This paper addresses the existence of rare wave groups by examining time series data from the Pt. Reyes buoy. The buoy is operated by the Coastal Data Information Program (CDIP), University of California San Diego. The definition of rare wave groups, as defined by Kim and Troesch, used in this paper differs from the more commonly used wave group definition based on threshold crossings. With the time series data from the Pt. Reyes buoy, these rare wave groups are shown to be a naturally occurring phenomenon. The essential features of the data are examined, as well as the analysis methods and findings. By sifting through 17 years of wave elevation data from the Pt. Reyes buoy, this preliminary work addresses not only the question to what extent rare wave groups exist in nature but also what their probability of occurrence is.

References

1.
Kim
,
D.
, and
Troesch
,
A.
,
2013
, “
Statistical Estimation of Extreme Roll Response in Short Crested Irregular Seas
,” Transactions of SNAME 2013, pp.
123
160
.
2.
Longuet-Higgins
,
M.
,
1957
, “
The Statistical Analysis of a Random, Moving Surface
,”
Philos. Trans. R. Soc. London
,
249
(
966
), pp.
321
387
.
3.
Goda
,
Y.
,
1976
, “
On Wave Groups
,”
Offshore Structures (BOSS)
, Vol.
1
, pp.
115
127
.
4.
Kimura
,
A.
,
1980
, “
Statistical Properties of Random Wave Groups
,”
17th Conference on Coastal Engineering
, pp.
2955
2973
.
5.
Liu
,
Z.
,
Elgar
,
S.
, and
Guza
,
R.
,
1993
, “
Groups of Ocean Waves: Linear Theory, Approximations to Linear Theory, and Observations
,”
Coastal Eng.
,
1992
(
2
), pp.
114
159
.
6.
Masson
,
D.
, and
Chandler
,
P.
,
1993
, “
Wave Groups: A Closer Look at Spectral Methods
,”
Coastal Eng.
,
20
(3–4), pp.
249
275
.
7.
Ochi
,
M. K.
,
1998
, Ocean Waves (
Cambridge Ocean Technology Series
),
Cambridge University Press
,
Cambridge
.
8.
Tucker
,
M.
, and
Pitt
,
E.
,
2001
,
Waves in Ocean Engineering
(Elsevier Ocean Engineering Series),
Elsevier Science
,
Oxford
.
9.
CDIP
, “
Station 029
,” Pt. Reyes Buoy, CA, http://cdip.ucsd.edu/?nav=recent&stn=029&xitem=info.
10.
Otnes
,
R.
, and
Enochson
,
L.
,
1978
,
Applied Time Series Analysis: Basic Techniques
, Vol.
1
,
Wiley
,
New York
.
11.
Kullback
,
S.
, and
Leibler
,
R.
,
1951
, “
On Information and Sufficiency
,”
Ann. Math. Stat.
,
22
(
1
), pp.
79
86
.
12.
St. Dennis
,
M.
, and
Pierson
,
W. J.
,
1953
, “
On the Motions of Ships in Confused Seas
,”
Trans. SNAME
,
61
, pp.
302
316
.
13.
Alford
,
L.
,
Kim
,
D.
, and
Troesch
,
A.
,
2011
, “
Estimation of Extreme Slamming Pressures Using the Non-Uniform Fourier Phase Distributions of a Design Loads Generator
,”
Ocean Eng.
,
38
(
5–6
), pp.
748
762
.
14.
Kim
,
D.
,
Engle
,
A.
, and
Troesch
,
A.
,
2011
, “
Estimates of Long-Term Combined Wave Bending and Whipping for Two Alternative Hull Forms
,”
Transactions of SNAME 2011
, Vol.
119
.
15.
Ochi
,
M.
,
1990
,
Applied Probability and Stochastic Processes in Engineering and Physical Sciences
,
Wiley
,
New York
.
You do not currently have access to this content.