE)
FL22_X = CSX(1)*IEN(3,IE)
FL31_X = CSX(1)*IEN(5,IE)
FL32_X = CSX(2)*IEN(5,IE)
FL11_Y = CSY(2)*IEN(2,IE)
FL12_Y = CSY(3)*IEN(2,IE)
FL21_Y = CSY(3)*IEN(4,IE)
FL22_Y = CSY(1)*IEN(4,IE)
FL31_Y = CSY(1)*IEN(6,IE)
FL32_Y = CSY(2)*IEN(6,IE)
CRFS_X(1)= - ONESIXTH*(TWO *FL31_X + FL32_X + FL21_X + TWO * FL22_X )
CRFS_X(2)= - ONESIXTH*(TWO *FL32_X + TWO * FL11_X + FL12_X + FL31_X )
CRFS_X(3)= - ONESIXTH*(TWO *FL12_X + TWO * FL21_X + FL22_X + FL11_X )
CRFS_Y(1)= - ONESIXTH*(TWO *FL31_Y + FL32_Y + FL21_Y + TWO * FL22_Y )
CRFS_Y(2)= - ONESIXTH*(TWO *FL32_Y + TWO * FL11_Y + FL12_Y + FL31_Y )
CRFS_Y(3)= - ONESIXTH*(TWO *FL12_Y + TWO * FL21_Y + FL22_Y + FL11_Y )
DO ID=1,MDC
DO I=1,3
K(I)=K_X(I)*COSTH(ID) + K_Y(I)*SINTH(ID) + K_U(I)
CRFS(I)=CRFS_X(I)*COSTH(ID) + CRFS_Y(I)*SINTH(ID) + CRFS_U(I)
END DO
KM = MIN(ZERO,K)
KP = MAX(ZERO,K)
DELTAL = CRFS - KP
NM=ONE/MIN(-THR,SUM(KM))
TRIA03 = ONETHIRD * TRIA(IE)
!
DTK = KP(IPOS) * DT4A * IOBPD(ID,IP) * IOBWB(IP) * IOBDP(IP)
TMP3 = DTK * NM
ASPAR_DIAG(IS,ID)=ASPAR_DIAG(IS,ID) + TRIA03+DTK- TMP3 * DELTAL(IPOS)
val1=-TMP3*DELTAL(POS_TRICK(IPOS,1))
val2=-TMP3*DELTAL(POS_TRICK(IPOS,2))
NEG_P(IS,ID)=NEG_P(IS,ID) + val1*AC2(IS,ID,IP1)
NEG_P(IS,ID)=NEG_P(IS,ID) + val2*AC2(IS,ID,IP2)
END DO
END DO
END DO
IF (REFRACTION_IMPL) THEN
TheVal=1
IF ((ABS(IOBP(IP)) .EQ. 1 .OR. ABS(IOBP(IP)) .EQ. 3) .AND. .NOT. LTHBOUND) TheVal=0
IF (DEP(IP) .LT. DMIN) TheVal=0
IF (IOBP(IP) .EQ. 2) TheVal=0
IF (TheVal .eq. 1) THEN
CALL PROPTHETA(IP,CAD)
CP_THE = MAX(ZERO,CAD)
CM_THE = MIN(ZERO,CAD)
eFact=(DT4D/DDIR)*SI(IP)
DO ID=1,MDC
ID1 = ID-1
ID2 = ID+1
IF (ID == 1) ID1 = MDC
IF (ID == MDC) ID2 = 1
NEG_P(:,ID)=NEG_P(:,ID) - eFact*CP_THE(:,ID1)*AC2(:,ID1,IP)
NEG_P(:,ID)=NEG_P(:,ID) + eFact*CM_THE(:,ID2)*AC2(:,ID2,IP)
END DO
ASPAR_DIAG = ASPAR_DIAG + eFact * (CP_THE(:,:) - CM_THE(:,:))
END IF
END IF
IF (FREQ_SHIFT_IMPL) THEN
TheVal=1
IF ((ABS(IOBP(IP)) .EQ. 1 .OR. ABS(IOBP(IP)) .EQ. 3) .AND. .NOT. LSIGBOUND) TheVal=0
IF (DEP(IP) .LT. DMIN) TheVal=0
IF (IOBP(IP) .EQ. 2) TheVal=0
IF (TheVal .eq. 1) THEN
CALL PROPSIGMA(IP,CAS)
eFact=DT4F*SI(IP)
DO ID = 1, MDC
CASS(1:MSC) = CAS(:,ID)
CASS(0) = 0.
