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swancom4.ftn
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!
! SWAN/COMPU file 4 of 5
!
!
! PROGRAM SWANCOM4.FOR
!
!
! This file SWANCOM4 of the main program SWAN
! include the next subroutines
!
! *** nonlinear 4 wave-wave interactions ***
!
! FAC4WW (compute the constants for the nonlinear wave
! interactions)
! RANGE4 (compute the counters for the different types of
! computations for the nonlinear wave interactions)
! SWSNL1 (nonlinear four wave interactions; semi-implicit and computed
! for all bins that fall within a sweep with DIA technique.
! Interaction are calculated per sweep)
! SWSNL2 (nonlinear four wave interactions; fully explicit and computed
! for all bins that fall within a sweep with DIA technique.
! Interaction are calculated per sweep)
! SWSNL3 (calculate nonlinear four wave interactions fully explicitly
! for the full circle per iteration by means of DIA approach
! and store results in auxiliary array MEMNL4)
! SWSNL4 (calculate nonlinear four wave interactions fully explicitly
! for the full circle per iteration by means of MDIA approach
! and store results in auxiliary array MEMNL4)
! SWSNL8 (calculate nonlinear four wave interactions fully explicitly
! for the full circle per iteration by means of DIA approach
! and store results in auxiliary array MEMNL4. Neighbouring
! interactions are interpolated in piecewise constant manner)
! FILNL3 (fill main diagonal and right-hand side of the system with
! results of array MEMNL4)
!
! SWINTFXNL (interface with SWAN model to compute nonlinear transfer
! with the XNL method for given action density spectrum)
!
! *** nonlinear 3 wave-wave interactions ***
!
! TCOEF (compute coupling coefficients for SPB of Becq-Girard et al, 1999)
! COAPP (interpolation of energy densities at sum and diff freqs for triads)
! SWLTA (triad-wave interactions calculated with the Lumped Triad
! Approximation of Eldeberky, 1996)
! SWSPB (triad-wave interactions calculated with the Stochastic
! Parametric model based on the Boussinesq eqs (SPB) of
! Becq-Girard et al, 1999)
!
!----------------------------------------------------------------------
!
!******************************************************************
!
SUBROUTINE FAC4WW (XIS ,SNLC1 , 40.41 34.00
& DAL1 ,DAL2 ,DAL3 ,SPCSIG, 34.00
& WWINT ,WWAWG ,WWSWG ) 40.17 34.00
!
!******************************************************************
!
USE SWCOMM3 40.41
USE SWCOMM4 40.41
USE OCPCOMM4 40.41
USE M_SNL4 40.17
!
! --|-----------------------------------------------------------|--
! | Delft University of Technology |
! | Faculty of Civil Engineering |
! | Fluid Mechanics Section |
! | P.O. Box 5048, 2600 GA Delft, The Netherlands |
! | |
! | Programmers: H.L. Tolman, R.C. Ris |
! --|-----------------------------------------------------------|--
!
!
! SWAN (Simulating WAves Nearshore); a third generation wave model
! Copyright (C) 1993-2016 Delft University of Technology
!
! This program is free software; you can redistribute it and/or
! modify it under the terms of the GNU General Public License as
! published by the Free Software Foundation; either version 2 of
! the License, or (at your option) any later version.
!
! This program is distributed in the hope that it will be useful,
! but WITHOUT ANY WARRANTY; without even the implied warranty of
! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
! GNU General Public License for more details.
!
! A copy of the GNU General Public License is available at
! http://www.gnu.org/copyleft/gpl.html#SEC3
! or by writing to the Free Software Foundation, Inc.,
! 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
!
!
! 0. Authors
!
! 30.72: IJsbrand Haagsma
! 40.17: IJsbrand Haagsma
! 40.41: Marcel Zijlema
!
! 1. Updates
!
! 30.72, Feb. 98: Introduced generic names XCGRID, YCGRID and SPCSIG for SWAN
! 40.17, Dec. 01: Implementation of Multiple DIA
! 40.41, Sep. 04: compute indices for interactions which will be
! interpolated in piecewise constant manner
! 40.41, Oct. 04: common blocks replaced by modules, include files removed
!
! 2. Purpose :
!
! Calculate interpolation constants for Snl.
!
! 3. Method :
!
!
! 4. Argument variables
!
! SPCSIG: Relative frequencies in computational domain in sigma-space 30.72
!
REAL SPCSIG(MSC) 30.72
!
! INTEGERS:
! ---------
! MSC2,MSC1 Auxiliary variables
! MSC,MDC Maximum counters in spectral space
! IDP,IDP1 Positive range for ID
! IDM,IDM1 Negative range for ID
! ISP,ISP1 idem for IS
! ISM,ISM1 idem for IS
! ISCLW,ISCHG Minimum and maximum counter for discrete
! computations in frequency space
! ISLOW,ISHGH Minimum and maximum range in frequency space
! IDLOW,IDHGH idem in directional space
! IS Frequency counter
! MSC4MI,MSC4MA Array dimensions in frequency space
! MDC4MI,MDC4MA Array dimensions in direction space
!
