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swanser.ftn
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!
! SWAN - SERVICE ROUTINES
!
! Contents of this file
!
! READXY
! REFIXY
! INFRAM
! DISTR
! KSCIP1
! KSCIP2 40.59
! NG 40.59
! AC2TST
! CVCHEK 30.60
! CVMESH 30.60
! NEWTON 30.60
! EVALF 30.60
! SWOBST 30.60
! SWOBSTO 40.86
! TCROSS 40.04
! SWTRCF
! SSHAPE 40.00
! SINTRP 40.00
! HSOBND 32.01
! CHGBAS 40.00
! GAMMAF 40.00
! WRSPEC 40.00
!TIMG! SWTSTA 40.23
!TIMG! SWTSTO 40.23
!TIMG! SWPRTI 40.23
! TXPBLA 40.23
! INTSTR 40.23
! NUMSTR 40.23
! SWCOPI 40.23
! SWCOPR 40.23
!MatL4! SWI2B 40.30
!MatL4! SWR2B 40.30
!
! functions:
! ----------
! DEGCNV (converts from cartesian convention to nautical and 32.01
! vice versa) 32.01
! ANGRAD (converts radians to degrees) 32.01
! ANGDEG (converts degrees to radians) 32.01
!
! subroutines:
! ------------
! HSOBND (Hs is calculated after a SWAN computation at all sides. 32.01
! The calculated wave height from SWAN is then compared with 32.01
! the wave heigth as provided by the user 32.01
!
!***********************************************************************
! *
SUBROUTINE READXY (NAMX, NAMY, XX, YY, KONT, XSTA, YSTA)
! *
!***********************************************************************
!
USE OCPCOMM1 40.41
USE SWCOMM2 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
! 40.22: John Cazes and Tim Campbell
! 40.13: Nico Booij
! 40.51: Marcel Zijlema
!
! 1. UPDATE
!
! Nov. 1996 offset values are added to standard values
! because they will be subtracted later
! 40.13, Nov. 01: a valid value for YY is required if a valid value
! for XX has been given; ocpcomm1.inc reactivated
! 40.51, Feb. 05: correction to location points equal to offset values
!
! 2. PURPOSE
!
! Read x and y, initialize offset values XOFFS and YOFFS
!
! 3. METHOD
!
! ---
!
! 4. PARAMETERLIST
!
! NAMX, NAMY inp char names of the two coordinates as given in
! the user manual
! XX, YY out real values of x and y taking into account offset
! KONT inp char what to be done if values are missing
! see doc. of INDBLE (Ocean Pack doc.)
! XSTA, YSTA inp real standard values of x and y
!
! 5. SUBROUTINES CALLING
!
!
!
! 6. SUBROUTINES USED
!
! INDBLE (Ocean Pack)
LOGICAL EQREAL
!
! 7. ERROR MESSAGES
!
! ---
!
! 8. REMARKS
!
! ---
!
! 9. STRUCTURE
!
! ----------------------------------------------------------------
! Read x and y in double prec.
! If this is first couple of values
! Then assign values to XOFFS and YOFFS
! make LXOFFS True
! ---------------------------------------------------------------
! make XX and YY equal to x and y taking into account offset
! ----------------------------------------------------------------
!
! 10. SOURCE TEXT
!
DOUBLE PRECISION XTMP, YTMP
CHARACTER NAMX *(*), NAMY *(*), KONT *(*)
SAVE IENT
DATA IENT /0/
CALL STRACE (IENT,'READXY')
!
CALL INDBLE (NAMX, XTMP, KONT, DBLE(XSTA)+DBLE(XOFFS))
IF (CHGVAL) THEN 40.13
! a valid value was given for XX 40.13
CALL INDBLE (NAMY, YTMP, 'REQ', DBLE(YSTA)+DBLE(YOFFS)) 40.13
ELSE 40.13
CALL INDBLE (NAMY, YTMP, KONT, DBLE(YSTA)+DBLE(YOFFS))
ENDIF 40.13
IF (.NOT.LXOFFS) THEN
XOFFS = REAL(XTMP)
YOFFS = REAL(YTMP)
LXOFFS = .TRUE.
