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2010 ANSYS, Inc. All rights reserved. 1 ANSYS, Inc. Proprietary
2010 ANSYS, Inc. All rights reserved. 1 ANSYS, Inc. Proprietary
AQWA Training Course
Dr Shuangxing Du
ANSYS Inc.
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The topics covered in the training course are as follows:
description of program capabilities
theoretical background modelling techniques
analysis procedure
data requirements and preparation description of output and interpretation of results
worked examples
Topic
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AQWA Programs
Structure and Capabilities of AQWA ProgramsAQWA LINE
3-D diffraction & radiation analysis program for wave force and
hydrodynamic property calculations; hydrostatic analysis
AQWA LIBRIUM
Structure equilibrium position and force balance calculations; eigen
mode and dynamic stability analysis
AQWA FER
Spectral analysis of structure motion (wave frequency or/and drift
frequency) and mooring tension in irregular waves
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AQWA Programs
AQWA NAUT Time domain program for wave frequency structure motion and
mooring tension analyses in large waves
AQWA DRIFT
Time domain program for drift frequency and wave frequencystructure motion and mooring tension analysis in irregularwaves
AQWA Graphical Supervisor (AGS)
AQWA pre and post processor; on-line analysis
AQWA WAVE Interface program to transfer wave loads from AQWA LINE to a
FE model for structural analysis
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General Relations between Programs
LIBRIUM
WAVE
ASAS(FE model)
ANSYSAGS
FER NAUT DRIFT
LINE
EXCEL
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Moored Tanker
Semi Sub
Typical AQWA Models
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Transportation
FPSO
Spar
Ship in channel
Typical AQWA Models
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JACK-UP
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FPSO+TLP CONCEPT
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MANY SHIPS
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SEMI-SUB
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LIFTING
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GREEN OCEAN ENERGY
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ANSYS-to-AQWA Interface
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AGS mesh generation
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Force & Response Curves
Shear Force & Bending Moment
AGS Post-processing
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Pressure contour
Wave surface contour
Diffracted wave surface
AGS Post-processing
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InstallationAQWA, AGS and AQWA-WAVEAQWA Manuals and examples
AGS demonstration
Open - Open/close, and save AQWA modelsEdit - Create and edit AQWA models
Run - Perform an AQWA analysis on the presently loaded modelGraphs - Display and manipulate AQWA results graphicallyPlots - Display and edit AQWA models visuallyCable Dynamics - Define and analyze problems involving cable dynamics
Help - Access to the online help system
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AQWA Global Coordinate System
AQWA Global Coordinate System is referred to as
the Fixed Reference Axes (FRA):
the origin lies in the still water
plane
the positive z axis is verticallyupwards
a right handed system
it is not related to the directions North, South, East and West
0
z
y
xW.L.
Zp
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Hydrostatic
Rigid body motions:Surge, Sway, Heave - translational
Roll, Pitch, Yaw - rotational
Archimedess principle
Buoyancy of an immersed body = weight of the fluid displaced
Hydrostatic pressure
G: centre of gravity
B: centre of buoyancy
Buoyancy is the resultant of all hydrostatic force over wetted surface
0Zp =
0Zp =Z0
G
B
BowStern Port side
Starboard side x
z
y
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Directions in AQWA
The wave, wind and current directions are defined in AQWA
as the directions which they are travelling towards.
The direction is defined as the angle between the wave (orcurrent, wind) and the positive x axis measured anti-clockwise.
Directions in AQWA are input and output in degrees.
X axis
Wave direction (or current, wind)
positive angle
Y
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Phase Angle
In AQWA, the phase angle ( in degrees) of aparameter defines the time difference (dt) from thetime when the wave crest is at the CoG of thestructure to the time when the parameter reaches its
peak value. (dt= *T/360, where T is the waveperiod).
A positive phase angle indicates that the parameter
lags behind the wave.
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Waves in AQWA
Wave Types:
1) Airy Waves (linear wave)
a = A cos (-t + kx)
(: frequency in radians/sec; k: wave number)
Used in AQWA LINE, LIBRIUM, FER, DRIFT, NAUT(optional)
2) Stokes 2nd Order Wavesa = A cos (-t + kx) + 0.5 k A cos2(-t + kx)
Used in AQWA NAUT by default
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Waves in AQWA
Wave Forms:
1) Regular Waves
Used in AQWA LINE, NAUT (by default)
2) Irregular Waves
Defined by a wave spectrum and used in AQWALIBRIUM, FER, DRIFT, NAUT
Imported time history of wave elevation
used in AQWA DRIFT
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Waves in AQWA
Wave spectrum types accepted in AQWA are:
a. P-M spectrum
b. JONSWAP spectrum
c. User defined spectrumd. Gaussian spectrum for Cross Swell
Irregular waves can be in the form of:
a. Long crested waves; ORb. Short crested waves, ie a spread sea (only for AQWALIBRIUM and FER)
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Wind and current in AQWA
Wind types accepted in AQWA are:
a. Uniform windb. Ochi and Shin wind spectrumc.API wind spectrum
d. NPD wind spectrume. User-defined wind spectrum
Current types accepted in AQWA are:
a. Uniform currentb. Profiled current velocity
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Wave Forces on Structures
For Diffracting Structures (modelled with plate elements)
- Incident wave force (Froude-Krylov force): from thepressure in the undisturbed waves.
- Diffraction force: due to stationary structuredisturbing the incident waves.
- Radiation force: due to structures oscillation which
generates waves.
- Drift force (net force due to high order effect)
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hydrodynamic forces on structures(1) on Diffraction elements
Fluid force
HydrodynamicHydrostatic
Wave exciting force
Ambient pressure
(incident wave or
Froude-Krylov force)
Effect of structure
on waves
(Diffraction)
Radiation force due
to structure motion
In-phase
(Added Mass)
Out-of-phase
(Radiation
damping)
F() K.xMa().x C().x
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For Morison Structures (modelled with Morisonelements, eg TUBEs, DISCs)
- Morison force (including drag) calculated
using Morison equation.
hydrodynamic forces on structures(2) on Morison elements
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Morison Force
Equation for Morison force calculation
For slender cylindrical elements (D/
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AQWA LINE - Introduction
AQWA-LINE is a 3D diffraction and radiation analysis program
Frequency domain
Structures are described by a number of panels
Source distribution approach (boundary integration method)A source is place at the centre of each panel and then the program solves forthe source strengths, subject to the boundary conditions:no flow through the hullno flow through the sea-bed
a free surface condition
Surface mesh
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AQWA LINE - Features
Removal of irregular frequencies by auto-generated lid
Multi-body hydrodynamic interactions (lid to suppress standing waves)
Forward speed This enables the pressure and velocity to be found at any point
Second order forces Mean drift forces:
Far field momentum theory
Near field pressure-motion integration method
Full QTF matrix (difference & sum frequency components)
AQWA-LINE provides hydrodynamic coefficients for use in other programs in theAQWA suite
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Theory in AQWA LINE
Assumptions Ideal fluid, irrotational and incompressible small wave elevation
Governing equation for the velocity potential
Body boundary condition (Timman-Newman relations)
)(02 == V
jje
j
Umnin +=
)(r
),,0(/)]([),,(
,0/)]([),,(
),,(
,),,(
23654
321
654
321
nnUUxmmm
UUxmmm
nnn
nnn
s
s
=+=
=+=
=
=
rn
n
nr
n
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Theory in AQWA LINE
Linearized free surface condition
Sea bed boundary condition
Radiation conditionA physical condition to avoid mathematical ambiguity which couldresult in structure induced waves travelling in the wrong direction
watershallowforbedseadzatz
waterdeepforzwhen
)(0
0
==
=
02
=
gz
e
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Theory in AQWA LINE
Numerical method
Linear superposition of 1st order potential components
I for incident wave, d for diffracted wave,j =1,2,,6 for radiated wave in 6 degrees of freedom,xj: the structure motion for unit wave amplitude
Forward speed effect: Encounter frequency
: angle between incident wave and forward speed
,][ 6
1
tij
j jdI
eex
=++=
)cos1(
g
Ue =
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Theory in AQWA LINE
Incident wave potential for finite water depth d
in which k is the wave numberdefined by:
Solution for diffracted and radiated wave potentialsusing pulsating source distribution
)cosh(
)](cosh[ )sincos(
kd
eedzkige
tiyxikti
I
++ +=
)tanh(2 kdgk=
dszyxGzyx
bs
= ),,;,,(4
1),,(
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Theory in AQWA LINE
Greens function (finite depth water, frequency domain):
Database method used for efficient and accurate evaluation
Minimum input frequency (rad/s): d: water depth
)()(cosh)(cosh)(
(2
)()(cosh)(cosh)cosh()sinh(
)(
2
11
),,;,,(
022
)22
00
'
krJdkdzkdk
ki
drJdzddd
e
pv
RR
zyxG
d
+++
+
++
+
+
+=
dg/*05.0
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Theory in AQWA LINE
The source strength at each panel on the structure surfaceis assumed constant,
calculated by solving the body boundary condition:
For the diffraction potential, the induced normal velocity
at the structure surface should negate that due to incident potential;
For the radiation potentials, the induced normal velocities (in 6 degrees
of freedom) should be the same as those due to structure motion.
ds
n
zyxGzyx
n
zyx
bs
+=
),,;,,(
4
1),,(
2
1),,(
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Theory in AQWA LINE
Pressure and 1st order wave force calculationHydrodynamic pressure on each panel can be calculated
from the linearized Bernoulli equation:
1st order wave forces are obtained by integratingthe pressure over the mean wetted body surface.