! REALS:
! ------
! LAMBDA Coefficient set 0.25
! GRAV Gravitational acceleration
! SNLC1 Coefficient for the subroutines SWSNLn
! LAMM2,LAMP2
! DELTH3,DELTH4 Angles between the interacting wavenumbers
! DAL1,DAL2,DAL3 Coefficients for the non linear interactions
! CIDP,CIDM
! WIDP,WIDP1,WIDM,WIDM1 Weight factors
! WISP,WISP1,WISM,WISM1 idem
! AWGn Interpolation weight factors
! SWGn Quadratic interpolation weight factors
! XIS,XISLN Difference between succeeding frequencies
! PI 3.14
! FREQ Auxiliary frequency to fill scaling array
! DDIR,RADE band width in directional space and factor 34.00
!
! ARRAYS
! ------
! AF11 1D Scaling frequency
! WWINT 1D counters for 4WAVE interactions
! WWAWG 1D values for the interpolation
! WWSWG 1D vaules for the interpolation
!
! WWINT ( 1 = IDP WWAWG ( = AGW1 WWSWG ( = SWG1
! 2 = IDP1 = AWG2 = SWG2
! 3 = IDM = AWG3 = SWG3
! 4 = IDM1 = AWG4 = SWG4
! 5 = ISP = AWG5 = SWG5
! 6 = ISP1 = AWG6 = SWG6
! 7 = ISM = AWG7 = SWG7
! 8 = ISM1 = AWG8 ) = SWG8 )
! 9 = ISLOW
! 10= ISHGH
! 11= ISCLW
! 12= ISCHG
! 13= IDLOW
! 14= IDHGH
! 15= MSC4MI
! 16= MSC4MA
! 17= MDC4MI
! 18= MDC4MA
! 19= MSCMAX
! 20= MDCMAX
! 21= IDPP
! 22= IDMM
! 23= ISPP
! 24= ISMM )
!
! 7. Common blocks used
!
!
! 9. Source code :
!
! -----------------------------------------------------------------
! Calculate :
! 1. counters for frequency and direction for NL-interaction
! 2. weight factors
! 3. the minimum and maximum counter in IS and ID space
! 4. the interpolation weights
! 5. the quadratic interpolation rates
! 6. fill the array for the frequency**11
! ----------------------------------------------------------
!
!****************************************************************
!
INTEGER MSC2 ,MSC1 ,IS ,IDP ,IDP1 , 40.41 34.00
& IDM ,IDM1 ,ISP ,ISP1 ,ISM ,ISM1 , 34.00
& IDPP ,IDMM ,ISPP ,ISMM , 40.41
& ISLOW ,ISHGH ,ISCLW ,ISCHG ,IDLOW ,IDHGH ,
& MSCMAX,MDCMAX 34.00
!
REAL SNLC1 ,LAMM2 ,LAMP2 ,DELTH3, 40.17 34.00
& AUX1 ,DELTH4,DAL1 ,DAL2 ,DAL3 ,CIDP ,WIDP ,
& WIDP1 ,CIDM ,WIDM ,WIDM1 ,XIS ,XISLN ,WISP ,
& WISP1 ,WISM ,WISM1 ,AWG1 ,AWG2 ,AWG3 ,AWG4 ,
& AWG5 ,AWG6 ,AWG7 ,AWG8 ,SWG1 ,SWG2 ,SWG3 ,
& SWG4 ,SWG5 ,SWG6 ,SWG7 ,SWG8 ,FREQ , 34.00
& RADE 34.00
!
REAL WWAWG(*) , 40.17
& WWSWG(*)
!
INTEGER WWINT(*)
!
SAVE IENT
DATA IENT/0/
IF (LTRACE) CALL STRACE (IENT,'FAC4WW')
IF (ALLOCATED(AF11)) DEALLOCATE(AF11) 40.17
! *** Compute frequency indices ***
! *** XIS is the relative increment of the relative frequency ***
!
MSC2 = INT ( FLOAT(MSC) / 2.0 )
MSC1 = MSC2 - 1
XIS = SPCSIG(MSC2) / SPCSIG(MSC1) 30.72
!
! *** set values for the nonlinear four-wave interactions ***
!
SNLC1 = 1. / GRAV**4 40.17 34.00
!
LAMM2 = (1.-PQUAD(1))**2 40.17
LAMP2 = (1.+PQUAD(1))**2 40.17
DELTH3 = ACOS( (LAMM2**2+4.-LAMP2**2) / (4.*LAMM2) )
AUX1 = SIN(DELTH3)
DELTH4 = ASIN(-AUX1*LAMM2/LAMP2)
!
