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SUBROUTINE TRIANGLE_GRID_EDGE(vx,vy,xc,yc,nv,N,NCT,M,NE,NTSN,NBSN,NTVE,NBVE, &
NBVT,IEC,IENODE,NBE,XIJC,YIJC,DLTXC,DLTYC)
!==============================================================================|
! FIND NEIGHBORING ELEMENTS, MARK BOUNDARY NODES AND ELEMENTS |
! |
! NBE(N,3) : NBE(I,J) = IDENTITY OF NBOR ELMNT TO TRI I ON EDGE J |
! IBCE(N) : DESCRIBED IN SUBROUTINE HEADING |
! ISONB(M): DESCRIBED IN SUBROUTINE HEADING |
!==============================================================================|
IMPLICIT NONE
INTEGER N,M,NCT,N1,N2,N3,J1,J2,J3,I,J,NC,MX_NBR_ELEM
INTEGER NBE(N,3),NV(N,3),NTSN(M),NBSN(M,11),NTVE(M),NBVE(M,9),NBVT(M,9),ISONB(M)
INTEGER, ALLOCATABLE :: ISBCE(:)
INTEGER, ALLOCATABLE, DIMENSION(:,:) :: TEMP,TEMP2,NB_TMP,ISET
INTEGER II,JJ,NTMP,NCNT,INEY,JN,NE,NCV,NCV_I
INTEGER ITMP1,ITMP2,ITMP3,JJB,IBCETMP,NCTMP,NCETMP,NPT
INTEGER, ALLOCATABLE :: CELLS(:,:),CELLCNT(:)
REAL*8 vx(M),vy(M),xc(N),yc(N)
INTEGER, ALLOCATABLE :: ISBC(:)
INTEGER :: NIEC(NCT,2)
INTEGER :: NTRG(NCT)
INTEGER :: IEC(NE,2)
INTEGER :: IENODE(NE,2)
REAL*8 :: DLTXC(NE)
REAL*8 :: DLTYC(NE)
REAL*8 :: DLTXYC(NE)
REAL*8 :: DLTXE(NCT)
REAL*8 :: DLTYE(NCT)
REAL*8 :: DLTXYE(NCT)
REAL*8,ALLOCATABLE :: SITAC(:)
REAL*8 :: SITAE(NCT)
REAL*8 :: XIJC(NE)
REAL*8 :: YIJC(NE)
REAL*8 :: XIJE(NCT,2)
REAL*8 :: YIJE(NCT,2)
REAL*8 DTMP
!----------------------------INITIALIZE----------------------------------------!
ALLOCATE(ISBCE(N))
ISBCE = 0
! ISONB = 0
NBE = 0
!
!----DETERMINE NBE(i=1:n,j=1:3): INDEX OF 1 to 3 NEIGHBORING ELEMENTS----------!
!
ALLOCATE(CELLS(M,50)) ; CELLS = 0
ALLOCATE(CELLCNT(M)) ; CELLCNT = 0
print*,'I am here 1!'
DO I=1,N
N1 = NV(I,1) ; CELLCNT(N1) = CELLCNT(N1)+1
N2 = NV(I,2) ; CELLCNT(N2) = CELLCNT(N2)+1
N3 = NV(I,3) ; CELLCNT(N3) = CELLCNT(N3)+1
CELLS(NV(I,1),CELLCNT(N1)) = I
CELLS(NV(I,2),CELLCNT(N2)) = I
CELLS(NV(I,3),CELLCNT(N3)) = I
END DO
if(maxval(cellcnt) > 50)write(*,*)'bad',maxval(cellcnt)
DO I=1,N
N1 = NV(I,1)
N2 = NV(I,2)
N3 = NV(I,3)
DO J1 = 1,CELLCNT(N1)
DO J2 = 1,CELLCNT(N2)
IF((CELLS(N1,J1) == CELLS(N2,J2)).AND. CELLS(N1,J1) /= I)NBE(I,3) = CELLS(N1,J1)
END DO
END DO
DO J2 = 1,CELLCNT(N2)
DO J3 = 1,CELLCNT(N3)
IF((CELLS(N2,J2) == CELLS(N3,J3)).AND. CELLS(N2,J2) /= I)NBE(I,1) = CELLS(N2,J2)
END DO
END DO
DO J1 = 1,CELLCNT(N1)
DO J3 = 1,CELLCNT(N3)
IF((CELLS(N1,J1) == CELLS(N3,J3)).AND. CELLS(N1,J1) /= I)NBE(I,2) = CELLS(N3,J3)
END DO
END DO
END DO
DEALLOCATE(CELLS,CELLCNT)
print*,'I am here 2!'
