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Vessel Quotas and Operating Requirements Vessel Quotas and ...

Vessel Quotas and Operating Requirements Vessel Quotas and ...

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Wave generation models <strong>and</strong> example calculations<br />

(shallow water)<br />

cos 2 ( α)<br />

⎡<br />

⎛<br />

⎞⎤<br />

2k ⋅ ⋅d<br />

8⋅⎢1<br />

− ⎜ ⎥<br />

⎣ ⎝ sinh( 2⋅k⋅d)<br />

⎠⎦<br />

= α = cusp locus angle<br />

2<br />

⎛ 2k ⋅ ⋅d<br />

3 −<br />

⎞<br />

⎜<br />

sinh( 2⋅k⋅d)<br />

⎝<br />

2⋅π<br />

k = wave number<br />

λ<br />

⎠<br />

at F = 1, V = C = C g = gd ⋅ <strong>and</strong> α = 90⋅deg<br />

at F > 1, only diverging waves exist <strong>and</strong> transverse waves are no longer generated<br />

α = asin<br />

⎛<br />

⎜<br />

⎝<br />

gd ⋅<br />

V<br />

⎞<br />

⎠<br />

V⋅cos( θ)<br />

⎛<br />

⎞<br />

⎛<br />

⎞<br />

gT ⋅<br />

⎜<br />

⎝ 2⋅π<br />

⎠ tanh 2⋅π⋅d<br />

= ⎜<br />

general relation, V, θ, d, <strong>and</strong> T<br />

⎝ VT ⋅ ⋅cos( θ)<br />

⎠<br />

2of10<br />

Peratrovich, Nottingham <strong>and</strong> Drage, Inc.

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