DAL1 = 1. / (1.+PQUAD(1))**4 40.17
DAL2 = 1. / (1.-PQUAD(1))**4 40.17
DAL3 = 2. * DAL1 * DAL2
!
! *** Compute directional indices in sigma and theta space ***
!
CIDP = ABS(DELTH4/DDIR) 40.00
IDP = INT(CIDP)
IDP1 = IDP + 1
WIDP = CIDP - REAL(IDP)
WIDP1 = 1.- WIDP
!
CIDM = ABS(DELTH3/DDIR) 40.00
IDM = INT(CIDM)
IDM1 = IDM + 1
WIDM = CIDM - REAL(IDM)
WIDM1 = 1.- WIDM
XISLN = LOG( XIS )
!
ISP = INT( LOG(1.+PQUAD(1)) / XISLN ) 40.17
ISP1 = ISP + 1
WISP = (1.+PQUAD(1) - XIS**ISP) / (XIS**ISP1 - XIS**ISP) 40.17
WISP1 = 1. - WISP
!
ISM = INT( LOG(1.-PQUAD(1)) / XISLN ) 40.17
ISM1 = ISM - 1
WISM = (XIS**ISM -(1.-PQUAD(1))) / (XIS**ISM - XIS**ISM1) 40.17
WISM1 = 1. - WISM
!
! *** Range of calculations ***
!
ISLOW = 1 + ISM1
ISHGH = MSC + ISP1 - ISM1
ISCLW = 1
ISCHG = MSC - ISM1
IDLOW = 1 - MDC - MAX(IDM1,IDP1)
IDHGH = MDC + MDC + MAX(IDM1,IDP1)
!
MSC4MI = ISLOW
MSC4MA = ISHGH
MDC4MI = IDLOW
MDC4MA = IDHGH
MSCMAX = MSC4MA - MSC4MI + 1
MDCMAX = MDC4MA - MDC4MI + 1
!
! *** Interpolation weights ***
!
AWG1 = WIDP * WISP
AWG2 = WIDP1 * WISP
AWG3 = WIDP * WISP1
AWG4 = WIDP1 * WISP1
!
AWG5 = WIDM * WISM
AWG6 = WIDM1 * WISM
AWG7 = WIDM * WISM1
AWG8 = WIDM1 * WISM1
!
! *** quadratic interpolation ***
!
SWG1 = AWG1**2
SWG2 = AWG2**2
SWG3 = AWG3**2
SWG4 = AWG4**2
!
SWG5 = AWG5**2
SWG6 = AWG6**2
SWG7 = AWG7**2
SWG8 = AWG8**2
!
! --- determine discrete counters for piecewise 40.41
! constant interpolation 40.41
!
IF (AWG1.LT.AWG2) THEN
IF (AWG2.LT.AWG3) THEN
IF (AWG3.LT.AWG4) THEN
ISPP=ISP
IDPP=IDP
ELSE
ISPP=ISP
IDPP=IDP1
END IF
ELSE IF (AWG2.LT.AWG4) THEN
ISPP=ISP
IDPP=IDP
ELSE
ISPP=ISP1
IDPP=IDP
END IF
ELSE IF (AWG1.LT.AWG3) THEN
IF (AWG3.LT.AWG4) THEN
ISPP=ISP
IDPP=IDP
ELSE
ISPP=ISP
IDPP=IDP1
END IF
ELSE IF (AWG1.LT.AWG4) THEN
ISPP=ISP
IDPP=IDP
ELSE
ISPP=ISP1
IDPP=IDP1
END IF
IF (AWG5.LT.AWG6) THEN
IF (AWG6.LT.AWG7) THEN
IF (AWG7.LT.AWG8) THEN
ISMM=ISM
IDMM=IDM
ELSE
ISMM=ISM
IDMM=IDM1
END IF
ELSE IF (AWG6.LT.AWG8) THEN
ISMM=ISM
IDMM=IDM
ELSE
ISMM=ISM1
IDMM=IDM
END IF
ELSE IF (AWG5.LT.AWG7) THEN
IF (AWG7.LT.AWG8) THEN
ISMM=ISM
IDMM=IDM
ELSE
ISMM=ISM
IDMM=IDM1
END IF
ELSE IF (AWG5.LT.AWG8) THEN
ISMM=ISM
IDMM=IDM
ELSE
ISMM=ISM1
IDMM=IDM1
END IF
!
! *** fill the arrays *
!
WWINT(1) = IDP
WWINT(2) = IDP1
WWINT(3) = IDM
WWINT(4) = IDM1
WWINT(5) = ISP
WWINT(6) = ISP1
WWINT(7) = ISM
WWINT(8) = ISM1
WWINT(9) = ISLOW
WWINT(10)= ISHGH
WWINT(11)= ISCLW
WWINT(12)= ISCHG
WWINT(13)= IDLOW
WWINT(14)= IDHGH
WWINT(15)= MSC4MI
WWINT(16)= MSC4MA
WWINT(17)= MDC4MI
WWINT(18)= MDC4MA
WWINT(19)= MSCMAX
WWINT(20)= MDCMAX
WWINT(21)= IDPP 40.41
WWINT(22)= IDMM 40.41
WWINT(23)= ISPP 40.41
WWINT(24)= ISMM 40.41
!
