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genxyz.f
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c-----------------------------------------------------------------------
subroutine arcsrf(xml,yml,zml,nxl,nyl,nzl,ie,isid)
include 'SIZE'
include 'GEOM'
include 'INPUT'
include 'TOPOL'
include 'WZ'
C
C ....note..... CTMP1 is used in this format in several subsequent routines
C
COMMON /CTMP1/ H(LX1,3,2),XCRVED(LX1),YCRVED(LY1),ZCRVED(LZ1)
$ , ZGML(LX1,3),WORK(3,LX1,LZ1)
DIMENSION XML(NXL,NYL,NZL,1),YML(NXL,NYL,NZL,1),ZML(NXL,NYL,NZL,1)
LOGICAL IFGLJ
C
IFGLJ = .FALSE.
IF (IFAXIS .AND. IFRZER(IE) .AND. (ISID.EQ.2 .OR. ISID.EQ.4))
$IFGLJ = .TRUE.
C
PT1X = XC(ISID,IE)
PT1Y = YC(ISID,IE)
IF(ISID.EQ.4) THEN
PT2X = XC(1,IE)
PT2Y = YC(1,IE)
ELSE IF(ISID.EQ.8) THEN
PT2X = XC(5,IE)
PT2Y = YC(5,IE)
ELSE
PT2X = XC(ISID+1,IE)
PT2Y = YC(ISID+1,IE)
ENDIF
C
C Find slope of perpendicular
RADIUS=CURVE(1,ISID,IE)
GAP=SQRT( (PT1X-PT2X)**2 + (PT1Y-PT2Y)**2 )
IF (ABS(2.0*RADIUS).LE.GAP*1.00001) THEN
write(6,10) RADIUS,ISID,IE,GAP
10 FORMAT(//,2X,'ERROR: Too small a radius (',G11.3
$ ,') specified for side',I2,' of element',I4,': '
$ ,G11.3,/,2X,'ABORTING during mesh generation.')
call exitt
ENDIF
XS = PT2Y-PT1Y
YS = PT1X-PT2X
C Make length Radius
XYS=SQRT(XS**2+YS**2)
C Find Center
DTHETA = ABS(ASIN(0.5*GAP/RADIUS))
PT12X = (PT1X + PT2X)/2.0
PT12Y = (PT1Y + PT2Y)/2.0
XCENN = PT12X - XS/XYS * RADIUS*COS(DTHETA)
YCENN = PT12Y - YS/XYS * RADIUS*COS(DTHETA)
THETA0 = ATAN2((PT12Y-YCENN),(PT12X-XCENN))
IF (IFGLJ) THEN
FAC = SIGN(1.0,RADIUS)
THETA1 = THETA0 - FAC*DTHETA
THETA2 = THETA0 + FAC*DTHETA
ENDIF
C Compute perturbation of geometry
ISID1 = MOD1(ISID,4)
IF (IFGLJ) THEN
I1 = ISID/2
I2 = 2 - ISID/4
DO 15 IY=1,NYL
ANG = H(IY,2,I1)*THETA1 + H(IY,2,I2)*THETA2
XCRVED(IY)=XCENN + ABS(RADIUS)*COS(ANG)
$ - (H(IY,2,I1)*PT1X + H(IY,2,I2)*PT2X)
YCRVED(IY)=YCENN + ABS(RADIUS) * SIN(ANG)
$ - (H(IY,2,I1)*PT1Y + H(IY,2,I2)*PT2Y)
15 CONTINUE
ELSE
DO 20 IX=1,NXL
IXT=IX
IF (ISID1.GT.2) IXT=NXL+1-IX
R=ZGML(IX,1)
IF (RADIUS.LT.0.0) R=-R
XCRVED(IXT) = XCENN + ABS(RADIUS) * COS(THETA0 + R*DTHETA)
$ - ( H(IX,1,1)*PT1X + H(IX,1,2)*PT2X )
YCRVED(IXT) = YCENN + ABS(RADIUS) * SIN(THETA0 + R*DTHETA)
$ - ( H(IX,1,1)*PT1Y + H(IX,1,2)*PT2Y )
20 CONTINUE
ENDIF
C Points all set, add perturbation to current mesh.