!
!--ENSURE ALL ELEMENTS HAVE AT LEAST ONE NEIGHBOR------------------------------!
!
! NFLAG = 0
! DO I=1,N
! IF(SUM(NBE(I,1:3))==0)THEN
! NFLAG = 1
! WRITE(*,*)'ELEMENT ',I,' AT ',XC(I),YC(I),' HAS NO NEIGHBORS'
! CALL STOP
! END IF
! END DO
! IF(NFLAG == 1) CALL STOP
!
!----IF ELEMENT ON BOUNDARY SET ISBCE(I)=1 AND ISONB(J)=1 FOR BOUNDARY NODES J-!
!
DO I=1,N
IF(MIN(NBE(I,1),NBE(I,2),NBE(I,3))==0)THEN !!ELEMENT ON BOUNDARY
ISBCE(I) = 1
IF(NBE(I,1) == 0)THEN
ISONB(NV(I,2)) = 1 ; ISONB(NV(I,3)) = 1
END IF
IF(NBE(I,2) ==0) THEN
ISONB(NV(I,1)) = 1 ; ISONB(NV(I,3)) = 1
END IF
IF(NBE(I,3) ==0) THEN
ISONB(NV(I,1)) = 1 ; ISONB(NV(I,2)) = 1
END IF
END IF
END DO
print*,'I am here 3!'
!==============================================================================|
! DEFINE NTVE, NBVE, NBVT !
! !
! ntve(1:m): total number of the surrounding triangles !
! connected to the given node !
! nbve(1:m, 1:ntve+1): the identification number of surrounding !
! triangles with a common node (counted clockwise) !
! nbvt(1:m,ntve(1:m)): the idenfication number of a given node over !
! each individual surrounding triangle(counted !
! clockwise) !
! ntsn(1:m): total number of surrounding nodes !
! nbsn(1:m, ntsn): the identification number of surrounding nodes !
! (counted clockwise) !
! nbse(1:m,2*ntsn): the identification number of control volume s !
! edges between two neighbor nodes !
!==============================================================================|
!
!----DETERMINE MAX NUMBER OF SURROUNDING ELEMENTS------------------------------!
!
! To speed up code, define MX_NBR_ELEM equal to 8 instead of searching.
MX_NBR_ELEM =8
! DO I=1,M
! NCNT = 0
! DO J=1,N
! IF( FLOAT(NV(J,1)-I)*FLOAT(NV(J,2)-I)*FLOAT(NV(J,3)-I) == 0.0) &
! NCNT = NCNT + 1
! END DO
! MX_NBR_ELEM = MAX(MX_NBR_ELEM,NCNT)
! END DO
! WRITE(IPT,*) 'MAXIMUM NUMBER OF NEIGHBOR ELEMENTS',MX_NBR_ELEM
!
!----ALLOCATE ARRAYS BASED ON MX_NBR_ELEM--------------------------------------!
!
! ALLOCATE(NBVE(M,MX_NBR_ELEM+1))
! ALLOCATE(NBVT(M,MX_NBR_ELEM+1))
! ALLOCATE(NBSN(M,MX_NBR_ELEM+3)) !!MHB
!