WWAWG(1) = AWG1
WWAWG(2) = AWG2
WWAWG(3) = AWG3
WWAWG(4) = AWG4
WWAWG(5) = AWG5
WWAWG(6) = AWG6
WWAWG(7) = AWG7
WWAWG(8) = AWG8
!
WWSWG(1) = SWG1
WWSWG(2) = SWG2
WWSWG(3) = SWG3
WWSWG(4) = SWG4
WWSWG(5) = SWG5
WWSWG(6) = SWG6
WWSWG(7) = SWG7
WWSWG(8) = SWG8
ALLOCATE (AF11(MSC4MI:MSC4MA)) 40.17
! *** Fill scaling array (f**11) ***
! *** compute the radian frequency**11 for IS=1, MSC ***
!
DO 100 IS=1, MSC
AF11(IS) = ( SPCSIG(IS) / ( 2. * PI ) )**11 30.72
100 CONTINUE
!
! *** compute the radian frequency for the IS = MSC+1, ISHGH ***
!
FREQ = SPCSIG(MSC) / ( 2. * PI ) 30.72
DO 110 IS = MSC+1, ISHGH
FREQ = FREQ * XIS
AF11(IS) = FREQ**11
110 CONTINUE
!
! *** compute the radian frequency for IS = 0, ISLOW ***
!
FREQ = SPCSIG(1) / ( 2. * PI ) 30.72
DO 120 IS = 0, ISLOW, -1
FREQ = FREQ / XIS
AF11(IS) = FREQ**11
120 CONTINUE
!
! *** test output ***
!
IF (ISLOW .LT. MSC4MI .OR. ISHGH .GT. MSC4MA .OR.
& IDLOW .LT. MDC4MI .OR. IDHGH .GT. MDC4MA) THEN
WRITE (PRINTF,900) IXCGRD(1), IYCGRD(1),
& ISLOW, ISHGH, IDLOW, IDHGH,
& MSC4MI,MSC4MA, MDC4MI, MDC4MA
900 FORMAT ( ' ** Error : array bounds and maxima in subr FAC4WW, ',
& ' point ', 2I5,
& /,' ISL,ISH : ',2I4, ' IDL,IDH : ',2I4,
& /,' SMI,SMA : ',2I4, ' DMI,DMA : ',2I4)
ENDIF
!
IF (ITEST .GE. 40) THEN
RADE = 360.0 / ( 2. * PI )
WRITE(PRINTF,*)
WRITE(PRINTF,*) ' FAC4WW subroutine '
WRITE(PRINTF,9000) DELTH4*RADE, DELTH3*RADE, DDIR*RADE, XIS
9000 FORMAT (' THET3 THET4 DDIR XIS :',4E12.4)
WRITE(PRINTF,9011) IDP, IDP1, IDM, IDM1
9011 FORMAT (' IDP IDP1 IDM IDM1 :',4I5)
WRITE(PRINTF,9012) WIDP, WIDP1, WIDM, WIDM1
9012 FORMAT (' WIDP WIDP1 WIDM WIDM1 :',4E12.4)
WRITE (PRINTF,9013) ISP, ISP1, ISM, ISM1
9013 FORMAT (' ISP ISP1 ISM ISM1 :',4I5)
WRITE (PRINTF,9014) WISP, WISP1, WISM, WISM1
9014 FORMAT (' WISP WISP1 WISM WISM1 :',4E12.4)
WRITE(PRINTF,9016) ISCLW, ISCHG
9016 FORMAT (' ICLW ICHG :',2I5)
WRITE (PRINTF,9017) AWG1, AWG2, AWG3, AWG4
9017 FORMAT (' AWG1 AWG2 AWG3 AWG4 :',4E12.4)
WRITE (PRINTF,9018) AWG5, AWG6, AWG7, AWG8
9018 FORMAT (' AWG5 AWG6 AWG7 AWG8 :',4E12.4)
WRITE (PRINTF,9019) MSC4MI, MSC4MA, MDC4MI, MDC4MA
9019 FORMAT (' S4MI S4MA D4MI D4MA :',4I6)
WRITE (PRINTF,9015) ISLOW, ISHGH, IDLOW,IDHGH
9015 FORMAT (' ISLOW ISHG IDLOW IDHG :',4I5)
WRITE(PRINTF,*)
END IF
!
RETURN
! End of FAC4WW
END
!
!******************************************************************
!
SUBROUTINE RANGE4 (WWINT ,IDDLOW,IDDTOP) 40.00
!
!******************************************************************
!