ISID1 = MOD1(ISID,4)
ISID1 = EFACE1(ISID1)
IZT = (ISID-1)/4+1
IYT = ISID1-2
IXT = ISID1
IF (ISID1.LE.2) THEN
CALL ADDTNSR(XML(1,1,1,IE),H(1,1,IXT),XCRVED,H(1,3,IZT)
$ ,NXL,NYL,NZL)
CALL ADDTNSR(YML(1,1,1,IE),H(1,1,IXT),YCRVED,H(1,3,IZT)
$ ,NXL,NYL,NZL)
ELSE
CALL ADDTNSR(XML(1,1,1,IE),XCRVED,H(1,2,IYT),H(1,3,IZT)
$ ,NXL,NYL,NZL)
CALL ADDTNSR(YML(1,1,1,IE),YCRVED,H(1,2,IYT),H(1,3,IZT)
$ ,NXL,NYL,NZL)
ENDIF
return
end
c-----------------------------------------------------------------------
subroutine defsrf(xml,yml,zml,nxl,nyl,nzl,ie,iface1,ccv)
include 'SIZE'
include 'TOPOL'
include 'GEOM'
include 'WZ'
COMMON /CTMP1/ H(LX1,3,2),XCRVED(LX1),YCRVED(LY1),ZCRVED(LZ1)
$ , ZGML(LX1,3),WORK(3,LX1,LZ1)
C
DIMENSION XML(NXL,NYL,NZL,1),YML(NXL,NYL,NZL,1),ZML(NXL,NYL,NZL,1)
DIMENSION X1(3),X2(3),X3(3),DX(3)
DIMENSION IOPP(3),NXX(3)
CHARACTER*1 CCV
C
CALL DSSET(NXL,NYL,NZL)
IFACE = EFACE1(IFACE1)
JS1 = SKPDAT(1,IFACE)
JF1 = SKPDAT(2,IFACE)
JSKIP1 = SKPDAT(3,IFACE)
JS2 = SKPDAT(4,IFACE)
JF2 = SKPDAT(5,IFACE)
JSKIP2 = SKPDAT(6,IFACE)
C
IOPP(1) = NXL-1
IOPP(2) = NXL*(NYL-1)
IOPP(3) = NXL*NYL*(NZL-1)
NXX(1) = NXL
NXX(2) = NYL
NXX(3) = NZL
IDIR = 2*MOD(IFACE,2) - 1
IFC2 = (IFACE+1)/2
DELT = 0.0
C DELT = SIDE(4,IFACE,IE)
C
C Compute surface deflection and perturbation due to face IFACE
C
DO 200 J2=JS2,JF2,JSKIP2
DO 200 J1=JS1,JF1,JSKIP1
JOPP = J1 + IOPP(IFC2)*IDIR
X2(1) = XML(J1,J2,1,IE)
X2(2) = YML(J1,J2,1,IE)
X2(3) = ZML(J1,J2,1,IE)
X1(1) = XML(JOPP,J2,1,IE)
X1(2) = YML(JOPP,J2,1,IE)
X1(3) = ZML(JOPP,J2,1,IE)
CALL INTRSC(X3,X2,X1,DELT,IE,IFACE1)
C
DX(1) = X3(1)-X2(1)
DX(2) = X3(2)-X2(2)
DX(3) = X3(3)-X2(3)
C
NXS = NXX(IFC2)
JOFF = (J1-JOPP)/(NXS-1)
DO 100 IX = 2,NXS
J = JOPP + JOFF*(IX-1)
ZETA = 0.5*(ZGML(IX,IFC2) + 1.0)
XML(J,J2,1,IE) = XML(J,J2,1,IE)+DX(1)*ZETA
YML(J,J2,1,IE) = YML(J,J2,1,IE)+DX(2)*ZETA
ZML(J,J2,1,IE) = ZML(J,J2,1,IE)+DX(3)*ZETA
100 CONTINUE
200 CONTINUE
C
return
end
c-----------------------------------------------------------------------
subroutine intrsc(x3,x2,x1,delt,ie,iface)
C
DIMENSION X1(3),X2(3),X3(3)
COMMON /SRFCEI/ IEL,IFCE
COMMON /SRFCER/ X0(3),DX(3)
COMMON /SRFCEL/ SUCCES
LOGICAL SUCCES
COMMON /TOLRNC/ TOL
C
C Load parameters for surface function FNC
C
IEL = IE
IFCE = IFACE
X0(1) = X1(1)
X0(2) = X1(2)
X0(3) = X1(3)
DX(1) = X2(1)-X1(1)
DX(2) = X2(2)-X1(2)
DX(3) = X2(3)-X1(3)
DIST = SQRT ( DX(1)**2 + DX(2)**2 + DX(3)**2 )
C
C Initial guess for bracket is given by size of element face (DELT).
C
ETA2 = 1.0
ETA1 = ETA2 - DELT/DIST
ETA1 = MAX(ETA1,0.0)
CALL ZBRAC(ETA1,ETA2,SUCCES)
C
TOL = 1.0E-5
TOLSRF = TOL*(ETA2-ETA1)
IF (SUCCES) ETA3 = ZBRENT(ETA1,ETA2,TOLSRF)
C
X3(1) = X0(1) + DX(1)*ETA3
X3(2) = X0(2) + DX(2)*ETA3
X3(3) = X0(3) + DX(3)*ETA3
C
return
end
c-----------------------------------------------------------------------
subroutine zbrac(x1,x2,succes)
C
C Given a function FNC and an initial guess (X1,X2), the routine
C expands the range geometrically until a root is bracketed by the
C returned range (X1,X2) [SUCCES=.TRUE.], or until the range becomes
C unacceptably large [SUCCES=.FALSE.].
