experiments on extreme wave generation based on soliton on finite background
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EXPERIMENTS ON
EXTREME WAVE GENERATION
BASED ON SOLITON ON FINITE BACKGROUND
René Huijsmans(MARIN)Gert Klopman (AFR)
Natanael Karjanto,Brenny van Groesen (U Twente) Aan Andonowatti (ITB)
OUTLINE
IntroductionSoliton on finite BackgroundResults of ExperimentsAnalysis with 2-D non-linear potential code and sNLSConclusions
Spatial NLS equation
Free-surface elevation
..),(),( ),(1
0 ccetxAtx txi ),(22
222
2020),(),(),( txietxABtxABtx
),(),(),(),( 321 txtxtxtx
with: hkkgkktxktx 00000000 tanh)(),(,),(
Spatial NLS equation:
01 22
0
AAiAiAC
A ttg
x
Where and are the carrier wave number and frequency0 0k
Spatial NLS coefficients:
)(' 00 kCg
30
0 )(''
gC
k
0
04
24
0
020
4
9109
g
U
g C
k
C
k
with hk0tanh
and
0
2202
1 1
kg
and are the bound long-wave amplitude coefficientsU
SOLITON ON FINITE BACKGROUND (SBF)as a solution of (spatial) NLS 0|| 2 AAiAiA
Physics of SFBvan Groesen, A, N. Karyanto
gVxt /x
Amplitude amplification
1
3
Phase singularity
ietxA ),(res31
),( tx
t
modT /2 M
)ˆ(
)ˆ(/;ˆ2
/
10
0
mod
Ma
aT
modTM Parameters of SBF
+ cc
typical wave tank, 250m long
0 L
),()( max tLPts LARGE AMPLITUDE
A snapshot of wave elevation under Maximum Temporal Amplitude (MTA) curve
Location of wave maker
MTA
),(max txt
sTmono 5167.1 mmono 59.3
EXPERIMENTS A: DEPTH H0 = 3.55m, various
EXPERIMENTS B: DEPTH H0 = 3.55m, various
sTmono 3482.1 mmono 84.2
EXPERIMENTAL CASES
C2M0C2M2
EXPERIMENTS C: DEPTH H0=3.55m, various Main Characteristics
CASES TO BE PRESENTEDsTmono 6852.1 mmono 7284.4
&M
1ˆ2130.0 M 1ˆ2485.0 M
Overview of Experimental Test Set-Up
10m
40m
100m
150m
200m
10m
40m
C2M2
100m
Prediction of focus point: 150m from the wave maker
10m
150m
C2M2
160m
Prediction of focus point: 150m from the wave maker
160m
150m
In between 2 peaks: 11 waves
C2M2
150m
160m160m
150m
ANALYSIS With HUBRIS/sNLS
ANALYSIS With HUBRIS
ANALYSIS With HUBRIS/sNLS
ANALYSIS With HUBRIS
ANALYSIS With HUBRIS/sNLS
ANALYSIS With HUBRIS
Conclusions
MTA approach good basis for predicting Focus point
Phase singularity clearly present at one side of the wave group
Non-linear potential flow code and sNLSpartly predicts the evolution of the SFB soliton
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