Froude-Krylov and diffraction force
Added mass and damping
Restoring (hydrodynamic stiffness)
Special cases
dSx
UinF dIS ejej b))(()( +
+=
dS
x
UinCiM jS eieijeeijae b )()()(2
+=+
tgwp =)1(
dSwngK jbS iij =
mgdSwngKmgdSwngKbSbS
+== 42245115 ,
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Theory in AQWA LINE
Second order forces
Perturbation approach (: small number related to wave amplitude)
If the 1st order motion/potential/force in the form of
then the 2nd order force in
mean 2nd order force components ( )
...)(2
1 )2(2)1()0( +++=+= pppgZp t
...),,( )2(2)1()0( +++== XXXZYXX
Different freq. components
Sum freq. components
)cossin()(1
)1(tbtatF iiii
N
i
+==
]})cos[(])sin[(
])cos[(])sin[({)( 1 1
)2(
tfte
tdtctF
jiijjiij
jiijjiij
N
i
N
j
++++
+ == =
ji =
ii
N
i
dF =
=1
)2(
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2nd order mean drift force calculation
Far field solution (momentum conservation method):
SR: vertical cylindrical boundary surrounding the structurein the flow field with a large radius R,
: fluid volume surrounded by SR and the structure surface.
- More accurate- Horizontal force/moment only- Single structure only (or multi-bodies without hydrodynamic interaction)
SdpdSVVdtV
SdpdVdt
dF
RR
R
S
n
S
n
S
nstrc
=
=
)2(
Theory in AQWA LINE
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Theory in AQWA LINE
Near field solution(pressure/motion integration method):
WL: mean water line along the structure surface;Sb : mean structure wetted surface
- Force/moment in 6 degrees of freedom for each structure- Multi-body hydrodynamic interaction
..
22)2(
..).(
5.05.0
gs
bS
bSWLrstrc
XRMdSnt
X
dSndlngF
++
+=
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Theory in AQWA LINE
Full Quadratic Transfer Function (QTF) Components at both difference and sum frequencies Each with in-phase and out-of- phase parts
2-D plot of QTF(real)
AGS -> File ->openGraph -> Function/processing
-> Data processing -> Wave forces-> Full-coupled QTFs -> 2-D plot
CQTF card in Options on Deck 0
( ) ( )[ ] ( ) ( )[ ]{ }
( ) ( )[ ] ( ) ( )[ ]{ } ++++++
+++++=
= =
+
= =
+
N
i
N
jjijiijjijiij
N
i
N
jjijiijjijiij
tQtQ
tPtPtF
1 1
1 1
)2(
sinsin
coscos)(
jijiijP /),(
1 2 j . n
1
2
i
n
Diagonal: Mean drift force/unit wave of 2
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Theory in AQWA LINE
similar to above
potentialorder2nd..
Momentum..
onAccelerati).(
Bernoulli.
integralWaterline)cos(.
)2(
..
2
1
41
41)(
+
+
+
+
=
bS
jis
j
ibS
ji
bS
WLjijiij
dSn
t
XgRM
dSntX
dSn
dlngP
)(ijQ
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Theory in AQWA LINE
Equation of motion in AQWA LINE
The response X (RAO) of a structure in waves is calculatedby solving the equation of motionin the frequency domain for unit wave amplitude:
where Ms is structure massMa is added mass (frequency dependent)C is damping (frequency dependent)
K is hydrostatic stiffnessF is wave force (incident and diffracting forces).
)()(])())(([ 2 FXKCiMM as =++
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Fluid forces on structures
Fluid force
HydrodynamicHydrostatic
Wave exciting force
Ambient pressure
(incident wave or
Froude-Krylov force)
Effect of structure
on waves
(Diffraction)
Radiation force due
to structure motion
In-phase
(Added Mass)
Out-of-phase
(Radiation
damping)
F() K.xMa().x C().x= + +
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using ANSYS
Install ANSYS-AQWA interface(1) copy anstoaqwa.mac to C:\Program Files\Ansys Inc\v110\ANSYS\APDL(2) open C:\Program Files\Ansys Inc\v110\ANSYS\APDL\start110.ans,
insert *ABBR, AQWA, ANSTOAQWA
run ANSYS
Notes:(1) define geometry of wetand dry surface separately;Z-axis upwards;
(2) SHELL63 for surface mesh,PIPE59 for tube;
(3) check normal direction(blue: outside; pink: inside);
(4) Click AQWA to outputAQWA data file;
(5) COG and mass need to bemodified.
Modelling (1)
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Using AGS (with AL****.LIN fi le)
Notes on AL****.LIN fi le (seeAGS-Help for details):
(1) each station starts from lowest point at centre plane;(2) all x-coordinates should be the same on each station;(3) max. 50 points on each station, condense points at high surface change;(4) input stations (max. 100) from stern to bow,
only two stations are needed to define a parallel midbody section.
run AGS(1) double clickAGS icon on screen;(2) Plots Select Lines Plan File (in Lines Plan Mesh Generation window)
open to find the *.lin file to be opened;(3) Plot Lines (in Lines Plan Mesh Generation window) to show offset curves;(4) input two drafts; COG, mesh size (in Lines Plan Mesh Generation window) ,
then Generate Mesh;(5) File Save *.DAT (in Lines Plan Mesh Generation window)
to save the generated file.
Create model (Approx. Dimensions: 200x40x15, mesh size:6)Notes: PMAS values in Deck 4 may need to be modified (data\lines\altank.lin)
Modelling (2)
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AQWA File Names
EveryAQWA file name has three parts:
(1) file prefix (two characters) - a code to identify the programal LINEab LIBRIUMaf FERad DRIFT
an NAUTaw WAVE
(2) run identifier(up to six characters) - a name to identify the run
(3) file extension (three characters)to identify the type of file (eg, .dat)
Example: altank1.dat (input data), abtank1.lis (output list file)
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AQWA Global/User defined Systems
AQWA Global Coordinate System (FRA): the origin lies in the still water plane
the positive z axis is vertically upwards
Right handed
0
Z
XW.L.
x
z
a
COG
ZLWL(deck2)
ZCGE(deck7)
User Defined SystemRight handed,oxy plane shifts vertically from OXY of FRA
R St 1 2
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Run stages 1 2
Use the model generated by AGS Be aware of warning messages
Check al**.lis file (displacement, mass, stiffness) Check geometry throughAGS
Run Stages 1-2
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Check geometry through AGS
Zooming, Rotating, Shade, Showing diff panels, Numbering;
Command: omit element -> Plot (to omit all the elements)
select element 1 to 10 ->Plot (to display el#1-10 only)
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AQWA File Types
Each AQWA run involves several files.
The names of the files differ only in the file extension.
ASCII INPUT FILES.dat input data file (LBDNF)
.lin input file forAGS mesh generator
.msd input mass distribution for BM/SF (AGS)
.sfm input mass distribution for splitting forces (AGS)
.wht a wave height time history with IWHT in Deck 13 (D)
.wvt a wind velocity time history, no card needed (DN)
.xft an external force time history acting on a structure
no card needed (DN)
.mor mooring description file with FILE in Deck 14 (BDNF)
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AQWA File Types
INPUT/OUTPUT FILES (between stages).res restart file (binary, LBDNF)
.hyd hydrodynamics file (binary, L)
.eqp equilibrium position file (binary, B)
.uss source strength file (binary, with LDOP in Deck 0, L)
.pot potential file (binary, with LDOP in Deck 0, L)
OUTPUT FILES.mes output message file (ASCII, LBDNF)
.lis output listing file (ASCII, LBDNF)
.pos output position file (binary, DN)
.plt output graphic file (binary, LBDNF)
.pac pressures at centroids (binary, L)
.vac velocities at centroids (binary, L)
See AQWA-Ref 1.3 for details
I t D t ( d t) Fil
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Input Data (.dat) File
ASCII text file containing all the input data necessary forthe Stages of Analysis about to be executed.
in fixed format and must be entered using a text editor.
an editor that indicates the column & line no. of
the current cursor position is highly recommended.
Note: A graphical user interface, which allows interactive data input in a user-friendlyenvironment, is currently under development.
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AQWA-LINE Example Data File
Deck 0: overall
administration parameters
Deck 1: Node coordinates
* 999 for PMAS node
Deck 2: Element definitions
Analysis Stages
JOB MESH LINE
TITLE MESH FROM LINES PLANS/SCALING
OPTIONS REST ENDRESTART 1 2
*Deck 1 Coordinates --------------
01 COOR
01 1 45.000 -45.000 0.000
01 2 22.500 -45.000 0.000
. . .
01 511 146.000 0.000 0.000
. . .
END01 999 0.000 0.000 -10.620
*Deck 2 Element Definitions -------------
02 ELM1
02SYMX
02SYMY
02QPPL DIFF 0 (1)( 1)( 2)( 12)( 11)
. . . .02QPPL 0 (1)( 1)( 101)( 103)( 3)
. . . .