C ( Numerical Recipes, p. 245; pff 9 Aug 1989 09:00:20 )
C
PARAMETER (FACTOR=1.08,NTRY=50)
LOGICAL SUCCES
C
SUCCES = .TRUE.
C
IF (X1.EQ.X2) X1 = .99*X1
IF (X1.EQ.0.0) X1 = 1.0E-04
C
F1 = FNC(X1)
F2 = FNC(X2)
DO 100 J=1,NTRY
IF (F1*F2.LT.0.0) return
IF (ABS(F1).LT.ABS(F2)) THEN
X1 = X1 + FACTOR*(X1-X2)
F1 = FNC(X1)
ELSE
X2 = X2 + FACTOR*(X2-X1)
F2 = FNC(X2)
ENDIF
100 CONTINUE
SUCCES = .FALSE.
return
end
FUNCTION ZBRENT(X1,X2,TOL)
C
C Using the Van Wijngaarden-Dekker-Brent Method, find the root
C of a function FNC known to lie between X1 and X2. The root,
C returned as ZBRENT, will be refined until its accuracy is TOL.
C
PARAMETER (ITMAX=100,EPS=3.0E-8)
C
A = X1
B = X2
FA = FNC(A)
FB = FNC(B)
IF (FB*FA.GT.0.0) GOTO 9000
FC=FB
C
DO 1000 ITER=1,ITMAX
IF (FB*FC.GT.0.0) THEN
C = A
FC = FA
D = B-A
E = D
ENDIF
IF (ABS(FC).LT.ABS(FB)) THEN
A = B
B = C
C = A
FA = FB
FB = FC
FC = FA
ENDIF
TOL1 = 2.0*EPS*ABS(B)+0.5*TOL
XM = 0.5*(C-B)
IF (ABS(XM).LE.TOL1.OR.FB.EQ.0.0) THEN
ZBRENT = B
return
ENDIF
IF (ABS(E).GT.TOL1.AND. ABS(FA).GT.ABS(FB)) THEN
C
C Attempt inverse quadratic interpolation
C
S=FB/FA
IF (A.EQ.C) THEN
P=2.0*XM*S
Q=1.0-S
ELSE
Q=FA/FC
R=FB/FC
P=S*( 2.0*XM*Q*(Q-R) - (B-A)*(R-1.0) )
Q=(Q-1.0)*(R-1.0)*(S-1.0)
ENDIF
C
C Check whether in bounds...
C
IF (P.GT.0.0) Q = -Q
P = ABS(P)
IF (2.0*P.LT.MIN(3.0*XM*Q-ABS(TOL1*Q),ABS(E*Q))) THEN
C Accept interpolation.
E=D
D=P/Q
ELSE
C Interpolation failed, use bisection.
D=XM
E=D
ENDIF
ELSE
C Bounds decreasing too slowly, use bisection.
D=XM
E=D
ENDIF
A=B
FA=FB
IF (ABS(D).GT.TOL1) THEN
C Evaluate new trial root
B=B+D
ELSE
B=B+SIGN(TOL1,XM)
ENDIF
FB=FNC(B)
1000 CONTINUE
C
C
9000 CONTINUE
write(6 ,*) 'Exceeding maximum number of iterations.'
C WRITE(21,*) 'Exceeding maximum number of iterations.'
ZBRENT=B
return
end
FUNCTION FNC(ETA)
include 'SIZE'
include 'INPUT'
COMMON /SRFCEI/ IEL,IFCE
COMMON /SRFCER/ X0(3),DX(3)
COMMON /SRFCEL/ SUCCES
DIMENSION X3(3)
integer icalld
save icalld
data icalld /0/
C
IF (CCURVE(IFCE,IEL).EQ.'s') THEN
xctr = CURVE(1,IFCE,IEL)
yctr = CURVE(2,IFCE,IEL)
zctr = CURVE(3,IFCE,IEL)
RADIUS = CURVE(4,IFCE,IEL)
X = X0(1) + DX(1)*ETA - XCTR
Y = X0(2) + DX(2)*ETA - YCTR
Z = X0(3) + DX(3)*ETA - ZCTR
C
FNC = (RADIUS**2 - (X**2+Y**2+Z**2))/(RADIUS**2)
C
ENDIF
C
return
end
c-----------------------------------------------------------------------
subroutine setdef
C-------------------------------------------------------------------
C
C Set up deformed element logical switches
C
C-------------------------------------------------------------------
include 'SIZE'
include 'INPUT'
DIMENSION XCC(8),YCC(8),ZCC(8)
DIMENSION INDX(8)
REAL VEC(3,12)
LOGICAL IFVCHK
C
COMMON /FASTMD/ IFDFRM(LELT), IFFAST(LELT), IFH2, IFSOLV
LOGICAL IFDFRM, IFFAST, IFH2, IFSOLV
C
C Corner notation:
C
C 4+-----+3 ^ Y
C / /| |
C / / | |
C 8+-----+7 +2 +----> X
C | | / /
C | |/ /
C 5+-----+6 Z
C
C
DO 10 IE=1,NELT
IFDFRM(IE)=.TRUE.