USE SWCOMM3 40.41
USE SWCOMM4 40.41
USE OCPCOMM4 40.41
!
!
! --|-----------------------------------------------------------|--
! | Delft University of Technology |
! | Faculty of Civil Engineering |
! | Environmental Fluid Mechanics Section |
! | P.O. Box 5048, 2600 GA Delft, The Netherlands |
! | |
! | Programmers: The SWAN team |
! --|-----------------------------------------------------------|--
!
!
! SWAN (Simulating WAves Nearshore); a third generation wave model
! Copyright (C) 1993-2016 Delft University of Technology
!
! This program is free software; you can redistribute it and/or
! modify it under the terms of the GNU General Public License as
! published by the Free Software Foundation; either version 2 of
! the License, or (at your option) any later version.
!
! This program is distributed in the hope that it will be useful,
! but WITHOUT ANY WARRANTY; without even the implied warranty of
! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
! GNU General Public License for more details.
!
! A copy of the GNU General Public License is available at
! http://www.gnu.org/copyleft/gpl.html#SEC3
! or by writing to the Free Software Foundation, Inc.,
! 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
!
!
! 0. Authors
!
! 40.00: Nico Booij
! 40.10: IJsbrand Haagsma
! 40.41: Marcel Zijlema
!
! 1. Updates
!
! 40.10, Mar. 00: Made modification for exact quadruplets
! 40.41, Oct. 04: common blocks replaced by modules, include files removed
!
! 2. Purpose :
!
! calculate the minimum and maximum counters in frequency and
! directional space which fall with the calculation for the
! nonlinear wave-wave interactions.
!
! 3. Method : review for the counters :
!
! Frequencies -->
! +---+---------------------+---------+- IDHGH
! d | 3 : 2 : 2 |
! i + - + - - - - - - - - - - + - - - - +- MDC
! r | : : |
! e | 3 : original spectrum : 1 |
! c | : : |
! t. + - + - - - - - - - - - - + - - - - +- 1
! | 3 : 2 : 2 |
! +---+---------------------+---------+- IDLOW
! | | | ^ |
! ISLOW 1 MSC | ISHGH
! ^ |
! | |
! ISCLW ISCHG
! lowest discrete highest discrete
! central bin central bin
!
!
! The directional counters depend on the numerical method that
! is used.
!
! 4. Parameters :
!
! INTEGER
! -------
! IQUAD Counter for 4 wave interactions
! ISLOW,ISHGH Minimum and maximum counter in frequency space
! ISCLW,ISCHG idem for discrete computations
! IDLOW,IDHGH Minimum and maximum counters in directional space
! MSC,MDC Range of the original arrays
! ISM1,ISP1,
! IDM1,IDP1 see subroutine FAC4WW
! IDDLOW minimum counter of the bin that is propagated
! within a sweep
! IDDTOP minimum counter of the bin that is propagated
! within a sweep
!
! array:
! ------
! WWINT counters for the nonlinear interactions
!
! WWINT ( 1 = IDP 2 = IDP1 3 = IDM 4 = IDM1
! 5 = ISP 6 = ISP1 7 = ISM 8 = ISM1
! 9 = ISLOW 10 = ISHGH 11 = ISCLW 12 = ISCHG
! 13 = IDLOW 14 = IDHGH 15 = MSC4MI 16 = MSC4MA
! 17 = MDC4MI 18 = MDC4MA
! 19 = MSCMAX 20 = MDCMAX )
!
! 5. Subroutines used :
!
! ---
!
! 6. Called by :
!
! SOURCE
!
! 7. Common blocks used
!
!
! 9. Source code :
!
! -----------------------------------------------------------------
! Calculate :
! In absence of a current there are always four sectors
! equal 90 degrees within a sweep that are propagated
! Extend the boundaries to calculate the source term
! In presence of a current and if IDTOT .eq. MDC then calculate
! boundaries for calculation of interaction using the
! unfolded area.
! ----------------------------------------------------------
!
!****************************************************************
!
INTEGER IDDLOW,IDDTOP 40.00
!
INTEGER WWINT(*)
!
SAVE IENT
DATA IENT/0/
IF (LTRACE) CALL STRACE (IENT,'RANGE4')
!
! *** Range in directional domain ***
!
IF ( IQUAD .LT. 3 .AND. IQUAD .GT. 0 ) THEN 40.10
! *** counters based on bins which fall within a sweep ***
WWINT(13) = IDDLOW - MAX( WWINT(4), WWINT(2) )
WWINT(14) = IDDTOP + MAX( WWINT(4), WWINT(2) )
ELSE
! *** counters initially based on full circle ***
WWINT(13) = 1 - MAX( WWINT(4), WWINT(2) )
WWINT(14) = MDC + MAX( WWINT(4), WWINT(2) )
END IF
!
! *** error message ***
!
IF (WWINT(9) .LT. WWINT(15) .OR. WWINT(10) .GT. WWINT(16) .OR.