END02PMAS 0 (1)( 999)( 1)( 1)
02 FINI
Note: Symmetry card
(1) Save pre-processing time
(2) Save CPU time
(3) Enlarge capability
(4) But only for QPPL/TPPL
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*Deck 3 Material Properties - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
03 MATEEND03 1 3.32100E8
* Deck 4 Geometric Properties ---------------------------------------------------
04 GEOM
END04PMAS 1 3.6253E11 0.000000 0.000000 3.4199E11 0.000000 3.5991E11
* Deck 5 Global Data ------------------------------------------------------------
05 GLOB
05DPTH 250.0
05DENS 1025.0END05ACCG 9.806
* Deck 6 Wave Frequencies and Directions ----------------------------------------
06 FDR1
06FREQ 1 6 0.10472 0.15708 0.25133 0.41888 0.52360 0.59840
END06DIRN 1 3 0.00 45.00 90.00
* Deck 7 Analysis Position ------------------------------------------------------
07 WFS1END07ZCGE -10.6200
*------------------------------------------------------------------------------
08 NONE
* 1 2 3 4 5 6
*234567890123456789012345678901234567890123456789012345678901234567890
AQWA-LINE Example Data File (cont)
Deck 5: Defines the UNITSfor the analysis, seeApp. A
In degrees, ascending order
Deck 6: Analysis position
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Directions in AQWA
Directions must be input in ascending sequence (41 max.):
-180 to +180 degrees for a non-symmetric structure;
0 to 180 degrees for a structure symmetric about x axis (SYMX);
0 to 90 degrees for a structure symmetric about
both x and y axes (SYMX and SYMY).
y
x
v
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AQWA Data file format
JOB MESH LINETITLE MESH FROM LINES PLANS/SCALING
OPTIONS REST END
RESTART 1 2
4col 4col5 col5 col 10 cols 10 cols 10 cols
01 COOR
01 1 45.000 -45.000 0.000
END01 999 0.000 0.000 -10.620Column 21
02 ELM1
02QPPL DIFF 0(1)( 1)( 2)( 12)( 11)
06FREQ 1 6 0.10472 0.15708 0.25133 0.41888 0.52360
Note: Most input data should be typed into the required columns !!!SeeAQWA-Reference Chapter 4 for details
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Listing (.lis) File
ASCII text file containing most output data (in text form)
from the Stages of Analysis which have just been executed.
It can be examined using a text editor.
( )
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Restart (.res) File
This is a binary file,
written by all the AQWA programs,
contains database associated with all the Stages of
analysis which have so far been executed.
Examples:
If Stages 1 to 4 have been executed, it will contain:
(1) model definition(2) hydrodynamic database
(3) main analysis parameters
H d d i ( h d) Fil
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Hydrodynamic (.hyd) File
This is a binary file
created byAQWA-LINE after the diffraction / radiation analysis (Stage 3).
contains the hydrodynamic database from theAQWA-LINE run.
Comparison of AL**.RES and AL**.HYD (afterAQWA-LINE Stage 3)
restart file(RES) hydrodynamics file(HYD)
model definition
hydrodynamic database hydrodynamic database
further run further run
Used for AGS manipulate (ALDB in Deck 0,
regenerate .HYD file (RDDB) FILE in Deck 6 )
P iti Fil ( d )
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Position Files (.pos and .eqp)
Both are binary files.
AB***.eqp file: created by AQWA LIBRIUM stores the equilibrium positions of a system of structures.
can be read in by FDN as start position(with an option RDEP in Deck 0).
A****.pos file: created during a time domain analysis by DN
stores the positions, velocities, etc of a system of structuresfor every time step.
AGS Pl t Fil ( lt)
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AGS Plot File (.plt)
This is a binary file
created during a calculation stage (Stage 3 or 5)
contains either:
time history of forces and motions (DN) positions and forces during iteration
towards equilibrium (B) forces and responses as a function of
frequency (LF)
forAGS use
AQWA R t t St
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AQWA Restart Stages
Stages: Categorize analysis procedures
Can be run individually/in combination Data transfer through stages
Stage 1 Model Definition, Decks 1 to 5
Stage 2 Hydrodynamic Database, Decks 6 to 8
Stage 3 Diffraction/Radiation Analysis* (L)
Stage 4 Main Analysis Parameters Decks 9 to 20 (BDNF)
Stage 5 Main Analysis* (BFDN)
* Calculation Stages only
St 1
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Stage 1
Decks: Categorize input data
Deck 1 COOR Node Coordinates
Deck 2 ELM* Element Definitions
Deck 3 MATE Material Properties
Deck 4 GEOM Geometric Properties
Deck 5 GLOB Global Constants
Deck Header (compulsory)
Depth, G, (water): UNITS
Structure Number
St 2
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Stage 2
Deck 6 FDR* Regular Wave Definitions
(1) frequencies and directions(2) copy, merge, edit the existing hydrodynamic database.
Deck 7 WFS* Hydrodynamic Properties (wave freq. range)
Hydrostatic Properties (stiffness and buoyancy)
Analysis Position (ZCGE, can be replace by ZLWL in Deck2)
Deck 8 DRC* Drift Force Coefficients
* Structure Number
Note: The hydrodynamic properties input in Stage 2 are used to
modify or replace those calculated by AQWA-LINE (Stage 3)
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Stage 3
This is the main AQWA-LINE analysis and is a calculationstage only.
Note: The hydrodynamic properties input in Stage 2
are used to modify or replace those calculated
by AQWA-LINE (Stage 3)
Stage 4
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Stage 4
Deck 9 DRM* Drift Motion Parameters (drift freq.)
(drag, added mass/damping)
Deck 10 HLD* Hull Drag Coefficients(1) current/wind drag coefficients(2) external force by user_force.dll (with option FDLL)
Deck 11 ENVR Environmental Parameters (wind and current)
Deck 12 CONS Constraints (deactivate/constraint)
Deck 13 SPEC Spectral Parameters(wave, wind spectrum / time history)
WAVE Regular Wave Parameters (N)
Deck 14 MOOR Mooring Line Definitions(mooring, fender, pulley, winch)
* Structure Number
Stage 4 (cont)
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Stage 4 (cont)
Deck 15 STRT Starting Conditions (BFDN)
Deck 16 TINT Time Integration Parameters (D,N)
LMTS Iteration Parameters (B)
Deck 17 HYDC Additional Hydrodynamic Parameters for Tubes
(scaling & slamming factors , N)
Deck 18 PROP Printing Options (for additional information)
Deck 19/20 NONE Reserved for future use
St 5
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Stage 5
This is the main solution stage and is a calculation stage only.
Deck 21 ENLD Element and nodal loads
(on TUBEs, Stage 6, DN)
AQWA Element Types
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AQWA Element Types
Elements are defined in AQWA Deck 2:
QPPL : Quadrilateral panel (diffracting or non-diffracting)
TPPL : Triangular panel (diffracting or non-diffracting)
TUBE : Tube element (circular cross section)
STUB : Slender tube element (non-circular cross section allowed)PMAS: Point mass and inertia
PBOY: Point buoyancy
FPNT : Field point (for wave surface calculation)DISC : Circular disc with no thickness.
Notes:(1) DIFF is needed for diffracting QPPL and TPPL elements;
(2) ILID/VLID for defining external diffracting elements;
Definition of other elements
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Define TUBE element
See APP H
Define DISC elements
Program nameOB MESH NAUTTI TLE TUBES AND DI SCSOPTI ONS REST END
RESTART 1 501 COOR010001 10. 0 0. 000 2. 000010002 10. 0 0. 000 0. 000010003 10. 0 0. 000 - 3. 000
END01 999 0. 00 0. 000 - 0. 50002 ELM102TUBE ( 2) ( 1, 1) ( 2, 1) ( 1) ( 1)02DI SC ( 1) ( 3) ( 2) ( 3)02DI SC ( 1) ( 1) ( 2) ( 3)
END02PMAS ( 1) ( 999) ( 2) ( 2)03 MATE03 1 1. 00E- 6
END03 2 4025. 0004 GEOM
04TUBE 1 1. 00 0. 05 0. 0004CONT 0. 75 1. 0004DI SC 3 1. 2004CONT 1. 14 1. 00
END04PMAS 2 6000. 00 0. 00 0. 00 6000. 00 0. 0 4000. 00
05 GLOB05DPTH 500. 005DENS 1025. 0
END05ACCG 9. 806. . . . . .20 NONE
Warnings in AQWA-LINE
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g Q
General warnings
requirements reason
No. of elements 8000 diff. solution time
12000 totalNormals point out modelling convention
No gaps force balance
Facets cannot cut surface solution requirement
Dimensions < KR good practice
Warnings in AQWA-LINE
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g Q
Stage #1 checks (Geometric properties)
Area ratio of adjacent elements < 3
Aspect ratio > ,(c=1, for QPPL; c=2.3, for TPPL)
Element centres at least onefacet radius apart
Shape factor (parameter for the regularity of panel)
< 0.2 warning
< 0.02 fatal error
Note: SeeAQWA-Course Appendix 3 for detail
Csidelongest
areaAR .
2
arearf
Warnings in AQWA-LINE
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g
Stage #2 checks (hydrodynamic)
Longest side < 1/7 wavelength
Fatal error if more than 5% fail
Distance above sea bed must be > 0.5.rf(use non-diffraction elements otherwise)
Warning if nodes not connected to anotherelement(for pressure contour, NPPP in Deck 0 overrides warning)
Minimum wave frequency (rad/s) > dg /*.050
AQWA-LINE run
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Run stages 1 - 3
use generated model (altank1.dat altank2.dat) add LDOP, GOON option, check mass and inertia moments discuss .dat file discuss .lis file AGS to show results and functions
Useful Options in AQWA-LINE (1)
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p ( )
Following option cards can be used in Deck 0:
DATA check input data (equivalent to Stages 1-2, LBDFN)
GOON ignore non-fatal modelling rule violations (L)
REST define restart stages (LBDFN)
LDOP LOad OutPut - outputs .POT and .USS files needed for
pressure calculations (e.g pressure plots, SF/BM) (L)
PRCE PRint Card Echo for Decks 1 5 (LBDFN)PPEL Print Properties for each Element (LBDFN)
Useful Options in AQWA-LINE (2)
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p ( )
NPPP No Pressure Post-Processing - prevents nodalconnectivity warnings (L)
CRNM Re-calculate RAOs (LF)
NRNM Calculate nodal RAOs(L)
NQTF Use near-field solution for drift force coefficients (L)
CQTF Calculate QTF matrix (L)
AQWA-LINE Post Processing
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AQWA-LINE Post Processing
Wave surface contour plots
Note:
LDOP card in al*.dat file run AGS
(1) double-clickAGS icon on screen;(2) File Open to input al*.res file;(3) Plots to show the model;(4) Wave Contours to show or calculate wave contour if not existing;(5) choose required waves (dir. freq. in Wave Surface Contours window);(6) tick Cycle to animate;(7) point Cursorto a specified location to show the numerical value at that point.