ENDIF
IF (.NOT.EQREAL(XOFFS,REAL(XTMP))) THEN 40.51
XX = REAL(XTMP-DBLE(XOFFS))
ELSE IF (OPTG.EQ.3) THEN 40.51
XX = 1.E-5 40.51
ELSE 40.51
XX = 0. 40.51
END IF 40.51
IF (.NOT.EQREAL(YOFFS,REAL(YTMP))) THEN 40.51
YY = REAL(YTMP-DBLE(YOFFS))
ELSE IF (OPTG.EQ.3) THEN 40.51
YY = 1.E-5 40.51
ELSE 40.51
YY = 0. 40.51
END IF 40.51
!
RETURN
! * end of subroutine READXY *
END
!***********************************************************************
! *
SUBROUTINE REFIXY (NDS, XX, YY, IERR)
! *
!***********************************************************************
!
USE SWCOMM2 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
! 40.22: John Cazes and Tim Campbell
! 40.51: M. Zijlema
!
! 1. UPDATE
!
! first version: 10.18 (Sept 1994)
!
! 2. PURPOSE
!
! initialize offset values XOFFS and YOFFS, and shift XX and YY
!
! 3. METHOD
!
! ---
!
! 4. PARAMETERLIST
!
! NDS in int file reference number
! XX, YY out real values of x and y taking into account offset
! IERR out int error indicator: IERR=0: no error, =-1: end-
! of-file, =-2: read error
!
! 5. SUBROUTINES CALLING
!
!
!
! 6. SUBROUTINES USED
!
LOGICAL EQREAL
!
! 7. ERROR MESSAGES
!
! ---
!
! 8. REMARKS
!
! ---
!
! 9. STRUCTURE
!
! ----------------------------------------------------------------
! If this is first couple of values
! Then assign values to XOFFS and YOFFS
! make LXOFFS True
! ---------------------------------------------------------------
! make XX and YY equal to x and y taking into account offset
! ----------------------------------------------------------------
!
! 10. SOURCE TEXT
!
DOUBLE PRECISION XTMP, YTMP
REAL XX, YY
SAVE IENT
DATA IENT /0/
CALL STRACE (IENT,'REFIXY')
!
READ (NDS, *, END=10, ERR=20) XTMP, YTMP
IF (.NOT.LXOFFS) THEN
XOFFS = REAL(XTMP)
YOFFS = REAL(YTMP)
LXOFFS = .TRUE.
ENDIF
IF (.NOT.EQREAL(XOFFS,REAL(XTMP))) THEN 40.51
XX = REAL(XTMP-DBLE(XOFFS))
ELSE IF (OPTG.EQ.3) THEN 40.51
XX = 1.E-5 40.51
ELSE 40.51
XX = 0. 40.51
END IF 40.51
IF (.NOT.EQREAL(YOFFS,REAL(YTMP))) THEN 40.51
YY = REAL(YTMP-DBLE(YOFFS))
ELSE IF (OPTG.EQ.3) THEN 40.51
YY = 1.E-5 40.51
ELSE 40.51
YY = 0. 40.51
END IF 40.51
!
IERR = 0
RETURN
! end of file
10 IERR = -1
RETURN
! read error
20 IERR = -2
RETURN
! * end of subroutine REFIXY *
END
!***********************************************************************
! *
LOGICAL FUNCTION INFRAM (XQQ, YQQ)
! *
!***********************************************************************
!
USE OCPCOMM4 40.41
USE SWCOMM1 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
! 40.41: Marcel Zijlema
!
! 1. UPDATE
!
! 40.41, Oct. 04: common blocks replaced by modules, include files removed
!
! 2. PURPOSE
!
! Checking whether a point given in frame coordinates is located
! in the plotting frame (INFRAM = .TRUE.) or not (INFRAM = .FALSE.)
!
! 3. METHOD
!
! ---
!
! 4. PARAMETERLIST
!
! XQQ REAL input X-coordinate (output grid) of the point
! YQQ REAL input Y-coordinate (output grid) of the point
!