& WWINT(13) .LT. WWINT(17) .OR. WWINT(14) .GT. WWINT(18) ) THEN
WRITE (PRINTF,900) IXCGRD(1), IYCGRD(1),
& WWINT(9) ,WWINT(10) ,WWINT(13) ,WWINT(14),
& WWINT(15),WWINT(16) ,WWINT(17) ,WWINT(18)
900 FORMAT ( ' ** Error : array bounds and maxima in subr RANGE4, ',
& ' point ', 2I5,
& /,' ISL,ISH : ',2I4, ' IDL,IDH : ',2I4,
& /,' SMI,SMA : ',2I4, ' DMI,DMA : ',2I4)
IF (ITEST.GE.50) WRITE (PRTEST, 901) MSC, MDC, IDDLOW, IDDTOP
901 FORMAT (' MSC, MDC, IDDLOW, IDDTOP: ', 4I5)
ENDIF
!
! test output
!
IF (TESTFL .AND. ITEST .GE. 60) THEN
WRITE(PRTEST,911) WWINT(4), WWINT(2), WWINT(8), WWINT(6)
911 FORMAT (' RANGE4: IDM1 IDP1 ISM1 ISP1 :',4I5)
WRITE(PRTEST,916) WWINT(11), WWINT(12), IQUAD
916 FORMAT (' RANGE4: ISCLW ISCHG IQUAD :',3I5)
WRITE (PRTEST,917) WWINT(9), WWINT(10), WWINT(13), WWINT(14)
917 FORMAT (' RANGE4: ISLOW ISHGH IDLOW IDHGH:',4I5)
WRITE (PRTEST,919) WWINT(15), WWINT(16), WWINT(17), WWINT(18)
919 FORMAT (' RANGE4: MS4MI MS4MA MD4MI MD4MA:',4I5)
WRITE(PRINTF,*)
END IF
!
RETURN
! End of RANGE4
END
!
!********************************************************************
!
SUBROUTINE SWSNL1 (WWINT ,WWAWG ,WWSWG , 34.00
& IDCMIN ,IDCMAX ,UE ,SA1 , 40.17
& SA2 ,DA1C ,DA1P ,DA1M ,DA2C ,
& DA2P ,DA2M ,SPCSIG ,SNLC1 ,KMESPC , 30.72
& FACHFR ,ISSTOP ,DAL1 ,DAL2 ,DAL3 ,
& SFNL ,DSNL ,DEP2 ,AC2 ,IMATDA ,
& IMATRA ,PLNL4S ,PLNL4D , 34.00
& IDDLOW ,IDDTOP ,REDC0 ,REDC1 ) 40.85 34.00
!
!********************************************************************
!
USE SWCOMM3 40.41
USE SWCOMM4 40.41
USE OCPCOMM4 40.41
USE M_SNL4 40.17
!
! --|-----------------------------------------------------------|--
! | Delft University of Technology |
! | Faculty of Civil Engineering |
! | Fluid Mechanics Section |
! | P.O. Box 5048, 2600 GA Delft, The Netherlands |
! | |
! | Programmers: H.L. Tolman, R.C. Ris |
! --|-----------------------------------------------------------|--
!
!
! SWAN (Simulating WAves Nearshore); a third generation wave model
! Copyright (C) 1993-2016 Delft University of Technology
!
! This program is free software; you can redistribute it and/or
! modify it under the terms of the GNU General Public License as
! published by the Free Software Foundation; either version 2 of
! the License, or (at your option) any later version.
!
! This program is distributed in the hope that it will be useful,
! but WITHOUT ANY WARRANTY; without even the implied warranty of
! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
! GNU General Public License for more details.
!
! A copy of the GNU General Public License is available at
! http://www.gnu.org/copyleft/gpl.html#SEC3
! or by writing to the Free Software Foundation, Inc.,
! 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
!
!
! 0. Authors
!
! 30.72: IJsbrand Haagsma
! 40.13: Nico Booij
! 40.17: IJsbrand Haagsma
! 40.23: Marcel Zijlema
! 40.41: Marcel Zijlema
! 40.85: Marcel Zijlema
!
! 1. Updates
!
! 30.72, Feb. 98: Introduced generic names XCGRID, YCGRID and SPCSIG for SWAN
! 40.17, Dec. 01: Implentation of Multiple DIA
! 40.23, Aug. 02: some corrections
! 40.41, Oct. 04: common blocks replaced by modules, include files removed
! 40.85, Aug. 08: store quadruplets for output purposes
!
! 2. Purpose
!
! Calculate non-linear interaction using the discrete interaction
! approximation (Hasselmann and Hasselmann 1985; WAMDI group 1988),
! including the diagonal term for the implicit integration.
!
! The interactions are calculated for all bin's that fall
! within a sweep. No additional auxiliary array is required (see
! SWSNL3)
!