AQWA-LINE Post Processing
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AQWA-LINE Post Processing
Air Gap
Note: LDOP card in al*.dat file run AGS
(1) double-clickAGS icon on screen;(2) File Open to input al*.res file;(3) Plots to show the model;
(4) Wave Contours to show or calculate wave contour if not existing;(5) choose required waves (dir. freq. amp. in Wave Surface Contours window);(6) RAO Motion Ref. Height(Z) above SWL Include RAO motion;(7) tick Cycle to animate;(8) point Cursorto a specified location to show the numerical value at that point.
AQWA-LINE Post Processing
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AQWA-LINE Post Processing
Pressure Contours
Note:
run AGS
(1) double-clickAGS icon on screen;(2) File Open to input al*.res file;
(3) Plots to show the model;(4) Select (in Model Visualization window) Pressure Contours;
(5) choose required waves (dir. freq. in Pressure Contours window) Time=t to animate;(6) Select (in Model Visualization window) Sequence
(7) Start Sequence (in Define Sequence window) Stop Sequence Record Every save sequence files if required
(8) Hardcopy Output .bmp on playback Rewind BMP FILE DUMP (yes)
(9) Using a software to convert .BMP file into .gif file which may be replayed by internetexplorer or .avi file which can be insert into Powerpoint
AQWA-LINE Post Processing
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AQWA LINE Post Processing
Diffracted Wave Surface
Note:
LDOP card in al*.dat file run AGS
(1) double-clickAGS icon on screen;(2) File Open to input al*.res file;(3) Plots to show the model;
(4) Select (in Model Visualization window) Pressure Contours;(5) choose required waves (dir. freq. in Pressure Contours window) Time=t to animate;(6) View Angle (in Pressure Contours window) Choose view angle (in Contour View Angle window)(7) Option (in Pressure Contours window) Wave Amplitude & Diffracted Wave Surface
(in Hull Contours / Diffracted Wave Option window);(8) Select (in Model Visualization window) Sequence(9) Start Sequence (in Define Sequence window) Stop Sequence Record Every
AQWA Database Manipulation
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AQWA Database Manipulation
Structure number inALTANK2
Reason: without re-running the full AQWA-LINE analysis,
add in additional nodes, elements, damping etc;
combine several databases into one.
Example 1: modify nodes & elements of single structure
(1) copy existing data file ALTANK2.DAT to ALTANK3.DAT;(2) add new nodes, (non-diffracting) elements
(3) delete all wave frequency and direction cards in Deck 6,
change this deck into:06 FDR1
06FI LE ALTANK2. HYD06CSTR 1
END06CPDB
(4) runAQWA-LINE for ALTANK3.DAT (which takes a few seconds).
AQWA Database Manipulation
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(cont.1)
New card to add damping
Columns 51-60 for rolldamping
Structure number in AL1
Structure number in AL2
Example 2: modify damping of single structure
(1) copy existing data file ALTANK3.DAT to ALTANK4.DAT;(2) delete all wave frequency and direction cards in Deck 6,
change this deck into:
06 FDR1
06FI LE ALTANK2. HYD06CSTR 1END06CPDB
(3) add new damping coefficients(CRNM option needed for RAO recalculation);
07 WFS1
07ZCGE 0. 0000END07FI DD 1. 000E09
(4) runAQWA-LINE for ALTANK4.DAT (which takes a few seconds).
Compare the RAOs in ALTANK3 and ALTANK4 usingAGS (merging curves)
AQWA Database Manipulation
(cont 2)
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(cont.2)
Multiple structure database combination
(1) merging without hydrodynamic interaction
run each model (AL**1.dat and AL**2) individually;
include all structure definitions in the new AL**3.DAT file
add corresponding file name in DECK 6 FILE card inAL**3.DAT for each structure
(2) modify nodes etc for hydrodynamic interaction model
Similar to Example 2, but in Deck 6 only the first structure needs to beinput for each interaction group.
NOTE: When CQTF is used, manipulation can been done in version 12.0 thereafter
AQWA LIBRIUM introduction
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Equilibrium position, Static and Dynamic stability
- Complex ship/ offshore structure system;- Various mooring, fender, pulley, winch, constraints
configuration;- Equilibrium estimation underwave, wind and current
combination;- Database approach for static catenary mooring line;- Finite element approach for dynamic cable (drag force);- Iteration approach for determining equilibrium position;- Calculate the eigenvalues of linearised stiffness matrix
to obtain static stability;- Eigenvalues of the impedance matrix to give dynamic
stability.- Series of wave spectrums and mooring configurations
Theory in AQWA LIBRIUM
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Equation for determining static equilibrium position:
K is the stiffness matrix of the system,F is the force matrix.
The program iterates until X=|Xj+1-Xj| is less than a defined tolerance
Static stability
Eigenvalue (0, stable)
Dynamic stability
Eigenvalue (f0 and g=0, unstable; f>0 and g0, fishtailing)
),,0from(
,0
igfeXXXX
X
X
X
X
t +===++
=
+
KCM
0I
KMCM 11
0= XX K
)()(11 jjjj XFXXX + += K
Analysis Procedure
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y
Input in RESTART cardstarting from Column 21
A common method of analysis
(1) run Stages 1 to 3 in AQWA-LINE
(2) run Stages 4 to 5 in another program, say, AQWA-LIBRIUM.
Example:
Step 1: AQWA-LINE run Step 2:AQWA-LIBRIUM run
(Restart 1 to 3) (Restart 4 to 5)
Input Files Output Files Input Files Output Files
altest.dat altest.lis abtest.dat abtest.lis
altest.res altest.res abtest.resaltest.hyd abtest.eqpaltest.plt
Analysis Procedure (cont)
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Stage 4 in AQWA-LIBRIUM
model definition restart file
hydrodynamic database restart file
main analysis parameters input data file
Note: Decks 1 to 8 data is read from the restart file
Decks 9 to 20 are required in the input data file
(Decks 1 to 8 must be omitted if restart from Stage 4).
Stage 5 in AQWA-LIBRIUM (Main analysis, no extra input)
AQWA-LIBRIUM (Example 1)
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JOB card
Read database
Deck 9: drift motion parameters;Deck 10: wind and current drag; Deck 12: constraints;Deck 11: environment; Deck 13: spectrum
Deck 14: Mooring systemNB new nodes needed
Deck 15: Initial position of COG in global frame
J OB TEST LI BRTI TLE FALTI NSEN BOX - MODEL 1
OPTI ONS REST ENDRESTART 4 5 ALBOXM09 NONE10 NONE11 NONE12 NONE13 SPEC13SPDN 315. 0
END13PSMZ 0. 300 2. 000 4. 000 8. 00014 MOOR14LI NE 1 501 0 511 1. 4715E6 100. 014LI NE 1 502 0 512 1. 4715E6 100. 014LI NE 1 503 0 513 1. 4715E6 100. 0
END14LI NE 1 504 0 514 1. 4715E6 100. 015 STRT
END15POS1 1 1 0. 0 0. 0 1. 5 0. 0 0. 016 NONE17 NONE18 NONE19 NONE20 NONE
Drag in AQWA (deck 10)
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(1) Current and Wind Force Coefficients
DIRN Dir1 DirN 1 . N (optional)SYMX (optional)
CUFX Dir1 DirN C1 . CN
WIFX Dir1 DirN C1 . CN
etc
Dir: direction number directions default to LINE wave directions;
C1: Drag Force Coefficients
For relative current velocity V in directionforce in X direction = CUFX.V
2
force in Y direction = CUFY.V2
yaw moment = CURZ.V2
Direction sequence no.IfDIRN is not present in Deck 10,the directions are those defined
on the DIRN cards in Deck 6
Drag in AQWA (deck 10)(cont 1)
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(cont 1)
(2) Morison Drag Coefficients (for ship hul l)
MDIN Nrow Ncol C1 . C6
Nrow: Row number in drag matrix
Ncol: Column number in drag matrix
C1 C6: Drag Force Coefficients
=
.
.
.
.
.
.
.
666564636261
565554535251
464544434241
363534333231
262524232221
161514131211
zz
yy
xx
CCCCCC
CCCCCC
CCCCCC
CCCCCC
CCCCCC
CCCCCC
DragForce
Useful options in AQWA LIBRIUM
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STAT STATic stability only
DYNA DYNAmic stability only
PBIS Print Both Iteration Steps (prints full results at each step)
PRAF Print all freedoms (in spite of DACF cards on DECK12)
In JOB card Deck 0
In OPTIONS card Deck 0
AQWA-LIBRIUM Example 2 (ABTANK4)
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JOB TANK LIBR
TITLE SINGLE TANKER WITH MOORING
OPTIONS REST PBIS END
RESTART 4 5 ALTANK4
09 NONE
10 HLD1
10SYMX
10DIRN 1 5 0.0 20.00 40.00 60.0 80.00
10DIRN 6 10 100.00 120.00 140.00 160.0 180.00
10WIFX 1 5 1.460E3 1.692E3 1.685E3 1.175E3 3.745E2
10WIFX 6 10 -3.427E2 -9.839E2 -1.520E3 -1.692E3 -1.794E3
10CUFX 1 5 0.505E5 0.572E5 0.532E5 0.344E5 0.172E5
. . .