! 5. SUBROUTINES CALLING
!
! SPLSIT, PLNAME
!
! 6. SUBROUTINES USED
!
! none
!
! 7. ERROR MESSAGES
!
! ---
!
! 8. REMARKS
!
! ---
!
! 9. STRUCTURE
!
! ----------------------------------------------------------------
! Give INFRAM initial value true
! IF XQQ < 0, XQQ > XQLEN, YQQ < 0 OR YQQ > YQLEN, THEN
! INFRAM = false
! ----------------------------------------------------------------
!
! 10. SOURCE TEXT
!
SAVE IENT
DATA IENT/0/
IF (LTRACE) CALL STRACE (IENT,'INFRAM')
!
INFRAM = .TRUE.
IF (XQQ .LT. 0.) INFRAM = .FALSE.
IF (XQQ .GT. XQLEN) INFRAM = .FALSE.
IF (YQQ .LT. 0.) INFRAM = .FALSE.
IF (YQQ .GT. YQLEN) INFRAM = .FALSE.
!
RETURN
! * end of function INFRAM *
END
!***********************************************************************
! *
SUBROUTINE DISTR (CDIR, DIR, COEF, SPCDIR) 20.43
! *
!***********************************************************************
!
USE OCPCOMM4 40.41
USE SWCOMM3 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
!
! 30.82: IJsbrand Haagsma
! 40.22: John Cazes and Tim Campbell
! 40.41: Marcel Zijlema
!
! 1. Updates
!
! 0.1 , Jul. 87: Standard heading added
! 0.2 , Dec. 89: Value for energy outside of the sector changed
! from 0. to 1.E-6
! Oct. 90: Value for energy outside the sector changed to 1.E-10
! logical BDIR introduced to take care for case where
! none of the values is positive
! 30.82, Oct. 98: Updated description of several variables
! 40.41, Oct. 04: common blocks replaced by modules, include files removed
!
! 2. PURPOSE
!
! Computation of the distribution of the wave energy over the
! sectors, according to the given directional spread.
!
! 3. METHOD
!
! ---
!
! 4. Argument variables
!
! i SPCDIR: (*,1); spectral directions (radians) 30.82
! (*,2); cosine of spectral directions 30.82
! (*,3); sine of spectral directions 30.82
! (*,4); cosine^2 of spectral directions 30.82
! (*,5); cosine*sine of spectral directions 30.82
! (*,6); sine^2 of spectral directions 30.82
!
REAL SPCDIR(MDC,6) 30.82
!
! CDIR REAL output array containing the coefficients of
! (energy) distribution
! DIR REAL input main wave direction, in radians
! COEF REAL input coefficient of the directional distri-
! bution (cos**COEF)
!
! 5. SUBROUTINES CALLING
!
! REINVA (HISWA/SWREAD), STARTB and SWIND (both HISWA/COMPU)
!
! 6. SUBROUTINES USED
!
! none
!
! 7. Common blocks used
!
!
! 8. REMARKS
!
! ---
!
! 9. STRUCTURE
!
! -----------------------------------------------------------------
! For every direction of the grid do
! If the direction deviates less than PI/2 from the main wave
! direction, then
! Compute the coefficient cos**n
! Else
! Coefficient is 1.E-10
! -----------------------------------------------------------------
! If any of the directions deviated less than PI/2
! Then Compute the total of the coefficients
! For every direction of the grid do
! Divide the fraction of the distribution by the total
! -----------------------------------------------------------------
!
! 13. Source text
!
LOGICAL BDIR
REAL CDIR(*)
SAVE IENT
DATA IENT/0/
IF (LTRACE) CALL STRACE (IENT, 'DISTR')
!
SOMC = 0.
BDIR = .FALSE.
DO 10 ID0 = 1, MDC
TETA = SPCDIR(ID0,1)
ACOS = COS(TETA-DIR)
IF (ACOS .GT. 0.) THEN
BDIR = .TRUE.