!--DETERMINE NUMBER OF SURROUNDING ELEMENTS FOR NODE I = NTVE(I)---------------!
!--DETERMINE NBVE - INDICES OF NEIGHBORING ELEMENTS OF NODE I------------------!
!--DETERMINE NBVT - INDEX (1,2, or 3) OF NODE I IN NEIGHBORING ELEMENT---------!
!
DO I=1,M
NCNT=0
DO J=1,N
! IF( (NV(J,1)-I) == 0 .OR. (NV(J,2)-I) == 0 .OR. (NV(J,3)-I) == 0)THEN
IF (FLOAT(NV(J,1)-I)*FLOAT(NV(J,2)-I)*FLOAT(NV(J,3)-I) == 0.0)THEN
NCNT = NCNT+1
NBVE(I,NCNT)=J
IF((NV(J,1)-I) == 0) NBVT(I,NCNT)=1
IF((NV(J,2)-I) == 0) NBVT(I,NCNT)=2
IF((NV(J,3)-I) == 0) NBVT(I,NCNT)=3
END IF
ENDDO
NTVE(I)=NCNT
ENDDO
!
!--Reorder Order Elements Surrounding a Node to Go in a Cyclical Procession----!
!--Determine NTSN = Number of Nodes Surrounding a Node (+1)-------------------!
!--Determine NBSN = Node Numbers of Nodes Surrounding a Node------------------!
!
ALLOCATE(NB_TMP(M,MX_NBR_ELEM+1))
DO I=1,M
IF(ISONB(I) == 0) THEN
NB_TMP(1,1)=NBVE(I,1)
NB_TMP(1,2)=NBVT(I,1)
DO J=2,NTVE(I)+1
II=NB_TMP(J-1,1)
JJ=NB_TMP(J-1,2)
NB_TMP(J,1)=NBE(II,JJ+1-INT((JJ+1)/4)*3)
JJ=NB_TMP(J,1)
IF((NV(JJ,1)-I) == 0) NB_TMP(J,2)=1
IF((NV(JJ,2)-I) == 0) NB_TMP(J,2)=2
IF((NV(JJ,3)-I) == 0) NB_TMP(J,2)=3
ENDDO
DO J=2,NTVE(I)+1
NBVE(I,J)=NB_TMP(J,1)
ENDDO
DO J=2,NTVE(I)+1
NBVT(I,J)=NB_TMP(J,2)
ENDDO
NTMP=NTVE(I)+1
! IF(NBVE(I,1) /= NBVE(I,NTMP)) THEN
! PRINT*, I,'NBVE(I) NOT CORRECT!!'
! CALL STOP
! ENDIF
! IF(NBVT(I,1) /= NBVT(I,NTMP)) THEN
! PRINT*, I,'NBVT(I) NOT CORRECT!!'