10 CONTINUE
C
IF (IFMVBD) return
c
c Force IFDFRM=.true. for all elements (for timing purposes only)
c
IF (param(59).ne.0.and.nio.eq.0)
$ write(6,*) 'NOTE: All elements deformed , param(59) ^=0'
IF (param(59).ne.0) return
C
C Check against cases which won't allow for savings in HMHOLTZ
C
INDX(1)=1
INDX(2)=2
INDX(3)=4
INDX(4)=3
INDX(5)=5
INDX(6)=6
INDX(7)=8
INDX(8)=7
C
C Check for deformation (rotation is acceptable).
C
DO 500 IE=1,NELT
C
call rzero(vec,36)
IF (IF3D) THEN
DO 100 IEDG=1,8
IF(CCURVE(IEDG,IE).NE.' ') THEN
IFDFRM(IE)=.TRUE.
GOTO 500
ENDIF
100 CONTINUE
C
DO 105 I=1,8
XCC(I)=XC(INDX(I),IE)
YCC(I)=YC(INDX(I),IE)
ZCC(I)=ZC(INDX(I),IE)
105 CONTINUE
C
DO 110 I=1,4
VEC(1,I)=XCC(2*I)-XCC(2*I-1)
VEC(2,I)=YCC(2*I)-YCC(2*I-1)
VEC(3,I)=ZCC(2*I)-ZCC(2*I-1)
110 CONTINUE
C
I1=4
DO 120 I=0,1
DO 120 J=0,1
I1=I1+1
I2=4*I+J+3
VEC(1,I1)=XCC(I2)-XCC(I2-2)
VEC(2,I1)=YCC(I2)-YCC(I2-2)
VEC(3,I1)=ZCC(I2)-ZCC(I2-2)
120 CONTINUE
C
I1=8
DO 130 I=5,8
I1=I1+1
VEC(1,I1)=XCC(I)-XCC(I-4)
VEC(2,I1)=YCC(I)-YCC(I-4)
VEC(3,I1)=ZCC(I)-ZCC(I-4)
130 CONTINUE
C
DO 140 I=1,12
VECLEN = VEC(1,I)**2 + VEC(2,I)**2 + VEC(3,I)**2
VECLEN = SQRT(VECLEN)
VEC(1,I)=VEC(1,I)/VECLEN
VEC(2,I)=VEC(2,I)/VECLEN
VEC(3,I)=VEC(3,I)/VECLEN
140 CONTINUE
C
C Check the dot product of the adjacent edges to see that it is zero.
C
IFDFRM(IE)=.FALSE.
IF ( IFVCHK(VEC,1,5, 9) ) IFDFRM(IE)=.TRUE.
IF ( IFVCHK(VEC,1,6,10) ) IFDFRM(IE)=.TRUE.
IF ( IFVCHK(VEC,2,5,11) ) IFDFRM(IE)=.TRUE.
IF ( IFVCHK(VEC,2,6,12) ) IFDFRM(IE)=.TRUE.
IF ( IFVCHK(VEC,3,7, 9) ) IFDFRM(IE)=.TRUE.
IF ( IFVCHK(VEC,3,8,10) ) IFDFRM(IE)=.TRUE.
IF ( IFVCHK(VEC,4,7,11) ) IFDFRM(IE)=.TRUE.
IF ( IFVCHK(VEC,4,8,12) ) IFDFRM(IE)=.TRUE.
C
C Check the 2D case....
C
ELSE
C
DO 200 IEDG=1,4
IF(CCURVE(IEDG,IE).NE.' ') THEN
IFDFRM(IE)=.TRUE.
GOTO 500
ENDIF
200 CONTINUE
C
DO 205 I=1,4
XCC(I)=XC(INDX(I),IE)
YCC(I)=YC(INDX(I),IE)
205 CONTINUE
C
VEC(1,1)=XCC(2)-XCC(1)
VEC(1,2)=XCC(4)-XCC(3)
VEC(1,3)=XCC(3)-XCC(1)
VEC(1,4)=XCC(4)-XCC(2)
VEC(1,5)=0.0
VEC(2,1)=YCC(2)-YCC(1)
VEC(2,2)=YCC(4)-YCC(3)
VEC(2,3)=YCC(3)-YCC(1)
VEC(2,4)=YCC(4)-YCC(2)
VEC(2,5)=0.0
C
DO 220 I=1,4
VECLEN = VEC(1,I)**2 + VEC(2,I)**2
VECLEN = SQRT(VECLEN)
VEC(1,I)=VEC(1,I)/VECLEN
VEC(2,I)=VEC(2,I)/VECLEN
220 CONTINUE
C
C Check the dot product of the adjacent edges to see that it is zero.