CDIR(ID0) = MAX (ACOS**COEF, 1.E-10)
SOMC = SOMC + CDIR(ID0)
ELSE
CDIR(ID0) = 1.E-10
ENDIF
10 CONTINUE
IF (BDIR) THEN
CNORM = 1./(SOMC*DDIR)
DO 20 ID0 = 1, MDC
CDIR(ID0) = CDIR(ID0) * CNORM
20 CONTINUE
ENDIF
!
! ***** test *****
! IF(TESTFL .AND. ITEST .GE. 200)
IF( ITEST .GE. 200)
&WRITE(PRINTF,6010) CNORM,(CDIR(JJ) , JJ=1,MDC)
6010 FORMAT (' Test DISTR',F10.3/(10E12.4))
!
RETURN
! * end of subroutine DISTR *
END
!***********************************************************************
! *
SUBROUTINE KSCIP1 (MMT, SIG, D, K, CG, N, ND)
! *
!***********************************************************************
!
USE OCPCOMM4 40.41
USE SWCOMM3 40.41
!
IMPLICIT NONE
!
!
!
! --|-----------------------------------------------------------|--
! | 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
!
! 30.81: Annette Kieftenburg
! 40.22: John Cazes and Tim Campbell
! 40.41: Marcel Zijlema
! 41.16: Greg Wilson
!
! 1. Updates
!
! Aug. 94, ver. 10.10: arguments N and ND added
! Dec. 98, ND corrected, argument list adjusted and IMPLICIT NONE added
! 40.41, Aug. 04: tables replaced by Pade and other formulas
! 40.41, Oct. 04: common blocks replaced by modules, include files removed
! 41.16, Mar. 11: correction: add dk/dh to dn/dh
!
! 2. Purpose
!
! Calculation of the wave number, group velocity, group number N
! and the derivative of N w.r.t. depth (=ND)
!
! 3. Method
!
! --
!
! 4. Argument variables
!
! MMT input number of frequency points
!
INTEGER MMT
!
! CG output group velocity
! D input local depth
! K output wave number
! N output ratio of group and phase velocity
! ND output derivative of N with respect to D
! SIG input rel. frequency for which wave parameters
! must be determined
!
REAL CG(MMT), D,
& K(MMT), N(MMT), ND(MMT), SIG(MMT)
!
! 6. Local variables
!
! C phase velocity
! FAC1 auxiliary factor
! FAC2 auxiliary factor
! FAC3 auxiliary factor
! IENT number of entries
! IS counter in frequency (sigma-space)
! KND dimensionless wave number
! ROOTDG square root of D/GRAV
! WGD square root of GRAV*D
! SND dimensionless frequency
! SND2 = SND*SND
!
INTEGER IENT, IS
REAL KND, ROOTDG, SND, WGD, SND2, C, FAC1, FAC2, FAC3
!
! 8. Subroutines used
!
! --
!
! 9. Subroutines calling
!
! SWOEXA, SWOEXF (Swan/Output)
!
! 10. Error messages
!
! --
!
! 11. Remarks
!
! --
!
! 12. Structure
!
! -----------------------------------------------------------------
! Compute non-dimensional frequency SND
! IF SND >= 2.5, then
! Compute wave number K, group velocity CGO, ratio of group
! and phase velocity N and its derivative ND according to
! deep water theory
! ELSE IF SND =< 1.e-6
! Compute wave number K, group velocity CGO, ratio of group
! and phase velocity N and its derivative ND
! according to extremely shallow water
! ELSE
! Compute wave number K, group velocity CGO and the ratio of
! group and phase velocity N by Pade and other simple formulas.
! Compute the derivative of N w.r.t. D = ND.
! -----------------------------------------------------------------
!
! 13. Source text
!
SAVE IENT
DATA IENT /0/
IF (LTRACE) CALL STRACE (IENT, 'KSCIP1')
!
ROOTDG = SQRT(D/GRAV) 30.81
WGD = ROOTDG*GRAV 30.81
DO 200 IS = 1, MMT
! SND is dimensionless frequency
SND = SIG(IS) * ROOTDG
IF (SND .GE. 2.5) THEN
! ******* deep water *******
K(IS) = SIG(IS) * SIG(IS) / GRAV 30.81
CG(IS) = 0.5 * GRAV / SIG(IS) 30.81
N(IS) = 0.5
ND(IS) = 0.