! CALL STOP
! END IF
NTSN(I)=NTVE(I)
DO J=1,NTSN(I)
II=NBVE(I,J)
JJ=NBVT(I,J)
NBSN(I,J)=NV(II,JJ+1-INT((JJ+1)/4)*3)
ENDDO
NTSN(I)=NTSN(I)+1
NBSN(I,NTSN(I))=NBSN(I,1)
ELSE
JJB=0
DO J=1,NTVE(I)
JJ=NBVT(I,J)
IF(NBE(NBVE(I,J),JJ+2-INT((JJ+2)/4)*3) == 0) THEN
JJB=JJB+1
NB_TMP(JJB,1)=NBVE(I,J)
NB_TMP(JJB,2)=NBVT(I,J)
END IF
ENDDO
! IF(JJB /= 1) THEN
! PRINT*, 'ERROR IN ISONB !,I,J', I,J
! PAUSE
! END IF
DO J=2,NTVE(I)
II=NB_TMP(J-1,1)
JJ=NB_TMP(J-1,2)
NB_TMP(J,1)=NBE(II,JJ+1-INT((JJ+1)/4)*3)
JJ=NB_TMP(J,1)
IF((NV(JJ,1)-I) == 0) NB_TMP(J,2)=1
IF((NV(JJ,2)-I) == 0) NB_TMP(J,2)=2
IF((NV(JJ,3)-I) == 0) NB_TMP(J,2)=3
ENDDO
DO J=1,NTVE(I)
NBVE(I,J)=NB_TMP(J,1)
NBVT(I,J)=NB_TMP(J,2)
ENDDO
NBVE(I,NTVE(I)+1)=0
NTSN(I)=NTVE(I)+1
NBSN(I,1)=I
DO J=1,NTSN(I)-1
II=NBVE(I,J)
JJ=NBVT(I,J)
NBSN(I,J+1)=NV(II,JJ+1-INT((JJ+1)/4)*3)
ENDDO
J=NTSN(I)
II=NBVE(I,J-1)
JJ=NBVT(I,J-1)
NBSN(I,J+1)=NV(II,JJ+2-INT((JJ+2)/4)*3)
NTSN(I)=NTSN(I)+2
NBSN(I,NTSN(I))=I
END IF
END DO
DEALLOCATE(NB_TMP)
! IF(MX_NBR_ELEM+3 -MAXVAL(NTSN) < 0)THEN
! WRITE(*,*)'CHECK NTSN/NBSN',MAXVAL(NTSN),MX_NBR_ELEM+3
! CALL STOP
! END IF
!==============================================================================!
! Define the parameters of each triangular edge !
! !
! ne : number of unique element edges !
! iec(1:ne,1:2): counting number identifying two connected cells !
! isbc(1:ne): 0: triangle s edge in the interior !
! 1: triangle s edge on the boundary !
! ienode(1:ne,1:2): the identification number of two end points of a !
! edge !
! xijc(1:ne): the x-coordinate location of the middle points !
! of a edge !
! yijc(1:ne): the y-coordinate location of the middle points !
! of a edge !
! dltxyc(1:ne): length of the edge !
! dltxc(1:ne): vx(ienode(i,2))-vx(idnode(i,1)) !
! dltyc(1:ne): vy(ienode(i,2))-vy(idnode(i,1)) !
! sitac(1:ne): arctg(dltyc,dltxc) !
!==============================================================================!
print*,'NE1=',NE
ALLOCATE(ISET(N,3),TEMP((N)*3,2),TEMP2((N)*3,2))
ISET = 0
NE = 0
TEMP = 0
TEMP2 = 0
DO I=1,N
DO J=1,3
IF(ISET(I,J) == 0)THEN
NE = NE + 1
INEY = NBE(I,J)
ISET(I,J) = 1
DO JN=1,3
IF(I == NBE(INEY,JN)) ISET(INEY,JN) = 1
END DO
TEMP(NE,1) = I ; TEMP(NE,2) = INEY
TEMP2(NE,1) = NV(I,J+1-INT((J+1)/4)*3)
TEMP2(NE,2) = NV(I,J+2-INT((J+2)/4)*3)
END IF
END DO
END DO
print*,'NE=',NE
DEALLOCATE(ISET)
!--ALLOCATE ARRAYS REQUIRING NUMBER OF EDGES-----------------------------------!
!
! ALLOCATE(IEC(NE,2))
! ALLOCATE(IENODE(NE,2))
! ALLOCATE(XIJC(NE))
! ALLOCATE(YIJC(NE))
! ALLOCATE(DLTXYC(NE))
! ALLOCATE(DLTXC(NE))
! ALLOCATE(DLTYC(NE))
ALLOCATE(SITAC(NE))
ALLOCATE(ISBC(NE))
IEC(:,1) = TEMP(1:NE,1)
IEC(:,2) = TEMP(1:NE,2)
IENODE(:,1) = TEMP2(1:NE,1)
IENODE(:,2) = TEMP2(1:NE,2)
DEALLOCATE(TEMP,TEMP2)
!
