dsrc2c.f90

河口模型 使用模拟盐水入侵、热量扩散等等 河口模型 使用模拟盐水入侵、热量扩散

  130 IF (LEVEL.GE.2) WRITE (NOUT,140) NB       
  140 FORMAT (/10X,'ORDER OF BLACK SUBSYSTEM = ',I5,' (NB)')
      CALL PERMAT (N,IA,JA,A,IWKSP,IWKSP(IB3),ISYM,LEVEL,NOUT,IER)  
      IF (IER.EQ.0) GO TO 160 
      IF (LEVEL.GE.0) WRITE (NOUT,150) IER      
  150 FORMAT ('0','*** F A T A L     E R R O R ************'/'0',   &
     &   '    CALLED FROM ITPACK ROUTINE SOR '/' ',       &
     &   '    ERROR DETECTED IN SUBROUTINE  PERMAT'/' ',  &
     &   '    WHICH DOES THE RED-BLACK PERMUTATION'/' ','    IER = ',I5)
      GO TO 360   
  160 CALL PERVEC (N,RHS,IWKSP)       
      CALL PERVEC (N,U,IWKSP) 
!       
! ... SCALE LINEAR SYSTEM, U, AND RHS BY THE SQUARE ROOT OF THE     
! ... DIAGONAL ELEMENTS.    
!       
  170 CONTINUE    
      CALL VFILL (IPARM(8),WKSP,0.0D0)
      CALL SCAL (N,IA,JA,A,RHS,U,WKSP,LEVEL,NOUT,IER)     
      IF (IER.EQ.0) GO TO 190 
      IF (LEVEL.GE.0) WRITE (NOUT,180) IER      
  180 FORMAT ('0','*** F A T A L     E R R O R ************'/'0',   &
     &   '    CALLED FROM ITPACK ROUTINE SOR '/' ',       &
     &   '    ERROR DETECTED IN SUBROUTINE  SCAL  '/' ',  &
     &   '    WHICH SCALES THE SYSTEM   '/' ','    IER = ',I5)      
      GO TO 360   
  190 IF (LEVEL.LE.2) GO TO 220       
      IF (ADAPT) WRITE (NOUT,200)     
  200 FORMAT (///1X,'CME IS THE ESTIMATE OF THE LARGEST EIGENVALUE OF', &
     &   ' THE JACOBI MATRIX')
      WRITE (NOUT,210)      
  210 FORMAT (1X,'OMEGA IS THE RELAXATION FACTOR')
  220 IF (IPARM(11).NE.0) GO TO 230   
      TIMI1 = TIMER(DUMMY)  
!       
! ... ITERATION SEQUENCE    
!       
  230 ITMAX1 = ITMAX+1      
      DO 240 LOOP = 1,ITMAX1
         IN = LOOP-1
!       
! ... CODE FOR ONE ITERATION. 
!       
!     U           = U(IN)   
!       
         CALL ITSOR (N,IA,JA,A,RHS,U,WKSP(IB1)) 
!       
         IF (HALT) GO TO 270
  240 CONTINUE    
!       
! ... ITMAX HAS BEEN REACHED
!       
      IF (IPARM(11).NE.0) GO TO 250   
      TIMI2 = TIMER(DUMMY)  
      TIME1 = DBLE(TIMI2-TIMI1)       
  250 IF (LEVEL.GE.1) WRITE (NOUT,260) ITMAX    
  260 FORMAT ('0','*** W A R N I N G ************'/'0',   &
     &   '    IN ITPACK ROUTINE SOR'/' ','    FAILURE TO CONVERGE IN',I5&
     &   ,' ITERATIONS')    
      IER = 33    
      IF (IPARM(3).EQ.0) RPARM(1) = STPTST      
      GO TO 300   
!       
! ... METHOD HAS CONVERGED  
!       
  270 IF (IPARM(11).NE.0) GO TO 280   
      TIMI2 = TIMER(DUMMY)  
      TIME1 = DBLE(TIMI2-TIMI1)       
  280 IF (LEVEL.GE.1) WRITE (NOUT,290) IN       
  290 FORMAT (/1X,'SOR  HAS CONVERGED IN ',I5,' ITERATIONS')
!       
