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