! 3. Method
!
! Discrete interaction approximation.
!
! Since the domain in directional domain is by definition not
! periodic, the spectral space can not beforehand
! folded to the side angles. This can only be done if the
! full circle has to be calculated
!
!
! Frequencies -->
! +---+---------------------+---------+- IDHGH
! d | 3 : 2 : 2 |
! i + - + - - - - - - - - - - + - - - - +- MDC
! r | : : |
! e | 3 : original spectrum : 1 |
! c | : : |
! t. + - + - - - - - - - - - - + - - - - +- 1
! | 3 : 2 : 2 |
! +---+---------------------+---------+- IDLOW
! | | | ^ |
! ISLOW 1 MSC | ISHGH
! ^ |
! | |
! ISCLW ISCHG
! lowest discrete highest discrete
! central bin central bin
!
! 1 : Extra tail added beyond MSC
! 2 : Spectrum copied outside ID range
! 3 : Empty bins at low frequencies
!
! ISLOW = 1 + ISM1
! ISHGH = MSC + ISP1 - ISM1
! ISCLW = 1
! ISCHG = MSC - ISM1
! IDLOW = IDDLOW - MAX(IDM1,IDP1)
! IDHGH = IDDTOP + MAX(IDM1,IDP1)
!
! For the meaning of the counters on the right hand side of the
! above equations see section 4.
!
! 4. Argument variables
!
! SPCSIG: Relative frequencies in computational domain in sigma-space 30.72
!
REAL SPCSIG(MSC) 30.72
!
! Data in PARAMETER statements :
! ----------------------------------------------------------------
! DAL1 Real LAMBDA dependend weight factors (see FAC4WW)
! DAL2 Real
! DAL3 Real
! ITHP, ITHP1, ITHM, ITHM1, IFRP, IFRP1, IFRM, IFRM1
! Int. Counters of interpolation point relative to
! central bin, see figure below (set in FAC4WW).
! NFRLOW, NFRHGH, NFRCHG, NTHLOW, NTHHGH
! Int. Range of calculations, see section 2.
! AF11 R.A. Scaling array (Freq**11).
! AWGn Real Interpolation weights, see numbers in fig.
! SWGn Real Id. squared.
! UE R.A. "Unfolded" spectrum.
! SA1 R.A. Interaction constribution of first and second
! SA2 R.A. quadr. respectively (unfolded space).
! DA1C, DA1P, DA1M, DA2C, DA2P, DA2M
! R.A. Idem for diagonal matrix.
! PERCIR full circle or sector
! ----------------------------------------------------------------
!
! Relative offsets of interpolation points around central bin
! "#" and corresponding numbers of AWGn :
!
! ISM1 ISM
! 5 7 T |
! IDM1 +------+ H +
! | | E | ISP ISP1
! | \ | T | 3 1
! IDM +------+ A + +---------+ IDP1
! 6 \8 | | |
! | | / |
! \ + +---------+ IDP
! | /4 2
! \ | /
! -+-----+------+-------#--------+---------+----------+
! | FREQ.
!
! 7. Common blocks used
!
!
! 8. Subroutines used
!
! ---
!
! 9. Subroutines calling
!
! SOURCE (in SWANCOM1)
!
! 12. Structure
!
! -------------------------------------------
! Initialisations.
! Calculate proportionality constant.
! Prepare auxiliary spectrum.
! Calculate interactions :
! -----------------------------------------
! Energy at interacting bins
! Contribution to interactions
! Fold interactions to side angles
! -----------------------------------------
! Put source term together
! -------------------------------------------
!
! 13. Source text
!
!*************************************************************
!
INTEGER IS ,ID ,I ,J , 34.00
& ISHGH ,IDLOW ,ISP ,ISP1 ,IDP ,IDP1 ,
& ISM ,ISM1 ,IDHGH ,IDM ,IDM1 ,ISCLW ,
& ISCHG ,IDDLOW ,IDDTOP 34.00
!
REAL X ,X2 ,CONS ,FACTOR ,SNLCS1 ,SNLCS2 ,SNLCS3,
& E00 ,EP1 ,EM1 ,EP2 ,EM2 ,SA1A ,SA1B ,
& SA2A ,SA2B ,KMESPC ,FACHFR ,AWG1 ,AWG2 ,AWG3 ,
& AWG4 ,AWG5 ,AWG6 ,AWG7 ,AWG8 ,DAL1 ,DAL2 ,
& DAL3 ,SNLC1 ,SWG1 ,SWG2 ,SWG3 ,SWG4 ,SWG5 ,
& SWG6 ,SWG7 ,SWG8 ,JACOBI ,SIGPI 34.00
!