ELSE IF (SND.LT.1.E-6) THEN
! *** very shallow water *** 30.81
K(IS) = SND/D 30.81
CG(IS) = WGD
N(IS) = 1.
ND(IS) = 0.
ELSE
SND2 = SND*SND 40.41
C = SQRT(GRAV*D/(SND2+1./(1.+0.666*SND2+0.445*SND2**2 40.41
& -0.105*SND2**3+0.272*SND2**4))) 40.41
K(IS) = SIG(IS)/C 40.41
KND = K(IS)*D 40.41
FAC1 = 2.*KND/SINH(2.*KND) 40.41
N(IS) = 0.5*(1.+FAC1) 40.41
CG(IS)= N(IS)*C 40.41
FAC2 = SND2/KND 40.41
FAC3 = 2.*FAC2/(1.+FAC2*FAC2) 40.41
FAC2 = -K(IS)*(2.*N(IS)-1.)/(2.*D*N(IS)) 41.16
ND(IS)= FAC1*(0.5/D - K(IS)/FAC3 + FAC2*(0.5/K(IS) - D/FAC3)) 41.16 40.41
ENDIF
200 CONTINUE
!
RETURN
! end of subroutine KSCIP1 *
END
!***********************************************************************
! *
SUBROUTINE KSCIP2 (MMT, SIG, D, K, CG, N, ND, DMW, DM)
! *
!***********************************************************************
!
USE OCPCOMM4
USE SWCOMM3
!
IMPLICIT NONE
!
!
! --|-----------------------------------------------------------|--
! | 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
!
! 40.59: Erick Rogers
!
! 1. Updates
!
! 40.59, Aug. 07: copy from KSCIP1 and adaption to muddy bottom
!
! 2. Purpose
!
! Calculation of the wave number, group velocity, group number N
! and the derivative of N w.r.t. depth (=ND) in case of muddy bottom
!
! 3. Method
!
! Wave number based on Ng (2000) and other quantities derived thereof
!
! 4. Argument variables
!
! MMT input number of frequency points
!
INTEGER MMT
!
! CG output group velocity
! D input local depth
! DM input local depth of mud layer
! DMW output mud dissipation rate
! (is the imaginary part of the wave number)
! K in/out (the real part of) the wave number
! N output ratio of group and phase velocity
! ND output derivative of N with respect to D
! SIG input rel. frequency for which wave parameters
! must be determined
!
REAL CG(MMT), D, DM,
& K(MMT), N(MMT), ND(MMT), SIG(MMT), DMW(MMT)
!
! 6. Local variables
!
! C phase velocity
! DTILDE normalized mud depth = mud depth / delta_m,
! delta is the sblt= sqrt(2*visc/sigma)
! FAC1 auxiliary factor
! FAC2 auxiliary factor
! FAC3 auxiliary factor
! GAMMA this is the gamma used in Ng pg. 238. this is
! density(water)/density(mud)
! IENT number of entries
! IS counter in frequency space
! KINVISM kinematic viscosity of mud
! KINVISW kinematic viscosity of water
! KMUD (local) muddy wave number
! KND dimensionless wave number
! RHOM density of mud
! RHOW density of water
! SBLTM a function of viscosity and frequency
! ZETA this is zeta as used in Ng pg. 238. it is the
! ratio of Stokes boundary layer thicknesses,
! or delta_m/delta_w
!
INTEGER IENT, IS
REAL C, DTILDE, FAC1, FAC2, FAC3, GAMMA, KINVISM,
& KINVISW, KMUD, KND, RHOM, RHOW, SBLTM, ZETA
!
! 8. Subroutines used
!
! --
!
! 9. Subroutines calling
!
! --
!
! 10. Error messages
!
! --
!
! 11. Remarks
!
! --
!
! 12. Structure
!
! --
!
! 13. Source text
!
SAVE IENT
DATA IENT /0/
IF (LTRACE) CALL STRACE (IENT, 'KSCIP2')
!