!------MARK ELEMENT EDGES THAT ARE ON THE BOUNDARY-----------------------------!
!
ISBC = 0
DO I=1,NE
IF((IEC(I,1) == 0) .OR. (IEC(I,2) == 0)) ISBC(I) = 1
END DO
!
!------CALCULATE ELEMENT EDGE METRICS------------------------------------------!
!
DO I=1,NE
DLTXC(I) = VX(IENODE(I,2))-VX(IENODE(I,1))
DLTYC(I) = VY(IENODE(I,2))-VY(IENODE(I,1))
XIJC(I) = (VX(IENODE(I,1))+VX(IENODE(I,2)))/2.0
YIJC(I) = (VY(IENODE(I,1))+VY(IENODE(I,2)))/2.0
DLTXYC(I)= SQRT(DLTXC(I)**2+DLTYC(I)**2)
SITAC(I) = ATAN2(DLTYC(I),DLTXC(I))
END DO
!
!----TRAVERSE BOUNDARY NODE NUMBERS AND SET ISONB(NODE)=2---------------------!
!
DO I=1,214
ISONB(I)=2
ENDDO
!
!----DETERMINE IF ELEMENT IS ON OPEN BOUNDARY (CONTAINS EDGE ON OPEN BOUNDARY)-!
!
IBCETMP=0
DO I=1,N
ITMP1=ISONB(NV(I,1))
ITMP2=ISONB(NV(I,2))
ITMP3=ISONB(NV(I,3))
!JQI< 07/23/04
!JQI IF(SUM(ISONB(NV(I,1:3))) >= 4) THEN
IF(SUM(ISONB(NV(I,1:3))) == 4) THEN
ISBCE(I)=2
IBCETMP =IBCETMP+1
ELSE IF(SUM(ISONB(NV(I,1:3))) > 4) THEN
PRINT*,'SORRY, THE BOUNDARY CELL',I,'IS NOT GOOD FOR MODEL.'
END IF
END DO
DO I=1,N
IF((NBE(I,1)+NBE(I,2)+NBE(I,3) == 0).AND.(ISBCE(I) /= 2)) ISBCE(I)=3
IF((NBE(I,1)+NBE(I,2) == 0).AND.(ISBCE(I) /= 2)) ISBCE(I)=3
IF((NBE(I,2)+NBE(I,3) == 0).AND.(ISBCE(I) /= 2)) ISBCE(I)=3
IF((NBE(I,1)+NBE(I,3) == 0).AND.(ISBCE(I) /= 2)) ISBCE(I)=3
ENDDO
!==============================================================================!
! xije(1:nc,1:2): the x coordinate locations of starting and ending !
! points of the control volumes edges !
! yije(1:nc,1:2): the y coordinate locations of starting and ending !
! points of the control volumes edges !
! niec(1:nc,1:2): the counting number of left and right nodes !
! conected to this control volumes edge from !
! starting point to ending point !
! dltxe(1:nc): the x distance of individual edges !
! dltye(1:nc) the y distance of individual edges !
! dltxye(1:nc): the length of individual edges !
! ntrg(1:nc) : element associated with this control volume edge !
!==============================================================================!