! ... UNSCALE THE MATRIX, SOLUTION, AND RHS VECTORS.      
!       
  300 CALL UNSCAL (N,IA,JA,A,RHS,U,WKSP)
!       
! ... UN-PERMUTE MATRIX,RHS, AND SOLUTION       
!       
      IF (IPARM(9).LT.0) GO TO 330    
      CALL PERMAT (N,IA,JA,A,IWKSP(IB2),IWKSP(IB3),ISYM,LEVEL,NOUT, &
     &   IERPER)  
      IF (IERPER.EQ.0) GO TO 320      
      IF (LEVEL.GE.0) WRITE (NOUT,310) IERPER   
  310 FORMAT ('0','*** F A T A L     E R R O R ************'/'0',   &
     &   '    CALLED FROM ITPACK ROUTINE SOR '/' ',       &
     &   '    ERROR DETECTED IN SUBROUTINE  PERMAT'/' ',  &
     &   '    WHICH UNDOES THE RED-BLACK PERMUTATION   '/' ',       &
     &   '    IER = ',I5)   
      IF (IER.EQ.0) IER = IERPER      
      GO TO 360   
  320 CALL PERVEC (N,RHS,IWKSP(IB2))  
      CALL PERVEC (N,U,IWKSP(IB2))    
!       
! ... OPTIONAL ERROR ANALYSIS 
!       
  330 IDGTS = IPARM(12)     
      IF (IDGTS.LT.0) GO TO 340       
      IF (IPARM(2).LE.0) IDGTS = 0    
      CALL PERROR5 (N,IA,JA,A,RHS,U,WKSP,DIGIT1,DIGIT2,IDGTS)
!       
! ... SET RETURN PARAMETERS IN IPARM AND RPARM  
!       
  340 IF (IPARM(11).NE.0) GO TO 350   
      TIMJ2 = TIMER(DUMMY)  
      TIME2 = DBLE(TIMJ2-TIMJ1)       
  350 IF (IPARM(3).NE.0) GO TO 360    
      IPARM(1) = IN 
      IPARM(9) = NB 
      RPARM(2) = CME
      RPARM(3) = SME
      RPARM(5) = OMEGA      
      RPARM(9) = TIME1      
      RPARM(10) = TIME2     
      RPARM(11) = DIGIT1    
      RPARM(12) = DIGIT2    
!       
  360 CONTINUE    
      IERR = IER  
      IF (LEVEL.GE.3) CALL ECHALL (N,IA,JA,A,RHS,IPARM,RPARM,2)     
!       
      RETURN      
      END 
      SUBROUTINE SSORCG (NN,IA,JA,A,RHS,U,IWKSP,NW,WKSP,IPARM,RPARM,&
     &   IERR)    
!       
!     ITPACK 2C MAIN SUBROUTINE  SSORCG  (SYMMETRIC SUCCESSIVE OVER-
!                                        RELAXATION CONJUGATE GRADIENT) 
!     EACH OF THE MAIN SUBROUTINES:   
!           JCG, JSI, SOR, SSORCG, SSORSI, RSCG, RSSI     
!     CAN BE USED INDEPENDENTLY OF THE OTHERS   
!       
! ... FUNCTION:   
!       
!          THIS SUBROUTINE, SSORCG, DRIVES THE  SYMMETRIC SOR-CG    
!          ALGORITHM.       
!       
! ... PARAMETER LIST:       
!       
!          N      INPUT INTEGER.  DIMENSION OF THE MATRIX. (= NN)   
!          IA,JA  INPUT INTEGER VECTORS.  THE TWO INTEGER ARRAYS OF 
!                 THE SPARSE MATRIX REPRESENTATION.       
!          A      INPUT D.P. VECTOR.  THE D.P. ARRAY OF THE SPARSE  
!                 MATRIX REPRESENTATION.