CASS(MSC+1) = CASS(MSC)
CP_SIG = MAX(ZERO,CASS)
CM_SIG = MIN(ZERO,CASS)
DO IS=1,MSC
B_SIG(IS)=eFact*(CP_SIG(IS)/DS_INCR(IS-1) - CM_SIG(IS) /DS_INCR(IS))
END DO
DO IS=2,MSC
NEG_P(IS,ID)=NEG_P(IS,ID) - eFact*CP_SIG(IS-1)/DS_INCR(IS-1)*AC2(IS-1,ID,IP)
END DO
DO IS=1,MSC-1
NEG_P(IS,ID)=NEG_P(IS,ID) + eFact*CM_SIG(IS+1)/DS_INCR(IS)*AC2(IS+1,ID,IP)
END DO
B_SIG(MSC) = B_SIG(MSC) + eFact*CM_SIG(MSC+1)/DS_INCR(MSC) * PTAIL(5)
ASPAR_DIAG(:,ID)=ASPAR_DIAG(:,ID) + B_SIG
END DO
END IF
END IF
END SUBROUTINE
!**********************************************************************
!* *
!**********************************************************************
SUBROUTINE COMPUTE_K_CRFS_XYU
USE DATAPOOL
IMPLICIT NONE
INTEGER :: IP, J, ICON, IPie
REAL(rkind) :: FL11_X, FL12_X, FL21_X, FL22_X, FL31_X, FL32_X
REAL(rkind) :: FL11_Y, FL12_Y, FL21_Y, FL22_Y, FL31_Y, FL32_Y
REAL(rkind) :: FL11_U, FL12_U, FL21_U, FL22_U, FL31_U, FL32_U
REAL(rkind) :: CSX(3), CSY(3)
REAL(rkind) :: K_X(3), K_Y(3), CRFS_X(3), CRFS_Y(3)
REAL(rkind) :: CRFS_U(3), K_U(3), LAMBDA_UX, LAMBDA_UY
REAL(rkind) :: UV_CUR(3,2)
INTEGER :: IE, IPOS, I1, I2, I3, I, IP1, IP2, IS
REAL(rkind) :: LAMBDA_X, LAMBDA_Y
INTEGER :: POS_TRICK(3,2)
POS_TRICK(1,1) = 2
POS_TRICK(1,2) = 3
POS_TRICK(2,1) = 3
POS_TRICK(2,2) = 1
POS_TRICK(3,1) = 1
POS_TRICK(3,2) = 2
J=0
DO IP=1,NP_RES
DO ICON = 1, CCON(IP)
J=J+1
IE = IE_CELL2(IP,ICON)
IPOS = POS_CELL2(IP,ICON)
I1 = INE(1,IE)
I2 = INE(2,IE)
I3 = INE(3,IE)
IF (LSECU .OR. LSTCU) THEN
IF (LSPHE) THEN
DO I=1,3
IPie=INE(I,IE)
UV_CUR(I,:)=CURTXY(IPie,:)*INVSPHTRANS(IPie,:)
END DO
ELSE
DO I=1,3
IPie=INE(I,IE)
UV_CUR(I,:)=CURTXY(IPie,:)
END DO
END IF
LAMBDA_UX=ONESIXTH*(UV_CUR(1,1)+UV_CUR(2,1)+UV_CUR(3,1))
LAMBDA_UY=ONESIXTH*(UV_CUR(1,2)+UV_CUR(2,2)+UV_CUR(3,2))
K_U(1) = LAMBDA_UX * IEN(1,IE) + LAMBDA_UY * IEN(2,IE)
K_U(2) = LAMBDA_UX * IEN(3,IE) + LAMBDA_UY * IEN(4,IE)
K_U(3) = LAMBDA_UX * IEN(5,IE) + LAMBDA_UY * IEN(6,IE)
FL11_U = UV_CUR(2,1)*IEN(1,IE)+UV_CUR(2,2)*IEN(2,IE)
FL12_U = UV_CUR(3,1)*IEN(1,IE)+UV_CUR(3,2)*IEN(2,IE)
FL21_U = UV_CUR(3,1)*IEN(3,IE)+UV_CUR(3,2)*IEN(4,IE)
FL22_U = UV_CUR(1,1)*IEN(3,IE)+UV_CUR(1,2)*IEN(4,IE)
FL31_U = UV_CUR(1,1)*IEN(5,IE)+UV_CUR(1,2)*IEN(6,IE)
FL32_U = UV_CUR(2,1)*IEN(5,IE)+UV_CUR(2,2)*IEN(6,IE)
CRFS_U(1) = - ONESIXTH*(TWO *FL31_U + FL32_U + FL21_U + TWO * FL22_U)
CRFS_U(2) = - ONESIXTH*(TWO *FL32_U + TWO * FL11_U + FL12_U + FL31_U)
CRFS_U(3) = - ONESIXTH*(TWO *FL12_U + TWO * FL21_U + FL22_U + FL11_U)
ELSE
K_U=ZERO
CRFS_U=ZERO
END IF
K_CRFS_U(1:3,J)=K_U
K_CRFS_U(4:6,J)=CRFS_U
IP1=INE(POS_TRICK(IPOS,1),IE)
IP2=INE(POS_TRICK(IPOS,2),IE)
DO IS=1,MSC
IF (LSPHE) THEN
DO I=1,3
IPie=INE(I,IE)
CSX(I)=CG(IS,IPie)*INVSPHTRANS(IPie,1)
CSY(I)=CG(IS,IPie)*INVSPHTRANS(IPie,2)
END DO
ELSE
DO I=1,3
IPie=INE(I,IE)
CSX(I)=CG(IS,IPie)
CSY(I)=CG(IS,IPie)
END DO
END IF
LAMBDA_X=ONESIXTH * (CSX(1) + CSX(2) + CSX(3))
LAMBDA_Y=ONESIXTH * (CSY(1) + CSY(2) + CSY(3))
K_X(1) = LAMBDA_X * IEN(1,IE)
K_X(2) = LAMBDA_X * IEN(3,IE)
K_X(3) = LAMBDA_X * IEN(5,IE)
K_Y(1) = LAMBDA_Y * IEN(2,IE)
K_Y(2) = LAMBDA_Y * IEN(4,IE)
K_Y(3) = LAMBDA_Y * IEN(6,IE)
FL11_X = CSX(2)*IEN(1,IE)
FL12_X = CSX(3)*IEN(1,IE)