NCTMP = 0
NCETMP = 0
DO I=1,NE
IF(ISBC(I) == 0) THEN
IF(IEC(I,1) <= N)THEN
NCTMP=NCTMP+1
NPT =NCTMP
ELSE
NCETMP = NCETMP + 1
NPT = NCETMP+(3*N)
END IF
XIJE(NPT,1) = XC(IEC(I,1))
YIJE(NPT,1) = YC(IEC(I,1))
XIJE(NPT,2) = XIJC(I)
YIJE(NPT,2) = YIJC(I)
NIEC(NPT,1) = IENODE(I,1)
NIEC(NPT,2) = IENODE(I,2)
NTRG(NPT) = IEC(I,1)
DLTXE(NPT) = XIJE(NPT,2)-XIJE(NPT,1)
DLTYE(NPT) = YIJE(NPT,2)-YIJE(NPT,1)
DTMP = DLTXE(NPT)*DLTXE(NPT)+DLTYE(NPT)*DLTYE(NPT)
DLTXYE(NPT) = SQRT(DTMP)
SITAE(NPT) = ATAN2(DLTYE(NPT),DLTXE(NPT))
IF(IEC(I,2) <= N)THEN
NCTMP=NCTMP+1
NPT =NCTMP
ELSE
NCETMP = NCETMP + 1
NPT = NCETMP+(3*N)
END IF
XIJE(NPT,1)=XC(IEC(I,2))
YIJE(NPT,1)=YC(IEC(I,2))
XIJE(NPT,2)=XIJC(I)
YIJE(NPT,2)=YIJC(I)
NIEC(NPT,1)=IENODE(I,2)
NIEC(NPT,2)=IENODE(I,1)
NTRG(NPT)=IEC(I,2)
DLTXE(NPT)=XIJE(NPT,2)-XIJE(NPT,1)
DLTYE(NPT)=YIJE(NPT,2)-YIJE(NPT,1)
DTMP=DLTXE(NPT)*DLTXE(NPT)+DLTYE(NPT)*DLTYE(NPT)
DLTXYE(NPT)=SQRT(DTMP)
SITAE(NPT)=ATAN2(DLTYE(NPT),DLTXE(NPT))
ELSE IF(ISBC(I) == 1) THEN
IF(IEC(I,1) <= N)THEN
NCTMP=NCTMP+1
NPT =NCTMP
ELSE
NCETMP = NCETMP + 1
NPT = NCETMP+(3*N)
END IF
IF(IEC(I,1) == 0) THEN
PRINT*, I,'IEC(I,1)===0'
! CALL PSTOP
END IF
XIJE(NPT,1)=XC(IEC(I,1))
YIJE(NPT,1)=YC(IEC(I,1))
XIJE(NPT,2)=XIJC(I)
YIJE(NPT,2)=YIJC(I)
NIEC(NPT,1)=IENODE(I,1)
NIEC(NPT,2)=IENODE(I,2)
NTRG(NPT)=IEC(I,1)
DLTXE(NPT)=XIJE(NPT,2)-XIJE(NPT,1)
DLTYE(NPT)=YIJE(NPT,2)-YIJE(NPT,1)
DTMP=DLTXE(NPT)*DLTXE(NPT)+DLTYE(NPT)*DLTYE(NPT)
DLTXYE(NPT)=SQRT(DTMP)
SITAE(NPT)=ATAN2(DLTYE(NPT),DLTXE(NPT))
ELSE
WRITE(*,*) 'ISBC(I) NOT CORRECT, I==',I
! CALL PSTOP
END IF
ENDDO
NCV_I = NCTMP
NCV = NCETMP+NCTMP
IF(NCV /= 3*(N)) THEN
PRINT*,'NCV IS NOT CORRECT, PLEASE CHECK THE SETUP'
! CALL PSTOP
END IF
IF(NCV_I /= 3*N) THEN
PRINT*,'NCV_I IS NOT CORRECT, PLEASE CHECK THE SETUP'
! CALL PSTOP
END IF
DO I=1,NCV_I
IF(NIEC(I,1) > M .OR. NIEC(I,2) > M)THEN
write(*,*)'problemas',niec(i,1),niec(i,2),m
! CALL PSTOP
END IF
END DO
! open(22,file='tge_infor.dat')
! do I=1,NCTMP
! write(22,'(6(f15.4,2x),3(i8,2x))') dltxe(i),dltye(i), &
! xije(i,1),xije(i,2),yije(i,1),yije(i,2),niec(i,1),niec(i,2),ntrg(i)
! end do
! close(22)
RETURN
END SUBROUTINE TRIANGLE_GRID_EDGE
!==============================================================================!