!          RHS    INPUT D.P. VECTOR.  CONTAINS THE RIGHT HAND SIDE  
!                 OF THE MATRIX PROBLEM.
!          U      INPUT/OUTPUT D.P. VECTOR.  ON INPUT, U CONTAINS THE 
!                 INITIAL GUESS TO THE SOLUTION. ON OUTPUT, IT CONTAINS 
!                 THE LATEST ESTIMATE TO THE SOLUTION.    
!          IWKSP  INTEGER VECTOR WORKSPACE OF LENGTH 3*N  
!          NW     INPUT INTEGER.  LENGTH OF AVAILABLE WKSP.  ON OUTPUT, 
!                 IPARM(8) IS AMOUNT USED.      
!          WKSP   D.P. VECTOR USED FOR WORKING SPACE.  SSOR-CG      
!                 NEEDS TO BE IN LENGTH AT LEAST
!                 6*N + 2*ITMAX,  IF IPARM(5)=0  (SYMMETRIC STORAGE)
!                 6*N + 4*ITMAX,  IF IPARM(5)=1  (NONSYMMETRIC STORAGE) 
!          IPARM  INTEGER VECTOR OF LENGTH 12.  ALLOWS USER TO SPECIFY
!                 SOME INTEGER PARAMETERS WHICH AFFECT THE METHOD.  IF
!          RPARM  D.P. VECTOR OF LENGTH 12. ALLOWS USER TO SPECIFY SOME 
!                 D.P. PARAMETERS WHICH AFFECT THE METHOD.
!          IER    OUTPUT INTEGER.  ERROR FLAG. (= IERR)   
!       
! ... SSORCG SUBPROGRAM REFERENCES:   
!       
!          FROM ITPACK    BISRCH, CHGCON, DETERM, DFAULT, ECHALL,   
!                         ECHOUT, EIGVNS, EIGVSS, EQRT1S, ITERM, TIMER, 
!                         ITSRCG, IVFILL, OMEG, OMGCHG, OMGSTR,     
!                         PARCON, PBETA, PBSOR, PERMAT, PERROR5,     
!                         PERVEC, PFSOR, PJAC, PMULT, PRBNDX, PSTOP, PVT
!                         QSORT, SBELM, SCAL, DCOPY, DDOT, SUM3,    
!                         UNSCAL, VEVMW, VEVPW, VFILL, VOUT, WEVMW, 
!                         ZBRENT      
!          SYSTEM         DABS, DLOG, DLOG10, DBLE(AMAX0), DMAX1, AMIN1,
!                         MOD, DSQRT  
!       
!     VERSION:  ITPACK 2C (MARCH 1982)
!       
!     CODE WRITTEN BY:  DAVID KINCAID, ROGER GRIMES, JOHN RESPESS   
!                       CENTER FOR NUMERICAL ANALYSIS     
!                       UNIVERSITY OF TEXAS     
!                       AUSTIN, TX  78712       
!                       [phone]
!       
!     FOR ADDITIONAL DETAILS ON THE   
!          (A) SUBROUTINE SEE TOMS ARTICLE 1982 
!          (B) ALGORITHM  SEE CNA REPORT 150    
!       
!     BASED ON THEORY BY:  DAVID YOUNG, DAVID KINCAID, LOU HAGEMAN  
!       
!     REFERENCE THE BOOK:  APPLIED ITERATIVE METHODS      
!                          L. HAGEMAN, D. YOUNG 
!                          ACADEMIC PRESS, 1981 
!       
!     **************************************************  
!     *               IMPORTANT NOTE                   *  
!     *                                                *  
!     *      WHEN INSTALLING ITPACK ROUTINES ON A      *  
!     *  DIFFERENT COMPUTER, RESET SOME OF THE VALUES  *  
!     *  IN  SUBROUTNE DFAULT.   MOST IMPORTANT ARE    *  
!     *                                                *  
!     *   DRELPR      MACHINE RELATIVE PRECISION       *  
!     *   RPARM(1)    STOPPING CRITERION               *  
!     *                                                *  
!     *   ALSO CHANGE SYSTEM-DEPENDENT ROUTINE         *  
!     *   SECOND USED IN TIMER                         *  
!     *                                                *  
!     **************************************************  
!       