RHOM = PMUD(2)
KINVISM = PMUD(3)
RHOW = PMUD(4)
KINVISW = PMUD(5)
!
ZETA = SQRT(KINVISM/KINVISW)
GAMMA = RHOW/RHOM
!
DO IS = 1, MMT
KND = K(IS)*D
IF ( KND.LT.10. .AND. DM.GT.1.E-5 ) THEN
SBLTM = SQRT(2.*KINVISM/SIG(IS))
DTILDE = DM/SBLTM
! calculate muddy wave number and dissipation rate using Ng (2000)
CALL NG(SIG(IS),D,DTILDE,ZETA,SBLTM,GAMMA,K(IS),KMUD,DMW(IS))
K(IS) = KMUD
! calculate ratio N, CG and derivative of N w.r.t. D
KND = K(IS)*D
IF ( KND.LT.35. ) THEN
FAC1 = 2.*KND/SINH(2.*KND)
ELSE
FAC1 = 2.E-30*KND
ENDIF
N(IS) = 0.5*(1.+FAC1)
C = SIG(IS)/K(IS)
CG(IS) = N(IS)*C
FAC2 = SIG(IS) * C / GRAV
FAC3 = 2.*FAC2/(1.+FAC2*FAC2)
FAC2 = -K(IS)*(2.*N(IS)-1.)/(2.*D*N(IS))
ND(IS) = FAC1*(0.5/D - K(IS)/FAC3 + FAC2*(0.5/K(IS) - D/FAC3))
ELSE
DMW(IS)= 0.
ENDIF
ENDDO
!
RETURN
! end of subroutine KSCIP2 *
END
!************************************************************************
! *
SUBROUTINE NG(SIGMA,H_WDEPTH,DTILDE,ZETA,SBLTM,GAMMA,WK,WKDR,DISS)
! *
!************************************************************************
!
USE OCPCOMM4
!
IMPLICIT NONE
!
!
! --|-----------------------------------------------------------|--
! | 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
!
! 1.00: Jim Kaihatu
! 40.??: Erick Rogers
! 40.59: Erick Rogers
!
! 1. Updates
!
! 1.00, Dec. 04: original
! 40.??, Mar. 05: adapted for SWAN
! 40.59, Aug. 07: included patch provided by Jim Kaihatu
! and finalized
!
! 2. Purpose
!
! Computes the muddy wavenumber using Ng (2000)
!
! 3. Method
!
! Reference: Ng, C.O., 2000. Water waves over a muddy bed:
! a two-layer Stokes boundary layer model
! Coastal Engineering 40(3), 221-242
!
! 4. Argument variables
!
REAL, INTENT(IN) :: SIGMA ! radian frequency (rad)
REAL, INTENT(IN) :: H_WDEPTH! water depth, denoted "h" in Ng (m)
REAL, INTENT(IN) :: DTILDE ! normalized mud depth = mud depth / SBLTM,
! delta is the sblt= sqrt(2*visc/sigma)
REAL, INTENT(IN) :: ZETA ! this is zeta as used in Ng pg. 238. it is
! the ratio of Stokes boundary layer
! thicknesses, or SBLTM/delta_w
REAL, INTENT(IN) :: GAMMA ! this is the gamma used in Ng pg. 238.
! this is density(water)/density(mud)
REAL, INTENT(IN) :: SBLTM ! SBLTM is what you get if you calculate
! sblt using the viscosity of the mud,
! SBLTM=sqrt(2*visc_m/sigma)
! .....also delta_m
REAL, INTENT(IN) :: WK ! unmuddy wavenumber
REAL, INTENT(OUT) :: WKDR ! muddy wavenumber
REAL, INTENT(OUT) :: DISS ! dissipation rate
!
! 5. Local variables
!
INTEGER :: IENT
REAL :: B1 ! an Ng coefficient
REAL :: B2 ! an Ng coefficient
REAL :: B3 ! an Ng coefficient
REAL :: BR ! an Ng coefficient
REAL :: BI ! an Ng coefficient
REAL :: BRP ! an Ng coefficient
REAL :: BIP ! an Ng coefficient