PROGRAM SETNEUM2 C======================================================================= C DATA GENERATING PROGRAM FOR BEM8QUDQ.FOR C PROJECT:COAXIAL CABLE ANALYSIS C PROJECT NAME: COAXIAL NEUMANN BOUNDARY ON INNER DIRICHLET ON OUTER C INNER SHAPE: CIRCLE OUTER SHAPE: rectangular C DOMAIN: FINITE C ELEMENT: 3-NODED PARAMETRIC ELEMENT C EIJI FUKUMORI FEB 08, 2022 C======================================================================= IMPLICIT REAL*8 ( A-H , O-Z ) PARAMETER ( ND=3,MXE=500,MXN=2*MXE, MXI=100 ) C======================================================================= DIMENSION NODEX(MXE,ND),XCOORD(MXN), YCOORD(MXN) DIMENSION XI(MXI), YI(MXI), IELTYPE(MXE),BV(MXE,ND) COMPLEX*16 BASEVEC , UNITVEC C======================================================================= C--------------OUTER BOUNDARY IS DEVIDED INTO 8 SEGMENTS C ELEMENTS IN EACH SEGMENT "NEOUTER". C HENCE, ELEMENTS ON OUTER BOUNADRY = NEOUTER * 8 NEOUTER = 4 NEINNER = 4*4 C======================================================================= PI = 4.* DATAN( 1.D0) RADIUSA = 6.35D0 RADIUSB = 9.5D0 RADIUSC = 12.0D0 IF ( RADIUSB .LE. RADIUSA ) STOP 'RADIUSB MUST BE > RADIUSA.' IF ( RADIUSC .LT. RADIUSB ) STOP 'RADIUSC MUST BE >= RADIUSB.' WRITE (*,*) 'RADIUS-A(INNER) = ', RADIUSA WRITE (*,*) 'RADIUS-B(OUTER-VERTICA L) = ', RADIUSB WRITE (*,*) 'RADIUS-C(OUTER-HORIZONTAL) = ', RADIUSC C======================================================================= C----------------- BOUNDARY CONDITIONS C------ ON OUTER BOUNDARY: DIRICHLET ----> POTENTIAL(POUTER) = 0 C------ ON INNER BOUNDARY: NEUMANN ------> POTENTIAL DERIVATIVE = BINNER C---------- B INTO DOMAIN -----> THE VALUE IS NEGATIVE C---------- B OUT FROM DOMAIN -----> THE VALUE IS POSITIVE Q = 1.D0 POUTER = 0.D0 BINNER = -Q/(2.D0*PI*RADIUSA) WRITE(*,*) 'NEUMANN BOUNDARY VALUE =', BINNER C======================================================================= C------------------- NORDAL COORDINATES CREATION C------------------------- OUTER ELEMENTS ------------- C-------------- FIRST SEGMENT STARTS FROM 0 TO PI/4 --------------- DX = RADIUSC/(2*NEOUTER) DY = RADIUSB/(2*NEOUTER) NODE = 0 DO I = 1 , 2*NEOUTER NODE = NODE + 1 XCOORD (NODE) = RADIUSC YCOORD (NODE) = DY * (I-1) END DO C-------------- SECOND SEGMENT STARTS FROM PI/4 TO PI/2 --------------- DO I = 1 , 2*NEOUTER NODE = NODE + 1 XCOORD (NODE) = RADIUSC - DX*(I-1) YCOORD (NODE) = RADIUSB END DO C-------------- THIRD SEGMENT STARTS FROM PI/2 TO (3/4)PI --------------- DO I = 1 , 2*NEOUTER NODE = NODE + 1 XCOORD (NODE) = -DX*(I-1) YCOORD (NODE) = RADIUSB END DO C-------------- 4TH SEGMENT STARTS FROM (3/4)PI TO PI --------------- DO I = 1 , 2*NEOUTER NODE = NODE + 1 XCOORD (NODE) = -RADIUSC YCOORD (NODE) = RADIUSB - DY*(I-1) END DO C-------------- 5TH SEGMENT STARTS