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ssc-367 - Ship Structure Committee

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A.4.1<br />

Wave Hindcastinq<br />

Wave hindcasting is a term used to describe the process of estimating<br />

the random sea characteristics of an area based upon meteorological<br />

or wind data. Various researchers (ReferencesA.2, A.4, A.6, A.7 and<br />

A.8) have attempted to derive a relationship between the wind speed<br />

over a recent period of time and the spectrum of the random sea<br />

generated by the particular wind. The wind speed data is usually<br />

qualified by two additional parameters, the duration that the wind<br />

has been blowing at that speed and the fetch or distance over open<br />

ocean that the wind has been blowing.<br />

A set of equations as derived by Bretschneider (ReferenceA.2), which<br />

relate wind speed, duration and fetch are as follows.<br />

g*H#<br />

= 0.283*tanh[0..125*(g*F/Uz)””42]<br />

g*Ts / (2r*U) = 1.2*tanh[0.077*(gF/U2)””42<br />

...<br />

g*t minl” =<br />

6.5882*exp{[0.161*A2-0.3692*h+2.024]%<br />

+ O.8798*A}<br />

where<br />

u<br />

is the wind speed,<br />

F<br />

is the fetch,<br />

A<br />

= ln[g*F/U2],<br />

t min<br />

is the minimum duration for which the fetch will<br />

determine the significant height and period, and<br />

tanh<br />

is the hyperbolic tangent.<br />

A-17<br />

-) s“

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