!     SPECIFICATIONS FOR ARGUMENTS    
!       
      INTEGER IA(1),JA(1),IWKSP(1),IPARM(12),NN,NW,IERR   
      DOUBLE PRECISION A(1),RHS(NN),U(NN),WKSP(NW),RPARM(12)
!       
!     SPECIFICATIONS FOR LOCAL VARIABLES
!       
      INTEGER IB1,IB2,IB3,IB4,IB5,IB6,IB7,IDGTS,IER,IERPER,ITMAX1,LOOP,N&
     &   ,NB,N3   
      DOUBLE PRECISION BETNEW,DIGIT1,DIGIT2,PBETA,TEMP,TIME1,TIME2,TOL
!       
! *** BEGIN: ITPACK COMMON  
!       
      INTEGER IN,IS,ISYM,ITMAX,LEVEL,NOUT       
      COMMON /ITCOM1/ IN,IS,ISYM,ITMAX,LEVEL,NOUT 
!       
      LOGICAL ADAPT,BETADT,CASEII,HALT,PARTAD   
      COMMON /ITCOM2/ ADAPT,BETADT,CASEII,HALT,PARTAD     
!       
      DOUBLE PRECISION BDELNM,BETAB,CME,DELNNM,DELSNM,FF,GAMMA,OMEGA,QA,&
     &   QT,RHO,RRR,SIGE,SME,SPECR,SPR,DRELPR,STPTST,UDNM,ZETA      
      COMMON /ITCOM3/ BDELNM,BETAB,CME,DELNNM,DELSNM,FF,GAMMA,OMEGA,QA, &
     &   QT,RHO,RRR,SIGE,SME,SPECR,SPR,DRELPR,STPTST,UDNM,ZETA      
!       
! *** END  : ITPACK COMMON  
!       
! ... VARIABLES IN COMMON BLOCK - ITCOM1
!       
!     IN     - ITERATION NUMBER       
!     IS     - ITERATION NUMBER WHEN PARAMETERS LAST CHANGED
!     ISYM   - SYMMETRIC/NONSYMMETRIC STORAGE FORMAT SWITCH 
!     ITMAX  - MAXIMUM NUMBER OF ITERATIONS ALLOWED       
!     LEVEL  - LEVEL OF OUTPUT CONTROL SWITCH   
!     NOUT   - OUTPUT UNIT NUMBER     
!       
! ... VARIABLES IN COMMON BLOCK - ITCOM2
!       
!     ADAPT  - FULLY ADAPTIVE PROCEDURE SWITCH  
!     BETADT - SWITCH FOR ADAPTIVE DETERMINATION OF BETA  
!     CASEII - ADAPTIVE PROCEDURE CASE SWITCH   
!     HALT   - STOPPING TEST SWITCH   
!     PARTAD - PARTIALLY ADAPTIVE PROCEDURE SWITCH
!       
! ... VARIABLES IN COMMON BLOCK - ITCOM3
!       
!     BDELNM - TWO NORM OF B TIMES DELTA-SUPER-N
!     BETAB  - ESTIMATE FOR THE SPECTRAL RADIUS OF LU MATRIX
!     CME    - ESTIMATE OF LARGEST EIGENVALUE   
!     DELNNM - INNER PRODUCT OF PSEUDO-RESIDUAL AT ITERATION N      
!     DELSNM - INNER PRODUCT OF PSEUDO-RESIDUAL AT ITERATION S      
!     FF     - ADAPTIVE PROCEDURE DAMPING FACTOR
!     GAMMA  - ACCELERATION PARAMETER 
!     OMEGA  - OVERRELAXATION PARAMETER FOR SOR AND SSOR  
!     QA     - PSEUDO-RESIDUAL RATIO  
!     QT     - VIRTUAL SPECTRAL RADIUS
!     RHO    - ACCELERATION PARAMETER 
!     RRR    - ADAPTIVE PARAMETER     
!     SIGE   - PARAMETER SIGMA-SUB-E  
!     SME    - ESTIMATE OF SMALLEST EIGENVALUE  
!     SPECR  - SPECTRAL RADIUS ESTIMATE FOR SSOR
!     DRELPR - MACHINE RELATIVE PRECISION       
!     STPTST - STOPPING PARAMETER     
!     UDNM   - TWO NORM OF U
!     ZETA   - STOPPING CRITERION     
!       