END10CURZ 6 10 0.808E7 0.220E8 0.191E8 0.103E8 0.00000
JOB card
Read database
Direction sequence no.If DIRN is not present in Deck 10, the directions
are those defined on the DIRN cards in Deck 6
AQWA-LIBRIUM Example 2 (ABTANK4)
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11 NONE12 NONE13 SPEC13SPDN 315.013CURR 1.00 315.013WIND 25.00 315.0
END13PSMZ 0.3000 2.0000 4.000 8.000
Deck 11:envirn.; Deck 12:constraints; Deck13: spectrum
AQWA-LIBRIUM Example 2 (ABTANK4)
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14 MOOR
14LINE 1 5001 0 6001 1.50E6 142.014LINE 1 5002 0 6002 1.50E6 142.014LINE 1 5003 0 6003 1.50E6 142.014LINE 1 5004 0 6004 1.50E6 142.0
END1415 STRT15POS1 100.00 0.000 0.000 0.000 0.000 0.000
END16 LMTS
END16MXNI 20017 NONE18 NONE19 NONE20 NONE
Deck 14: Mooring system
Deck 16: Iterative parameters
Deck 15: Initial position
AGS online calculation
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Mini-Librium
Note:
run AGS
(1) double-clickAGS icon on screen;(2) File Open to input al*.res file;(3) Plots to show the model;(4) Move Structure (in Model Visualization window) if needed;(5) MINI-LIBRIUM (in Model Visualization window);(6) Iterations (in MINI-LIBRIUM window to choose the iteration step number);(7) Equilibrate (till converged)
AGS online calculation
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Static stability
Note:run AGS
(1) Double-clickAGS icon on screen;(2) File Open to input al*.res file;(3) Plots to show the model;(4) Run ->AQWA-LIBRIUM(5) Display (inAQWA-LIBRIUM Run Monitorwindow) -> Static Stability Modes;(6) Click Mode# (in Static Stability Displacement Modes window to animate the mode).
Mooring Lines in AQWA (deck 14)
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Mooring lines can be defined in (BDNF)
Commonly used mooring types:
(1) LINE: Linear elastic line (weightless)
14LINE Ns1 Nd1 Ns2 Nd2 K L
(Ns1, Ns2: structure numbers; Nd1, Nd2: node numbers;K: stiffness; L: unstretched length)
(2) POLY: Polynomial elastic line (weightless)
14POLY K1 K2 K3 K4 K5
14NLIN Ns1 Nd1 Ns2 Nd2 (Ts) L (Fw) (Fp)
(K1, .., K5: stiffness;
Ts: winch tension; Fw: winch winding in friction factor;
Fp: winch paying out friction factor;Ts, Fw and Fp are only needed when the POLY line is used as a winch)
Mooring Lines in AQWA (deck 14)
(cont.1)
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(cont.1)
Start from anchor point
(3) COMP/ECAT: Composite elastic catenary (with weight)
14COMP Nz Nx Ne Zmi n Zmax Sl ope
14ECAT M1 A1 EA1 Tmax1 L1
14ECAT M2 A2 EA2 Tmax2 L2
14ECAT M3 A3 EA3 Tmax3 L3
14NLI N Ns1 Nd1 Ns2 Nd2
Nz, Nx -- number of database points within z and x ranges.
Ne -- number of ECAT in this COMP line.
Zmin, Zmax -- Z range (measured from the anchor) for the attachment node.
Slope -- sea bed slope (in degrees; positive for slope going up from anchor towardsattachment point).
M1,M2,M3 -- mass per unit length for ECAT 1,2,3.
A1,A2,A3 -- equivalent cross section area.EA1,EA2,EA3-- Youngs modulus x area.
Tmax1-3 -- maximum tension.
L1,L2,L3 -- length of ECAT 1,2,3.
Ns,Nd -- structure number and node number (Ns1: fairlead structure).
Moorings database
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ZRMAX
ZRMIN
XRMIN XRMAX
Max. tension point
Slack point
AQWA-LIBRIUM Example 3
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JOB card
Stages 1-5, if Deck 1-8 include
Nodes for anchor points
J OB MESH LI BRTI TLE MESH FROM LI NES PLANS/ SCALI NG
OPTI ONS REST PBI S LSTF ENDRESTART 1 5
01 COOR015001 1700. 0. -300
015002 200. -1500. -300
015003 200. 1500. -300
015004 -1500. 0. -300
01 1 45. 000 - 45. 000 0. 00001 2 22. 500 - 45. 000 0. 000
01 3 0. 000 - 45. 000 0. 000. . .01 501 45. 000 0. 000 0. 00001 511 146. 000 0. 000 0. 000. . .
END01 999 0. 000 0. 000 - 10. 62002 ELM102SYMX02SYMY02QPPL DI FF 0 ( 1) ( 1) ( 2) ( 12) ( 11)02QPPL DI FF 0 ( 1) ( 11) ( 12) ( 22) ( 21)02QPPL DI FF 0 ( 1) ( 21) ( 22) ( 32) ( 31)02QPPL 0 ( 1) ( 1) ( 5) ( 105) ( 101). . . .
END02PMAS 0 ( 1) ( 999) ( 1) ( 1)02 FI NI
AQWA-LIBRIUM Example 3 (cont.)
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03 MATEEND03 1 3. 32100E8 0. 000000 0. 000000
04 GEOMEND04PMAS 1 3. 6253E11 0. 000000 0. 000000 3. 4199E11 0. 000000 3. 5991E11
05 GLOB05DPTH 250. 005DENS 1025. 0
END05ACCG 9. 80606 FDR1
06FILE ALBOXM.HYD
06CSTR 1
END06CPDB07 WFS107ZCGE - 2. 0000
END07FI DD 1. 000E0908 NONE09 DRM109FI DD 1. 0373E5 1. 5702E6 1. 0E07 4. 0E09 2. 0E10 5. 000E09
END0910 HLD1
10WI FX 1 5 1. 460E3 1. 692E3 1. 685E3 1. 175E3 3. 745E210WI FX 6 9 - 3. 427E2 - 9. 839E2 - 1. 520E3 - 1. 692E310WI FY 1 5 0. 000E0 1. 803E3 3. 623E3 5. 168E3 6. 093E310WI FY 6 9 6. 293E3 5. 618E3 4. 103E3 0. 010WI RZ 1 5 2. 475E2 - 1. 407E5 - 1. 689E5 - 1. 068E5 - 1. 167E410WI RZ 6 9 1. 167E5 1. 842E5 1. 559E5 0. 0
Read database from AQWA-LINE
AQWA-LIBRIUM Example 3 (cont.)
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Composite catenary(start from anchor section)
Fairlead first, anchor point second
10CUFX 1 5 0. 505E5 0. 572E5 0. 532E5 0. 344E5 0. 172E510CUFX 6 9 - 0. 160E5 - 0. 295E5 - 0. 451E5 - 0. 466E5
10CUFY 1 5 0. 000E0 0. 207E6 0. 394E6 0. 486E6 0. 542E610CUFY 6 9 0. 550E6 0. 478E6 0. 382E6 0. 010CURZ 1 5 0. 000E0 - 0. 118E8 - 0. 213E8 - 0. 239E8 - 0. 118E8
END10CURZ 6 9 0. 808E7 0. 220E8 0. 191E8 0. 011 NONE12 NONE13 SPEC13SPDN 315. 013CURR 1. 00 315. 0
13WI ND 10. 00 315. 0END13PSMZ 0. 3000 2. 0000 4. 000 8. 00014 MOOR14COMP 20 30 3 280. 300.
14ECAT 150.00 0.00 6.0000E8 7.500E6 500.0
14ECAT 120.00 0.00 9.0000E8 7.500E6 500.0
14ECAT 170.00 0.00 6.0000E8 7.500E6 700.014NLI N 1 3201 0 500114NLI N 1 3201 0 5002
14NLI N 1 3201 0 5003END14NLI N 1 3201 0 5004
15 STRTEND15POS1 213. 000 - 213. 000 - 2. 00 0. 000 0. 000 144. 0
AQWA-LIBRIUM Example 3 (cont.)
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Iteration controls
16 LMTS
16MXNI 25016MMVE 1 1.5 1.5 1.5 1.5 1.5 1.5
END16MERR 1 0.5 0.5 0.5 0.5 0.5 0.5
17 NONE18 NONE19 NONE20 NONE
Mooring Lines in AQWA (deck 14)
(cont.2)
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( )
Similar to NLIN
Catenary hydrodynamic coefficient
AQWA Cable Dynamics (only applicable to COMP/ECAT): (abtank6)
14 MOOR14COMP 20 30 3 490. 510.14ECAT 150.00 0.010 6.0000E8 7.500E6 400.014ECAH 1.00 0.75 0.1014ECAT 120.00 0.010 9.0000E8 7.500E6 500.0
14ECAT 170.00 0.010 6.0000E8 7.500E6 700.014ECAH 1.00 1.00 0.1514NLID 1 5001 0 600114NLID 1 5002 0 600214NLID 1 5003 0 6003
END14NLID 1 5004 0 6004
Mooring Lines in AQWA (deck 14)
(cont.3)
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( )
Fenders
14POLY K1 K2 K3 K4 K514FEND Si ze Kf Kc14FLIN Type Ns1 Nd1 Nd2 Ns2 Nd3 Nd4
in which
K1 K5 -- non-linear stiffness coefficientsSize -- uncompressed size of fender (normal direction)
Kf -- tangential friction coefficientKc -- normal damping coefficient
Type -- 1 = fixed fender, 2 = floating fenderNs1 -- Structure to which fender is nominally attached
Nd1, Nd2 -- Nodes defining attachment point and contact plane on 1st
structureNs2 -- Structure which fender contactsNd3, Nd4 -- Nodes defining attachment point and contact plane on 2nd structure
Note: Be aware of valid range of force extension/compression relationship
55
44
33
221 )()()()( XKXKXKXKXKT ++++=
Mooring Lines in AQWA (deck 14)(cont.4)
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With weight
(COMP/ECAT,NLIN,NLID)
Without weight
(LINE,NLIN, FEND/FLIN)
Other cards in deck 14 (refer to AQWA Reference Manual for more details)
BUOY/CLMP A buoy or clump weight
TELM: Tether element. (for installed or towed stiff tethers)
WNCH: Constant tension winch line
FORC: A constant force in a constant direction.