C
IFDFRM(IE)=.FALSE.
IF ( IFVCHK(VEC,1,3,5) ) IFDFRM(IE)=.TRUE.
IF ( IFVCHK(VEC,1,4,5) ) IFDFRM(IE)=.TRUE.
IF ( IFVCHK(VEC,2,3,5) ) IFDFRM(IE)=.TRUE.
IF ( IFVCHK(VEC,2,4,5) ) IFDFRM(IE)=.TRUE.
ENDIF
500 CONTINUE
return
end
LOGICAL FUNCTION IFVCHK(VEC,I1,I2,I3)
C
C Take the dot product of the three components of VEC to see if it's zero.
C
DIMENSION VEC(3,12)
LOGICAL IFTMP
C
IFTMP=.FALSE.
EPSM=1.0E-06
C
DOT1=VEC(1,I1)*VEC(1,I2)+VEC(2,I1)*VEC(2,I2)+VEC(3,I1)*VEC(3,I2)
DOT2=VEC(1,I2)*VEC(1,I3)+VEC(2,I2)*VEC(2,I3)+VEC(3,I2)*VEC(3,I3)
DOT3=VEC(1,I1)*VEC(1,I3)+VEC(2,I1)*VEC(2,I3)+VEC(3,I1)*VEC(3,I3)
C
DOT1=ABS(DOT1)
DOT2=ABS(DOT2)
DOT3=ABS(DOT3)
DOT=DOT1+DOT2+DOT3
IF (DOT.GT.EPSM) IFTMP=.TRUE.
C
IFVCHK=IFTMP
return
end
c-----------------------------------------------------------------------
subroutine gencoor (xm3,ym3,zm3)
C-----------------------------------------------------------------------
C
C Generate xyz coordinates for all elements.
C Velocity formulation : mesh 3 is used
C Stress formulation : mesh 1 is used
C
C-----------------------------------------------------------------------
include 'SIZE'
include 'GEOM'
include 'INPUT'
DIMENSION XM3(LX3,LY3,LZ3,1),YM3(LX3,LY3,LZ3,1),ZM3(LX3,LY3,LZ3,1)
C
C Select appropriate mesh
C
IF ( IFGMSH3 ) THEN
CALL GENXYZ (XM3,YM3,ZM3,NX3,NY3,NZ3)
ELSE
CALL GENXYZ (XM1,YM1,ZM1,NX1,NY1,NZ1)
ENDIF
C
return
end
c-----------------------------------------------------------------------
subroutine genxyz (xml,yml,zml,nxl,nyl,nzl)
C
include 'SIZE'
include 'WZ'
include 'GEOM'
include 'TOPOL'
include 'INPUT'
include 'PARALLEL'
real xml(nxl,nyl,nzl,1),yml(nxl,nyl,nzl,1),zml(nxl,nyl,nzl,1)
C Note : CTMP1 is used in this format in several subsequent routines
common /ctmp1/ h(lx1,3,2),xcrved(lx1),ycrved(ly1),zcrved(lz1)
$ , zgml(lx1,3),work(3,lx1,lz1)
parameter (ldw=2*lx1*ly1*lz1)
common /ctmp0/ w(ldw)
character*1 ccv
#ifdef MOAB
c already read/initialized vertex positions
if (ifmoab) return
#endif
c Initialize geometry arrays with bi- triquadratic deformations
call linquad(xml,yml,zml,nxl,nyl,nzl)
do ie=1,nelt
call setzgml (zgml,ie,nxl,nyl,nzl,ifaxis)
call sethmat (h,zgml,nxl,nyl,nzl)
c Deform surfaces - general 3D deformations
c - extruded geometry deformations
nfaces = 2*ndim
do iface=1,nfaces
ccv = ccurve(iface,ie)
if (ccv.eq.'s')
$ call sphsrf(xml,yml,zml,iface,ie,nxl,nyl,nzl,work)
if (ccv.eq.'e')
$ call gensrf(xml,yml,zml,iface,ie,nxl,nyl,nzl,zgml)
enddo
do isid=1,8
ccv = ccurve(isid,ie)
if (ccv.eq.'C') call arcsrf(xml,yml,zml,nxl,nyl,nzl,ie,isid)
enddo
enddo
c call user_srf(xml,yml,zml,nxl,nyl,nzl)
c call opcopy(xm1,ym1,zm1,xml,yml,zml)
c call outpost(xml,yml,zml,xml,yml,' ')
c call exitt
C
return
end
c-----------------------------------------------------------------------
subroutine sethmat(h,zgml,nxl,nyl,nzl)
include 'SIZE'
include 'INPUT' ! if3d
real h(lx1,3,2),zgml(lx1,3)
do 10 ix=1,nxl
