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)
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OUTLINE
IntroductionSoliton on finite BackgroundResults of ExperimentsAnalysis with 2-D non-linear potential code and sNLSConclusions
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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
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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
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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
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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
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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
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Overview of Experimental Test Set-Up
10m
40m
100m
150m
200m
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10m
40m
C2M2
100m
Prediction of focus point: 150m from the wave maker
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10m
150m
C2M2
160m
Prediction of focus point: 150m from the wave maker
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160m
150m
In between 2 peaks: 11 waves
C2M2
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150m
160m160m
150m
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ANALYSIS With HUBRIS/sNLS
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ANALYSIS With HUBRIS
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ANALYSIS With HUBRIS/sNLS
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ANALYSIS With HUBRIS
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ANALYSIS With HUBRIS/sNLS
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ANALYSIS With HUBRIS
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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