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ssc-367 - Ship Structure Committee

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The wave height exceedance diagram is a curve showing the percentage<br />

of the wave records for which the significant wave height was greater<br />

that the particular height.<br />

M<br />

WAVE SCATTER DIAGRAM<br />

Wave scatter diagrams show the occurances of combinations of<br />

significant wave height and average zero-uncrossing period over an<br />

extended time period such as many years.<br />

Wave height distribution over time can be obtained by actual wave<br />

measurements. The heights and periods of all waves in a given<br />

direction are observed for short periods of time at regular<br />

intervals. A short time interval of several hours may be considered<br />

constant. For this sea state, defined as “stationary”,the mean zero<br />

up-crossing period, Tz, and the significant wave height, Hs, are<br />

calculated. The Hs and Tz pairs are ordered and their probabilities<br />

of occurance written in a matrix form, called a wave scatter diagram.<br />

Sometimes wave scatter diagrams are available for the sea and for the<br />

swell. The sea scatter diagram includes the sea spectra generated<br />

locally. The swell scatter diagram contains the swell spectra (or<br />

regular waves) generated far from the area, days before. Due to<br />

greater energy losses in high frequency waves and the continual phase<br />

shifting caused by viscosity, the energy in irregular seas tends to<br />

shift toward longer periods, and the spectra becomes more peaked as<br />

time passes. The energy in the swell is concentrated about a single<br />

long period/low frequency, and often the swell is treated as a single<br />

regular wave.<br />

A typical wave scatter diagram, presenting statistical data on the<br />

occurance of significant wave height and zero up-crossing period per<br />

wave direction is shown on Figure A-2.<br />

A-19

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