LINE/PULY: Linear elastic pulley line.
LE2D: User defined tension/extension data base.
SWIR: Steel wire with non-linear stiffness.
DWT0/LNDW A line winding in or out on a winch
LBRK: Line breaking.
FILE: Read in mooring definition from an external file *.MOR.
AQWA Printing Options (deck 18)
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by default, part of results output to limit file size
additional data can be output by Deck 18 commands
ALLM: Output the velocity, acceleration and position of a user specified nodedefined in the NODE card.
NODE: Output the motion of a user specified node
or the relative motion between two user specified nodes.
PREV: Write into *.LIS file every N time steps to reduce the size
PRNT: Print a force not in the output by default (See AQWA-ref 4.18.6)
PTEN: Output mooring tension, anchor uplift, laid length etc for mooring line.
ZRON: Output the z position of a node relative to the incident wave surface.
PMST: Output mooring sectional tensions for cable dynamic case
AQWA FER - introduction
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Principally for calculating the significant response
of amplitues in irregular waves.
Frequency domain program
Linearised stiffness matrix / damping to obtain the transfer function
and response spectrum
Simple, inexpensive approach to make systematic parameter study
Series ofwave spectrums and mooring configurations
Theory in AQWA FER
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Response spectrum in irregular waves
Sxixi(): response spectrum in i-th degree of freedom,Hij () : receptance matrix defined as:
Fj(): frequency dependent force(in j-th degree of freedom) on the structure
S(): the wave spectrum
)())]()(([mod)( 2 SFHS jijj
ixix =
12 ])())(([)( ++= KCiMMH asij
Linearisation in FER
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Stiffness: stiffness (hydrostatic, mooring etc.) at the initial position,(= the static equilibrium position with RDEP option)
Damping:cable drag is linearised using the r.m.s. velocity, when NLID used
FD = (CD. |Vrms|) .V
wind drag is linearised,1st order hydrodynamic dampingany other input damping (fender, constraints)
Forces:
1st and 2nd order wave forces
Useful options in AQWA FER
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JOB options (JOB card)DRFT DRiFT frequency onlyWFRQ Wave FReQuency only
ANALYSIS options (OPTIONS card)
RDEP ReaD Equilibrium PositionFQTF Full diff freq. QTF to be used
Printing options (OPTIONS card)PRRI Printing RAOS at spectrum integration pointsGLAM Output significant motions in GLOBAL axis
AQWA-FER Example 1
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For AQWA-FER run
Read equilibrium position
from ABTANK6 database
J OB TANK FER
TI TLE SI NGLE TANKER WI TH CABLE DYNAMI COPTI ONS REST RDEP ENDRESTART 4 5 ABTANK6
09 DRM1*2345678901234567890123456789012345678901234567890123456789012345678901234567890
09FI DA 1. 0373E6 1. 5702E7 1. 0E12 1. 0E15 1. 0E15 2. 2564E1109FI DD 1. 80E5 1. 80E6 1. 0E10 1. 0E13 1. 0E13 1. 00E10
END0910 HLD1
10WI FX 1 5 1. 460E3 1. 692E3 1. 685E3 1. 175E3 3. 745E2. . .
10CURZ 1 5 0. 000E0 - 0. 118E8 - 0. 213E8 - 0. 239E8 - 0. 118E8END10CURZ 6 10 0. 808E7 0. 220E8 0. 191E8 0. 103E8 0. 00000
11 NONE12 NONE13 SPEC13SPDN 315. 013CURR 1. 00 315. 013WI ND 25. 00 315. 0
END13PSMZ 0. 3000 2. 0000 4. 000 8. 000
Optional freq. independent
added mass/damping
AQWA-FER Example (cont.)
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Not needed due to RDEP
14 MOOR14COMP 20 30 3 490. 510.
14ECAT 150. 00 0. 010 6. 0000E8 7. 500E6 400. 014ECAH 1. 00 1. 33 0. 1014ECAT 120. 00 0. 010 9. 0000E8 7. 500E6 500. 014ECAT 170. 00 0. 010 6. 0000E8 7. 500E6 700. 014NLI D 1 5001 0 600114NLI D 1 5002 0 600214NLI D 1 5003 0 6003
END14NLI D 1 5004 0 600415 NONE
* 15 STRT* 15POS1 100. 00 0. 000 0. 000 0. 000 0. 000 0. 000*END
16 NONE17 NONE18 NONE19 NONE20 NONE
AQWA NAUT & DRIFT - introduction
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AQWA-NAUT and DRIFT are time-domain simulationprograms
For a series of time-steps they:
calculate the total force on the structurecalculate the accelerationfind the new position of the structurerepeat
A two stage predictor/correctorintegration scheme is used
Theory in AQWA NAUT and DRIFT
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Equation of motion in time domain
F(t): the total force on the structure, including incident wave force diffraction force
mooring force drift force drag force constraint force, etc radiation force
Convolution integration form:
)()(..
tFtXMs =
)()()()()()]([ 10
tFdXttXtXt
as = +++ hKMM
Simulation of Irregular Waves
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Wave spectrum treatment:
split into N sections of equal area define N wavelets with frequency at the centroid of the section
(max.200). the wavelets are added together with random phase angles
.
Wavelet: equal areas
S()
iii
N
iiiiii Satykxkatyx = ++=
=)(2),sincoscos(),,(
1
Comparison of DRIFT v. NAUT
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AQWA-DRIFT AQWA-NAUT
Irregular waves only Regular or Irregularwaves
Linearhydrostatic stiffness Non-linearhydrostatics /
Froude-Krylov force
2nd orderdrift coefficients 2nd orderincident wave
Omits drift forces(but some 2nd order effects)
Mean wetted surface Instantaneous wetted surface
AQWA-DRIFT Example 1
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Job card for DRIFT run
Drift & wave freq. motions
Print at both integration
stages.
Convolution method
for radiation force
J OB TANK DRI F WFRQTI TLE SI NGLE TANKER WI TH CABLE DYNAMI C
OPTI ONS REST PBI S CONV RDEP ENDRESTART 4 5 ABTANK6
09 DRM1*2345678901234567890123456789012345678901234567890123456789012345678901234567890
09FI DA 1. 0373E6 1. 5702E7 1. 0E12 1. 0E15 1. 0E15 2. 2564E1109FI DD 1. 80E5 1. 80E6 1. 0E10 1. 0E13 1. 0E13 1. 00E10
END0910 HLD110WI FX 1 5 1. 460E3 1. 692E3 1. 685E3 1. 175E3 3. 745E2
. . .
END10CURZ 6 10 0. 808E7 0. 220E8 0. 191E8 0. 103E8 0. 0000011 NONE12 NONE13 SPEC13SPDN 315. 013CURR 1. 00 315. 0
13WI ND 25. 00 315. 0END13PSMZ 0. 3000 2. 0000 4. 000 8. 000
AQWA-DRIFT Example (cont.)
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Define no. and value of time steps
Define printing options
14 MOOR
14COMP 20 30 3 490. 510.14ECAT 150. 00 0. 010 6. 0000E8 7. 500E6 400. 014ECAH 1. 00 1. 33 0. 1014ECAT 120. 00 0. 010 9. 0000E8 7. 500E6 500. 014ECAT 170. 00 0. 010 6. 0000E8 7. 500E6 700. 014NLI D 1 5001 0 600114NLI D 1 5002 0 600214NLI D 1 5003 0 6003
END14NLI D 1 5004 0 6004
15 NONE16 TI NT
END16TI ME 2000 0. 517 NONE18 PROP
END18PREV 519 NONE20 NONE
Useful options in AQWA DRIFT
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WFRQ Include Wave FReQency (default is Drift frequency only)
CONV Use CONVolution
PBIS Print Both Integration Steps
RDEP ReaD Equilibrium Position
FQTF Use diff freq. full QTF matrix (CQTF should be in LINE)
AQWA-NAUT Example 1
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Job card for NAUT run
Default regular waveanalysis
J OB MESH NAUTTI TLE MESH FROM LI NES PLANS/ SCALI NGOPTI ONS REST PBI S END
RESTART 1 501 COOR015001 1700. 0. - 30001 101 0. 001 0. 000 0. 000. . . .
END01 999 88. 025 0. 000 10. 00002 ELM102SYMX02QPPL DI FF 1 ( 1) ( 202) ( 201) ( 101) ( 102). . . .
END02PMAS 0 ( 1) ( 999) ( 1) ( 1)02 FI NI03 MATE
END03 1 84062048.04 GEOM
END04PMAS 1 1. 6812E10 0. 000000 0. 000000 3. 7659E11 0. 000000 3. 7659E1105 GLOB
05DPTH 1000. 005DENS 1024. 4END05ACCG 9. 807
AQWA-NAUT Example 1 (cont.)