! ... INITIALIZE COMMON BLOCKS
!       
      LEVEL = IPARM(2)      
      NOUT = IPARM(4)       
      IF (IPARM(9).GE.0) IPARM(6) = 2 
      IF (LEVEL.GE.1) WRITE (NOUT,10) 
   10 FORMAT ('0'///1X,'BEGINNING OF ITPACK SOLUTION MODULE  SSORCG') 
      IER = 0     
      IF (IPARM(1).LE.0) RETURN       
      N = NN      
      IF (IPARM(11).EQ.0) TIMJ1 = TIMER(DUMMY)  
      IF (LEVEL.GE.3) GO TO 20
      CALL ECHOUT (IPARM,RPARM,4)     
      GO TO 30    
   20 CALL ECHALL (N,IA,JA,A,RHS,IPARM,RPARM,1) 
   30 TEMP = 5.0D2*DRELPR   
      IF (ZETA.GE.TEMP) GO TO 50      
      IF (LEVEL.GE.1) WRITE (NOUT,40) ZETA,DRELPR,TEMP    
   40 FORMAT ('0','*** W A R N I N G ************'/'0',   &
     &   '    IN ITPACK ROUTINE SSORCG'/' ','    RPARM(1) =',D10.3, &
     &   ' (ZETA)'/' ','    A VALUE THIS SMALL MAY HINDER CONVERGENCE '/&
     &   ' ','    SINCE MACHINE PRECISION DRELPR =',D10.3/' ',      &
     &   '    ZETA RESET TO ',D10.3)  
      ZETA = TEMP 
   50 CONTINUE    
      TIME1 = RPARM(9)      
      TIME2 = RPARM(10)     
      DIGIT1 = RPARM(11)    
      DIGIT2 = RPARM(12)    
!       
! ... VERIFY N    
!       
      IF (N.GT.0) GO TO 70  
      IER = 41    
      IF (LEVEL.GE.0) WRITE (NOUT,60) N 
   60 FORMAT ('0','*** F A T A L     E R R O R ************'/'0',   &
     &   '    CALLED FROM ITPACK ROUTINE SSORCG '/' ',    &
     &   '    INVALID MATRIX DIMENSION, N =',I8)
      GO TO 390   
   70 CONTINUE    
!       
! ... REMOVE ROWS AND COLUMNS IF REQUESTED      
!       
      IF (IPARM(10).EQ.0) GO TO 90    
      TOL = RPARM(8)
      CALL IVFILL (N,IWKSP,0) 
      CALL VFILL (N,WKSP,0.0D0)       
      CALL SBELM (N,IA,JA,A,RHS,IWKSP,WKSP,TOL,ISYM,LEVEL,NOUT,IER) 
      IF (IER.EQ.0) GO TO 90
      IF (LEVEL.GE.0) WRITE (NOUT,80) IER,TOL   
   80 FORMAT ('0','*** F A T A L     E R R O R ************'/'0',   &
     &   '    CALLED FROM ITPACK ROUTINE SSORCG '/' ',    &
     &   '    ERROR DETECTED IN SUBROUTINE  SBELM '/' ',  &
     &   '    WHICH REMOVES ROWS AND COLUMNS OF SYSTEM '/' ',       &
     &   '    WHEN DIAGONAL ENTRY TOO LARGE  '/' ','    IER = ',I5,5X,&
     &   ' RPARM(8) = ',D10.3,' (TOL)') 
      GO TO 390   
!       
! ... INITIALIZE WKSP BASE ADDRESSES.