FROM PI TO (5/4)PI --------------- DO I = 1 , 2*NEOUTER NODE = NODE + 1 XCOORD (NODE) = -RADIUSC YCOORD (NODE) = -DY*(I-1) END DO C-------------- 6TH SEGMENT STARTS FROM (5/4)PI TO (6/4)PI --------------- DO I = 1 , 2*NEOUTER NODE = NODE + 1 XCOORD (NODE) = -RADIUSC + DX*(I-1) YCOORD (NODE) = -RADIUSB END DO C-------------- 7TH SEGMENT STARTS FROM (6/4)PI TO (7/4)PI --------------- DO I = 1 , 2*NEOUTER NODE = NODE + 1 XCOORD (NODE) = DX*(I-1) YCOORD (NODE) = -RADIUSB END DO C-------------- 8TH SEGMENT STARTS FROM (6/4)PI TO (7/4)PI --------------- DO I = 1 , 2*NEOUTER NODE = NODE + 1 XCOORD (NODE) = RADIUSC YCOORD (NODE) = -RADIUSB + DY*(I-1) END DO C------------ INNER ELEMENTS ------------- BASEVEC = DCMPLX( RADIUSA, 0.D0 ) UNITANG = -2.D0*PI / (2*NEINNER) UNITVEC = DCMPLX( DCOS(UNITANG), DSIN(UNITANG) ) DO I = 1 , 2*NEINNER NODE = NODE + 1 XCOORD (NODE) = DREAL( BASEVEC ) YCOORD (NODE) = DIMAG( BASEVEC ) BASEVEC = BASEVEC * UNITVEC END DO C======================================================================= C ELEMENT CREATION C----------- OUTER ELENENTS ----------- C----------- DIRICHLET BOUNDARY CONDITION --------- DO I = 1 , 8*NEOUTER II = I*2-1 JJ = II + 1 KK = JJ + 1 IF ( I .EQ. 8*NEOUTER ) KK = 1 NODEX(I,1) = II NODEX(I,2) = JJ NODEX(I,3) = KK BV(I,1) = POUTER BV(I,2) = POUTER BV(I,3) = POUTER IELTYPE(I) = 1 END DO C---------- INNER ELEMENTS --------------- C---------- NEUMANN BOUNDARY CONDITION ------------ DO I = 1+8*NEOUTER , NEINNER+8*NEOUTER II = I*2-1 JJ = II + 1 KK = JJ + 1 IF ( I .EQ. NEINNER+8*NEOUTER ) KK = (1+8*NEOUTER)*2-1 NODEX(I,1) = II NODEX(I,2) = JJ NODEX(I,3) = KK BV(I,1) = BINNER BV(I,2) = BINNER BV(I,3) = BINNER IELTYPE(I) = 2 END DO C======================================================================= NE = NEINNER+8*NEOUTER NNODE = NODE C======================================================================= C--------INTERNAL POINTS NIP = 20 DR = (RADIUSB - RADIUSA) / (NIP+1) DO I = 1 , NIP YI(I) = 0.D0 XI(I) = RADIUSA + DR*I END DO C======================================================================= C MAKING DATA FILES OPEN ( 1, FILE='BEM2.DAT', STATUS='UNKNOWN' ) WRITE (1,*) NE DO I = 1 , NE WRITE (1,*) I,(NODEX(I,J),J=1,ND),IELTYPE(I), (BV(I,J),J=1,ND) END DO WRITE (1,*) NNODE DO I = 1 , NNODE WRITE (1,*) I, XCOORD(I), YCOORD(I) END DO C------ INTERNAL POINT WRITE(1,*) NIP IF ( NIP .GE. 1 ) THEN DO I = 1 , NIP WRITE(1,*) I, XI(I), YI(I) END DO END IF CLOSE (1) WRITE(*,*) 'NE=',NE WRITE(*,*) 'NNODE=',NNODE C------------- BOUNDARY configuration OPEN ( 2, FILE='BOUNDARY.DAT', STATUS='UNKNOWN' ) DO IEL = 1 , NE WRITE (2,*) XCOORD(NODEX(IEL,1)), YCOORD(NODEX(IEL,1)) WRITE (2,*) XCOORD(NODEX(IEL,2)), YCOORD(NODEX(IEL,2)) WRITE (2,*) XCOORD(NODEX(IEL,3)), YCOORD(NODEX(IEL,3)) WRITE (2,*) END DO CLOSE (2) STOP END