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Copy AQWA-LINE database
Regular wave parameters
06 FDR1
06FI LE AL**** **. HYD06CSTR 1
END06CPDB
07 WFS107ZCGE - 2. 0000
END07FI DD 9. 986E0808 NONE09 DRM109FI DD 1. 0373E5 1. 5702E6 1. 0E07 4. 0E09 2. 0E10 5. 000E09
END0910 HLD110WI FX 1 5 1. 460E3 1. 692E3 1. 685E3 1. 175E3 3. 745E2. . . .
END10CURZ 6 9 0. 808E7 0. 220E8 0. 191E8 0. 011 NONE12 NONE13 WAVE13WAMP 12. 0
13WVDN 135. 0END13PERD 12. 00
AQWA-NAUT Example 1 (cont.)
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14 MOOR14COMP 20 30 3 280. 300.14ECAT 150. 00 0. 00 6. 0000E8 7. 500E6 500. 0
14ECAT 120. 00 0. 00 9. 0000E8 7. 500E6 500. 014ECAT 170. 00 0. 00 6. 0000E8 7. 500E6 700. 014NLI N 1 3201 0 500114NLI N 1 3201 0 500214NLI N 1 3201 0 5003
END14NLI N 1 3201 0 500415 STRT
END15POS1 213. 000 - 213. 000 - 2. 00 0. 000 0. 000 144. 016 TI NT
END16TI ME 2000 1. 017 NONE18 NONE19 NONE20 NONE
AQWA-NAUT Example 2
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J OB TANK NAUT I RRETI TLE SI NGLE TANKER WI TH CABLE DYNAMI COPTI ONS REST PBI S CONV RDEP ENDRESTART 4 5 ABTANK6
09 DRM1. . .
13 SPEC13SPDN 315. 0
13CURR 1. 00 315. 013WI ND 25. 00 315. 0
END13PSMZ 0. 3000 2. 0000 4. 000 8. 000. . .
16 TI NTEND16TI ME 2000 0. 5
17 NONE18 PROP
END18PREV 519 NONE20 NONE
Job card for NAUT run
Irregular wave analysis
CONV mandatory
Useful options in AQWA NAUT
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IRRE IRREgular wave analysis (CONV mandatory)
CONV Use CONVolution
LSTF Linear STiFness. Uses hydrostatic stiffnessfrom LINE without modification.
RDEP ReaD Equilibrium Position
Multiple structures (1)
without hydrodynamic interaction
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Wave,wind,
current
directions
Multiple Structures (1)without hydrodynamic interaction
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Node definition:
One set of nodes can be used.ELM1 and ELM2 use different node numbersto define the elements.
This can be inconvenient.E.g. if two models are created from .lin files in theAGS,both will have node number starting at 101.
STRC card in Deck 1
allows the same node numbers to be used for different models.
AQWA-LINE (AL2TANK1)
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Node definition for structure 1
JOB MESH LINE
TITLE TWO TANKER WITHOUT HYDRODYNAMIC INTERACTIONOPTIONS REST LDOP NQTF GOON END
RESTART 1 3
01 COOR
01STRC 1
01 1 0.000 0.000 5.000
. . . . .
01 999 110.552 0.000 15.000
* ATTACHMENT POINTS ON STRUCURE 1 FOR MOORING LINE BETWEEN ST#1-2015501 0.000 0.000 15.000
015502 230.000 0.000 27.000
01STRC 2
01 1 0.000 0.000 5.000
. . . .
. . . .
01 999 110.552 0.000 15.000
* ATTACHMENT POINT ON STRUCURE 2 FOR MOORING LINE BETWEEN ST#1-2
015501 0.000 0.000 15.000
015502 230.000 0.000 27.000
END01
Node definition for structure 2
AQWA-LINE (cont.)
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Element definit ion of ST#1
Material no. of ST#1
Geometry no. of ST#1
Material and geometry
definition of ST#1
02 ELM1
02SYMX
02QPPL DIFF 1 (1)( 101)( 1)( 6)( 102). . . . .
END02PMAS 0 (1)( 999)( 1)( 1)
02 ELM2
02SYMX
02QPPL DIFF 1 (1)( 101)( 1)( 6)( 102)
. . . . . .
END02PMAS 0 (1)( 999)( 2)( 2)
02 FINI
03 MATE
03 1 1.23009E8 0.000000 0.000000
END03 2 1.23009E8 0.000000 0.000000
04 GEOM
04PMAS 1 957.0E7 0.0 0.0 19050.0E7 0.0 19050.0E7
END04PMAS 2 957.0E7 0.0 0.0 19050.0E7 0.0 19050.0E7
AQWA-LINE (cont.)
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05 GLOB
05DPTH 500.005DENS 1024.4
END05ACCG 9.807
06 FDR1
06FILE ALTANK4.HYD
06CSTR 1
END06CPDB
06 FDR2
06FILE ALTANK4.HYD
06CSTR 1
END06CPDB
07 WFS1
07ZCGE 0.0000
END07FIDD 1.000E9
07 WFS2
07ZCGE 0.0000
END07FIDD 1.000E9
08 NONE
AQWA-LIBRIUM : Multiple structures(AB2TANK1)
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JOB TANK LIBR
TITLE TWO-TANKER WITHOUT HYDRO. INTER.
OPTIONS REST PBIS ENDRESTART 4 5 AL2TANK1
09 DRM1
09FIDA 1.0373E6 1.5702E7 1.0E12 1.0E15 1.0E15 2.2564E11
09FIDD 1.80E5 1.80E6 1.0E10 1.0E13 1.0E13 1.00E10
END09
09 FINI
10 HLD1
10WIFX 1 5 1.460E3 1.692E3 1.685E3 1.175E3 3.745E2
. . . . .
END10CURZ 6 10 0.808E7 0.220E8 0.191E8 0.103E8 0.00000
10 HLD2
10WIFX 1 5 1.460E3 1.692E3 1.685E3 1.175E3 3.745E2
. . . . .
END10CURZ 6 10 0.808E7 0.220E8 0.191E8 0.103E8 0.00000
FINI if no data for STR 2
AQWA-LIBRIUM (cont.)
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Mooring line between str#1-2
Initial position of COGs
Iterative control
. . . .14 MOOR
14COMP 20 30 3 490. 510.
14ECAT 150.00 0.010 6.0000E8 7.500E6 400.014ECAH 1.00 1.33 0.10
14ECAT 120.00 0.010 9.0000E8 7.500E6 500.0
14ECAT 170.00 0.010 6.0000E8 7.500E6 700.0
14NLIN 1 5001 0 6001
14NLIN 1 5002 0 6002
14NLIN 1 5003 0 6003
14NLIN 1 5004 0 6004
14LINE 1 5501 2 5501 1.50E7 100.0
END14LINE 1 5502 2 5502 1.50E7 100.015 STRT
15POS1 100.00 0.000 0.000 0.000 0.000 0.000
15POS2 -215.00 -000.00 0.000 0.000 0.000 0.00
END
16 LMTS
16MERR 0.05 0.05 0.05 0.1 0.1 0.2
16MMVE 2.00 2.00 0.5 1.0 1.0 2.0
END16MXNI 1200
17 NONE18 NONE
19 NONE
20 NONE
Use of FINI card
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Lots of occasions to use FINI card
Deck 2 (compulsory)
Multiple structures, not all of them defined in deck 6,7,8,9,10
End of deck
Multiple configurations of mooring lines (B/F),
insert FINI to separate two definitions of mooring systems
Multiple user defined wave spectrums (B/F),
insert FINI to separate each set of UDEF cards
Between two sections
AQWA-NAUT: Multiple structures(AN2TANK1)
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Read equilibrium position
JOB TANK NAUT IRRE
TITLE TWO-TANKER WITHOUT HYDRO. INTER.OPTIONS REST CONV RDEP END
RESTART 4 5 AB2TANK1
09 DRM1
09FIDA 1.0373E6 1.5702E7 1.0E12 1.0E15 1.0E15 2.2564E11
09FIDD 1.80E5 1.80E6 1.0E10 1.0E13 1.0E13 1.00E10
END09
09 DRM2
09FIDA 1.0373E6 1.5702E7 1.0E12 1.0E15 1.0E15 2.2564E11
09FIDD 1.80E5 1.80E6 1.0E10 1.0E13 1.0E13 1.00E10END09
10 HLD1
10WIFX 1 5 1.460E3 1.692E3 1.685E3 1.175E3 3.745E2
. . . .
END10CURZ 6 10 0.808E7 0.220E8 0.191E8 0.103E8 0.00000
10 HLD2
10WIFX 1 5 1.460E3 1.692E3 1.685E3 1.175E3 3.745E2
. . . .
END10CURZ 6 10 0.808E7 0.220E8 0.191E8 0.103E8 0.00000
AQWA-NAUT (cont.)
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Due to RDEP
Time step control
. . . .
13 SPEC13SPDN 315.0
13CURR 1.00 315.0
13WIND 25.00 315.0
END13PSMZ 0.3000 2.0000 4.000 8.000
14 MOOR
. . . . .
END14LINE 1 5501 2 5501 1.50E7 100.0
* 15 STRT
* 15POS1 100.00 0.000 0.000 0.000 0.000 0.000
* END15POS2 -215.00 -000.00 0.000 0.000 0.000 0.00
15 NONE
16 TINT
END16TIME 2000 0.5
. . . . .
20 NONE
Multiple structures (2)
with hydrodynamic interaction
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calculate hydrodynamic coefficients which take
full account of hydrodynamic interaction.
up to 20 interacting structures can be included.