h(ix,1,1)=(1.0-zgml(ix,1))*0.5
h(ix,1,2)=(1.0+zgml(ix,1))*0.5
10 continue
do 20 iy=1,nyl
h(iy,2,1)=(1.0-zgml(iy,2))*0.5
h(iy,2,2)=(1.0+zgml(iy,2))*0.5
20 continue
if (if3d) then
do 30 iz=1,nzl
h(iz,3,1)=(1.0-zgml(iz,3))*0.5
h(iz,3,2)=(1.0+zgml(iz,3))*0.5
30 continue
else
call rone(h(1,3,1),nzl)
call rone(h(1,3,2),nzl)
endif
return
end
c-----------------------------------------------------------------------
subroutine setzgml (zgml,e,nxl,nyl,nzl,ifaxl)
include 'SIZE'
include 'WZ'
include 'GEOM'
real zgml(lx1,3)
integer e
logical ifaxl
call rzero (zgml,3*nx1)
if (nxl.eq.3 .and. .not. ifaxl) then
do k=1,3
zgml(1,k) = -1
zgml(2,k) = 0
zgml(3,k) = 1
enddo
elseif (ifgmsh3.and.nxl.eq.nx3) then
call copy(zgml(1,1),zgm3(1,1),nx3)
call copy(zgml(1,2),zgm3(1,2),ny3)
call copy(zgml(1,3),zgm3(1,3),nz3)
if (ifaxl .and. ifrzer(e)) call copy(zgml(1,2),zam3,ny3)
elseif (nxl.eq.nx1) then
call copy(zgml(1,1),zgm1(1,1),nx1)
call copy(zgml(1,2),zgm1(1,2),ny1)
call copy(zgml(1,3),zgm1(1,3),nz1)
if (ifaxl .and. ifrzer(e)) call copy(zgml(1,2),zam1,ny1)
else
call exitti('ABORT setzgml! $',nxl)
endif
return
end
c-----------------------------------------------------------------------
subroutine sphsrf(xml,yml,zml,ifce,ie,nx,ny,nz,xysrf)
C
C 5 Aug 1988 19:29:52
C
C Program to generate spherical shell elements for NEKTON
C input. Paul F. Fischer
C
include 'SIZE'
include 'INPUT'
include 'WZ'
include 'TOPOL'
DIMENSION XML(NX,NY,NZ,1),YML(NX,NY,NZ,1),ZML(NX,NY,NZ,1)
DIMENSION XYSRF(3,NX,NZ)
C
COMMON /CTMP1/ H(LX1,3,2),XCRVED(LX1),YCRVED(LY1),ZCRVED(LZ1)
$ , ZGML(LX1,3),WORK(3,LX1,LZ1)
COMMON /CTMP0/ XCV(3,2,2),VN1(3),VN2(3)
$ ,X1(3),X2(3),X3(3),DX(3)
DIMENSION IOPP(3),NXX(3)
c
c
c These are representative nodes on a given face, and their opposites
c
integer cface(2,6)
save cface
data cface / 1,4 , 2,1 , 3,2 , 4,3 , 1,5 , 5,1 /
real vout(3),vsph(3)
logical ifconcv
c
C
C Determine geometric parameters
C
NXM1 = NX-1
NYM1 = NY-1
NXY = NX*NZ
NXY3 = 3*NX*NZ
XCTR = CURVE(1,IFCE,IE)
YCTR = CURVE(2,IFCE,IE)
ZCTR = CURVE(3,IFCE,IE)
RADIUS = CURVE(4,IFCE,IE)
IFACE = EFACE1(IFCE)
C
C Generate (normalized) corner vectors XCV(1,i,j):
C
CALL CRN3D(XCV,XC(1,IE),YC(1,IE),ZC(1,IE),CURVE(1,IFCE,IE),IFACE)
C
C Generate edge vectors on the sphere RR=1.0,
C for (r,s) = (-1,*),(1,*),(*,-1),(*,1)
C
CALL EDG3D(XYSRF,XCV(1,1,1),XCV(1,1,2), 1, 1, 1,NY,NX,NY)
CALL EDG3D(XYSRF,XCV(1,2,1),XCV(1,2,2),NX,NX, 1,NY,NX,NY)
CALL EDG3D(XYSRF,XCV(1,1,1),XCV(1,2,1), 1,NX, 1, 1,NX,NY)
CALL EDG3D(XYSRF,XCV(1,1,2),XCV(1,2,2), 1,NX,NY,NY,NX,NY)
C
C Generate intersection vectors for (i,j)
C
C quick check on sign of curvature: (pff , 12/08/00)
c
c
ivtx = cface(1,ifce)
ivto = cface(2,ifce)
vout(1) = xc(ivtx,ie)-xc(ivto,ie)
vout(2) = yc(ivtx,ie)-yc(ivto,ie)
vout(3) = zc(ivtx,ie)-zc(ivto,ie)
c
vsph(1) = xc(ivtx,ie)-xctr
vsph(2) = yc(ivtx,ie)-yctr
vsph(3) = zc(ivtx,ie)-zctr
ifconcv = .true.