REAL AC2(MDC,MSC,MCGRD) ,
& DEP2(MCGRD) ,
& UE(MSC4MI:MSC4MA , MDC4MI:MDC4MA ) ,
& SA1(MSC4MI:MSC4MA , MDC4MI:MDC4MA ) ,
& SA2(MSC4MI:MSC4MA , MDC4MI:MDC4MA ) ,
& DA1C(MSC4MI:MSC4MA , MDC4MI:MDC4MA ) ,
& DA1P(MSC4MI:MSC4MA , MDC4MI:MDC4MA ) ,
& DA1M(MSC4MI:MSC4MA , MDC4MI:MDC4MA ) ,
& DA2C(MSC4MI:MSC4MA , MDC4MI:MDC4MA ) ,
& DA2P(MSC4MI:MSC4MA , MDC4MI:MDC4MA ) ,
& DA2M(MSC4MI:MSC4MA , MDC4MI:MDC4MA ) ,
& SFNL(MSC4MI:MSC4MA , MDC4MI:MDC4MA ) ,
& DSNL(MSC4MI:MSC4MA , MDC4MI:MDC4MA ) ,
& IMATDA(MDC,MSC) ,
& IMATRA(MDC,MSC) ,
& PLNL4S(MDC,MSC,NPTST) , 40.00
& PLNL4D(MDC,MSC,NPTST) ,
& WWAWG(*) ,
& WWSWG(*)
REAL :: REDC0 (MDC,MSC,MREDS) 40.85
REAL :: REDC1 (MDC,MSC,MREDS) 40.85
!
INTEGER IDCMIN(MSC) ,
& IDCMAX(MSC) ,
& WWINT(*)
!
LOGICAL PERCIR
!
SAVE IENT
DATA IENT/0/
IF (LTRACE) CALL STRACE (IENT,'SWSNL1')
!
IDP = WWINT(1)
IDP1 = WWINT(2)
IDM = WWINT(3)
IDM1 = WWINT(4)
ISP = WWINT(5)
ISP1 = WWINT(6)
ISM = WWINT(7)
ISM1 = WWINT(8)
ISLOW = WWINT(9)
ISHGH = WWINT(10)
ISCLW = WWINT(11)
ISCHG = WWINT(12)
IDLOW = WWINT(13)
IDHGH = WWINT(14)
!
AWG1 = WWAWG(1)
AWG2 = WWAWG(2)
AWG3 = WWAWG(3)
AWG4 = WWAWG(4)
AWG5 = WWAWG(5)
AWG6 = WWAWG(6)
AWG7 = WWAWG(7)
AWG8 = WWAWG(8)
!
SWG1 = WWSWG(1)
SWG2 = WWSWG(2)
SWG3 = WWSWG(3)
SWG4 = WWSWG(4)
SWG5 = WWSWG(5)
SWG6 = WWSWG(6)
SWG7 = WWSWG(7)
SWG8 = WWSWG(8)
!
! *** Initialize auxiliary arrays per gridpoint ***
!
DO ID = MDC4MI, MDC4MA
DO IS = MSC4MI, MSC4MA
UE(IS,ID) = 0.
SA1(IS,ID) = 0.
SA2(IS,ID) = 0.
SFNL(IS,ID) = 0.
DA1C(IS,ID) = 0.
DA1P(IS,ID) = 0.
DA1M(IS,ID) = 0.
DA2C(IS,ID) = 0.
DA2P(IS,ID) = 0.
DA2M(IS,ID) = 0.
DSNL(IS,ID) = 0.
ENDDO
ENDDO
!
! *** Calculate factor R(X) to calculate the NL wave-wave ***
! *** interaction for shallow water ***
! *** SNLC1 = 1/GRAV**4 *** 40.17
!
SNLCS1 = PQUAD(3) 34.00
SNLCS2 = PQUAD(4) 34.00
SNLCS3 = PQUAD(5) 34.00
X = MAX ( 0.75 * DEP2(KCGRD(1)) * KMESPC , 0.5 )
X2 = MAX ( -1.E15, SNLCS3*X)
CONS = SNLC1 * ( 1. + SNLCS1/X * (1.-SNLCS2*X) * EXP(X2))
JACOBI = 2. * PI
!
! *** check whether the spectral domain is periodic in ***
! *** directional space and if so, modify boundaries ***
!
PERCIR = .FALSE.
IF ( IDDLOW .EQ. 1 .AND. IDDTOP .EQ. MDC ) THEN
! *** periodic in theta -> spectrum can be folded ***
! *** (can only be present in presence of a current) ***
IDCLOW = 1
IDCHGH = MDC
IIID = 0
PERCIR = .TRUE.
ELSE
! *** different sectors per sweep -> extend range with IIID ***
IIID = MAX ( IDM1 , IDP1 )
IDCLOW = IDLOW
IDCHGH = IDHGH
ENDIF
!
! *** Prepare auxiliary spectrum ***
! *** set action original spectrum in array UE ***
!
DO IDDUM = IDLOW - IIID, IDHGH + IIID
ID = MOD ( IDDUM - 1 + MDC , MDC ) + 1