AQWA-LINE (AL2TANK2)
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JOB MESH LINE
TITLE TWO TANKER WITH HYDRODYNAMIC INTERACTIONOPTIONS REST LDOP NQTF GOON END
RESTART 1 3
01 COOR
01STRC 1
*234567890123456789012345678901234567890123456789012345678901234567890
01 1 0.000 0.000 5.000
. . . . .
01 999 110.552 0.000 15.000* ATTACHMENT POINT ON STRUCURE 1 FOR MOORING LINE BETWEEN ST#1-2
015501 0.000 0.000 15.000
015502 230.000 0.000 27.000
01STRC 2
01 1 0.000 0.000 5.000
. . . .
01 999 110.552 0.000 15.000
* ATTACHMENT POINT ON STRUCURE 1 FOR MOORING LINE BETWEEN ST#1-2015501 0.000 0.000 15.000
015502 230.000 0.000 27.000
END01
Deck 0-1 similar to AL2TANK1.DAT
AQWA-LINE (cont.)
02 ELM1
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Remove geometric symmetry
Elements for attachment points.Needed when MSTR card used.
Move structure
Hydrodynamic interaction
Fictitious material and geometricproperties for attachment points
02 ELM1
02SYMX02QPPL DI FF 1 ( 1) ( 101) ( 1) ( 6) ( 102)
. . . . .02TPPL 45 ( 1) ( 4606) ( 4506) ( 4507)02RMXS02PMAS 0 ( 1) ( 999) ( 2) ( 2)02PMAS 0 ( 1) ( 5001) ( 3) ( 3)02PMAS 0 ( 1) ( 5002) ( 3) ( 3)02PMAS 0 ( 1) ( 5003) ( 3) ( 3)02PMAS 0 ( 1) ( 5004) ( 3) ( 3)02PMAS 0 ( 1) ( 5501) ( 3) ( 3)
02PMAS 0 ( 1) ( 5502) ( 3) ( 3)END02MSTR (999) (212.3182, -221.0850,5.5864)02 ELM202HYDI 1
. . . . . . . .
END02MSTR (999) (247.5926,-314.7867, 5.6123)
02 FI NI03 MATE03 1 1. 23009E8 0. 000000 0. 000000
03 2 1. 23009E8 0. 000000 0. 000000END03 3 1.00000E0 0.000000 0.000000
04 GEOM04PMAS 1 957. 0E7 0. 0 0. 0 19050. 0E7 0. 0 19050. 0E704PMAS 2 957. 0E7 0. 0 0. 0 19050. 0E7 0. 0 19050. 0E7
END04PMAS 3 1.0E0 0.0 0.0 0.0 0.0 0.0
AQWA-LINE (cont.)
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No symmetry,-180 to +180
Note: wave frequencies anddirections MUST be samefor hydro. interactingstructures
. . . .
06 FDR1
06FREQ 1 6 0. 10000 0. 20000 0. 30000 0. 40000 0. 50000 0. 6000006FREQ 7 11 0. 70000 0. 80000 0. 90000 1. 00000 1. 1000006DI RN 1 5 - 180. 00 - 160. 00 - 140. 00 - 120. 0 - 100. 0006DI RN 6 10 - 80. 00 - 60. 00 - 40. 00 - 20. 0 0. 0006DI RN 11 15 20. 00 40. 00 60. 00 80. 0 100. 00
END06DI RN 16 19 120. 00 140. 00 160. 00 180. 006 FDR206FREQ 1 6 0. 10000 0. 20000 0. 30000 0. 40000 0. 50000 0. 6000006FREQ 7 11 0. 70000 0. 80000 0. 90000 1. 00000 1. 10000
06DI RN 1 5 - 180. 00 - 160. 00 - 140. 00 - 120. 0 - 100. 0006DI RN 6 10 - 80. 00 - 60. 00 - 40. 00 - 20. 0 0. 0006DI RN 11 15 20. 00 40. 00 60. 00 80. 0 100. 00
END06DI RN 16 19 120. 00 140. 00 160. 00 180. 007 WFS107ZCGE 0. 0000
END07FI DD 1. 000E907 WFS207ZCGE 0. 0000
END07FI DD 1. 000E908 NONE
Multiple structures (2)
with hydrodynamic interaction
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The PFIX method (Deck 2)
Combine a floating and a fixed model into ONE structure
Put fixed part into a specified group
Use the PFIX card in Deck 2 to ground the fixed model
Symmetry
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SYMX means that AQWA can assume that the analysis issymmetric ABOUT THE FRA X-AXIS. This allows time-saving shortcuts to be used in the solution.
RMXS removes symmetry, creating a full model (even though themodel may still be a symmetric structure). It only applies to
T/QPPL elements, not to other elements or nodes.
MSTR moves the structure to a new definition position.
It only applies to elements and associated nodes, not to allnodes listed under the STRC card.
It actually moves the nodes and elements in the FRA.It is not the same as the POS card in Deck 15.
SYMY and RMYS have the same effect relative to the Y-axis
LIDS
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ILID to remove irregular frequencies inside structures
can be automatically generated VLID to reduce standing waves between structures
has to be defined by user
LIDS (cont)
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ILID elements can be generated
automaticallyVLID elements must be defined in .dat
file
02 ELM1
02I LI D AUTO ( LI D_SI ZE=2. 0, START_NODE=5000)
02VLI D 777 ( DAMP=0. 01, GAP=8. 0)02SYMX02QPPL DI FF 1 ( 1) ( 101) ( 1) ( 6) ( 102). . . . .02PMAS 0 ( 1) ( 999) ( 2) ( 2)02MSTR ( 999) ( 212. 3182, - 221. 0850, 5. 5864)02QPPL DI FF 777 ( 1) ( 4606) ( 4506) ( 4507) ( 4508)02QPPL DI FF 777 ( 1) ( 4607) ( 4508) ( 4509) ( 4510). . . . .
END02 ELM202HYDI 1
. . . . . . . .
END02MSTR (999) (247.5926,-314.7867, 5.6123)
02 FI NI
Constraints in AQWA (deck 12)
1) O i i f M ti i U S ifi d D f F d (D O F)
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1) Omission of Motion in User Specified Degrees of Freedom (D.O.F)
DACF Ns Ndof
(Ns: structure number; Ndof : D.O.F. number), (PRAF may need)
2) Mechanical Articulations between Structures
Relative translational motion is not allowed, but relative rotationalmotion is possible.
DCON Nt Ns1 Nd1 (Nd3) Ns2 Nd2 (Nd4)
Nt: number of D.O.F. being locked by this constraint.
Nt=0: Ball and Socket, rotation in 3 D.O.F.
Nt=1: Universal joint, rotation in 2 D.O.F.
Nt=2: Hinge, rotation in 1 D.O.F.
Nt=3: Rigid connection, no rotation.
Ns1
Nd3Nd1, Nd2
Nd4
Ns2
Constraints in AQWA (example)
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Stinger model
1
constraints
Constraints in AQWA(example)
JOB MESH LIBR
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JOB MESH LIBR
TITLE NORWAY SHIP + FLEXIBLE STINGER
OPTIONS REST GOON NPPP END
RESTART 1 5
01 COOR
STRC 1
1 115.000 0.000 0.000
....
* Nodes for third part of stringer
STRC 3
016001 0.000 -2.000 0.000
....
END016025 12.000 0.000 4.000
02 ELM1
02SYMX
02QPPL DIFF (43)( 1,7)( 2,7)( 9,7)( 8,7)
....
END02TUBE (1)( 6020)( 6017)(2)(2)
....
02 ELM3
02TUBE (1)( 6001)( 6002)(2)(2)
....
END02TUBE (1)( 6020)( 6017)(2)(2)
02 FINI
Constraints in AQWA(cont.)
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Constraint type:2 - hinged
Define a constraint
from St#1 to St#2
03 MATE
03 1 1.242E8
END03 2 7850.004 GEOM
04PMAS 1 957.0E7 0.0 0.0 19050.0E7 0.0 19050.0E7
04TUBE 2 0.500 0.050
END04TUBE 3 1.000 0.050
....
12 CONS
12DCON 2 1 6023 6020 2 6021 6004
END12DCON 2 2 6023 6020 3 6021 600413 NONE
14 MOOR
14LINE 1 5201 2 6025 5.0E05 25.0
END14LINE 2 6024 3 6022 5.0E05 0.0
....
20NONE
Definition of Tethers
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Tethers in a TLP Model
Two types: Towed and Installed;
Bending & lateral motion only;
Material defined in Deck 3 as flexible tube with Youngs modulus;
Small inline deformation defined by TSPV/TSPA cards.
Definition of Tethers (cont.)
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JOB TETH NAUT
TITLE TETHERS
OPTIONS REST END
RESTART 4 5
09 NONE
. . . . . .
13 WAVE
13PERD 9.0
13WVDN 0.0
END13WAMP 8.0
14 MOOR
14TELM 300 301 2 2
14TELM 301 302 2 2
14TELM 302 303 2 2
14TSPV 0.0 5730.0 5730.0
14TSPA 0.0 5730.0 5730.0
14TETH 1 1 0 401
END14TETH 1 2 0 402
15 STRT
. . . . . .
Define tether elements;
Start from tail/anchor;
Min.2; max. 14/24
Material no.; see I.8.1.3
Geometry no.
Define tether lines
Sea bed, Node#401
Node#300
Vessel, Node#1
Node#303
Definition of Tethers (cont.)
hi h
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I n whi ch:
TELM 300 301 2 2 -
def i nes a t et her el ement whi ch consi st sof t