sign = DOT(vsph,vout,3)
if (sign.gt.0) ifconcv = .false.
c write(6,*) 'THIS IS SIGN:',sign
c
DO 200 J=2,NYM1
CALL CROSS(VN1,XYSRF(1,1,J),XYSRF(1,NX,J))
DO 200 I=2,NXM1
CALL CROSS(VN2,XYSRF(1,I,1),XYSRF(1,I,NY))
if (ifconcv) then
c IF (IFACE.EQ.1.OR.IFACE.EQ.4.OR.IFACE.EQ.5) THEN
CALL CROSS(XYSRF(1,I,J),VN2,VN1)
ELSE
CALL CROSS(XYSRF(1,I,J),VN1,VN2)
ENDIF
200 CONTINUE
C
C Normalize all vectors to the unit sphere.
C
DO 300 I=1,NXY
CALL NORM3D(XYSRF(1,I,1))
300 CONTINUE
C
C Scale by actual radius
C
CALL CMULT(XYSRF,RADIUS,NXY3)
C
C Add back the sphere center offset
C
DO 400 I=1,NXY
XYSRF(1,I,1)=XYSRF(1,I,1)+XCTR
XYSRF(2,I,1)=XYSRF(2,I,1)+YCTR
XYSRF(3,I,1)=XYSRF(3,I,1)+ZCTR
400 CONTINUE
C
C
C Transpose data, if necessary
C
IF (IFACE.EQ.1.OR.IFACE.EQ.4.OR.IFACE.EQ.5) THEN
DO 500 J=1 ,NY
DO 500 I=J+1,NX
TMP=XYSRF(1,I,J)
XYSRF(1,I,J)=XYSRF(1,J,I)
XYSRF(1,J,I)=TMP
TMP=XYSRF(2,I,J)
XYSRF(2,I,J)=XYSRF(2,J,I)
XYSRF(2,J,I)=TMP
TMP=XYSRF(3,I,J)
XYSRF(3,I,J)=XYSRF(3,J,I)
XYSRF(3,J,I)=TMP
500 CONTINUE
ENDIF
C
C Compute surface deflection and perturbation due to face IFACE
C
CALL DSSET(NX,NY,NZ)
JS1 = SKPDAT(1,IFACE)
JF1 = SKPDAT(2,IFACE)
JSKIP1 = SKPDAT(3,IFACE)
JS2 = SKPDAT(4,IFACE)
JF2 = SKPDAT(5,IFACE)
JSKIP2 = SKPDAT(6,IFACE)
C
IOPP(1) = NX-1
IOPP(2) = NX*(NY-1)
IOPP(3) = NX*NY*(NZ-1)
NXX(1) = NX
NXX(2) = NY
NXX(3) = NZ
IDIR = 2*MOD(IFACE,2) - 1
IFC2 = (IFACE+1)/2
DELT = 0.0
I=0
DO 700 J2=JS2,JF2,JSKIP2
DO 700 J1=JS1,JF1,JSKIP1
I=I+1
JOPP = J1 + IOPP(IFC2)*IDIR
X2(1) = XML(J1,J2,1,IE)
X2(2) = YML(J1,J2,1,IE)
X2(3) = ZML(J1,J2,1,IE)
C
DX(1) = XYSRF(1,I,1)-X2(1)
DX(2) = XYSRF(2,I,1)-X2(2)
DX(3) = XYSRF(3,I,1)-X2(3)
C
NXS = NXX(IFC2)
JOFF = (J1-JOPP)/(NXS-1)
DO 600 IX = 2,NXS
J = JOPP + JOFF*(IX-1)
ZETA = 0.5*(ZGML(IX,IFC2) + 1.0)
XML(J,J2,1,IE) = XML(J,J2,1,IE)+DX(1)*ZETA
YML(J,J2,1,IE) = YML(J,J2,1,IE)+DX(2)*ZETA
ZML(J,J2,1,IE) = ZML(J,J2,1,IE)+DX(3)*ZETA
600 CONTINUE
700 CONTINUE
C
return
end
c-----------------------------------------------------------------------
subroutine edg3d(xysrf,x1,x2,i1,i2,j1,j2,nx,ny)
C
C Generate XYZ vector along an edge of a surface.
C
include 'SIZE'
COMMON /CTMP1/ H(LX1,3,2),XCRVED(LX1),YCRVED(LY1),ZCRVED(LZ1)
$ , ZGML(LX1,3),WORK(3,LX1,LZ1)
C
DIMENSION XYSRF(3,NX,NY)
DIMENSION X1(3),X2(3)
REAL U1(3),U2(3),VN(3),B(3)
C
C Normalize incoming vectors
C
CALL COPY (U1,X1,3)
CALL COPY (U2,X2,3)
CALL NORM3D (U1)
CALL NORM3D (U2)
C
C Find normal to the plane and tangent to the curve.
C
CALL CROSS(VN,X1,X2)
CALL CROSS( B,VN,X1)
CALL NORM3D (VN)
CALL NORM3D (B)
C
CTHETA = DOT(U1,U2,3)
THETA = ACOS(CTHETA)
C
IJ = 0
DO 200 J=J1,J2
DO 200 I=I1,I2
IJ = IJ + 1
THETAP = 0.5*THETA*(ZGML(IJ,1)+1.0)
CTP = COS(THETAP)
STP = SIN(THETAP)
DO 200 IV = 1,3
XYSRF(IV,I,J) = CTP*U1(IV) + STP*B(IV)
200 CONTINUE
return
end
REAL FUNCTION DOT(V1,V2,N)
C
C Compute Cartesian vector dot product.
C
DIMENSION V1(N),V2(N)
C
SUM = 0
DO 100 I=1,N
SUM = SUM + V1(I)*V2(I)
100 CONTINUE
DOT = SUM
return
end
c-----------------------------------------------------------------------
subroutine cross(v1,v2,v3)
C
C Compute Cartesian vector dot product.
C
DIMENSION V1(3),V2(3),V3(3)
C
V1(1) = V2(2)*V3(3) - V2(3)*V3(2)
V1(2) = V2(3)*V3(1) - V2(1)*V3(3)
V1(3) = V2(1)*V3(2) - V2(2)*V3(1)
C
return
end
c-----------------------------------------------------------------------
subroutine norm3d(v1)
C
C Compute Cartesian vector dot product.
C
DIMENSION V1(3)
C
VLNGTH = DOT(V1,V1,3)
VLNGTH = SQRT(VLNGTH)
if (vlngth.gt.0) then
V1(1) = V1(1) / VLNGTH
V1(2) = V1(2) / VLNGTH
V1(3) = V1(3) / VLNGTH
endif
C
return
end
c-----------------------------------------------------------------------
subroutine crn3d(xcv,xc,yc,zc,curve,iface)
include 'SIZE'
include 'TOPOL'
DIMENSION XCV(3,2,2),XC(8),YC(8),ZC(8),CURVE(4)
DIMENSION INDVTX(4,6)
SAVE INDVTX
DATA INDVTX / 1,5,3,7 , 2,4,6,8 , 1,2,5,6
$ , 3,7,4,8 , 1,3,2,4 , 5,6,7,8 /
C
EPS = 1.0E-4
XCTR = CURVE(1)
YCTR = CURVE(2)
ZCTR = CURVE(3)
RADIUS = CURVE(4)
C
DO 10 I=1,4
J=INDVTX(I,IFACE)
K=INDX(J)
XCV(1,I,1)=XC(K)-XCTR
XCV(2,I,1)=YC(K)-YCTR
XCV(3,I,1)=ZC(K)-ZCTR
10 CONTINUE
C
C Check to ensure that these points are indeed on the sphere.
C
IF (RADIUS.LE.0.0) THEN
write(6,20) NID,XCTR,YCTR,ZCTR,IFACE
20 FORMAT(I5,'ERROR: Sphere of radius zero requested.'
$ ,/,5X,'EXITING in CRN3D',3E12.4,I3)
call exitt
ELSE
DO 40 I=1,4
RADT=XCV(1,I,1)**2+XCV(2,I,1)**2+XCV(3,I,1)**2
RADT=SQRT(RADT)
TEST=ABS(RADT-RADIUS)/RADIUS
IF (TEST.GT.EPS) THEN
write(6,30) NID
$ ,RADT,RADIUS,XCV(1,I,1),XCV(2,I,1),XCV(3,I,1)
30 FORMAT(I5,'ERROR: Element vertex not on requested sphere.'
$ ,/,5X,'EXITING in CRN3D',5E12.4)
call exitt
ENDIF
40 CONTINUE
ENDIF
C
return
end
c-----------------------------------------------------------------------
subroutine rotxyz
C-----------------------------------------------------------------------
C
C Establish rotation of undeformed elements.
C Used for fast evaluation of D*x and DT*x.
C Currently used for 2-d problems.
C
C-----------------------------------------------------------------------
include 'SIZE'
include 'INPUT'
include 'GEOM'
include 'ESOLV'
COMMON /FASTMD/ IFDFRM(LELT), IFFAST(LELT), IFH2, IFSOLV
LOGICAL IFDFRM, IFFAST, IFH2, IFSOLV
C
IF (IFMVBD) return
IF (NDIM.EQ.3) return
C
EPS = 1.E-6
EPSINV = 1./EPS