Fig. 3. Local linear theory Zmarkers. and global Fourier theory Zsolid lines. predictions for Record `Twenty'.

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required initial solution estimates that were almost exact. For this ` wave transitional'

situation, a solution was obtained throughout. It is smooth and visually convincing,

except when compared with the near-exact predictions. There is order of magnitude

agreement only. The crest elevation in particular is poorly predicted.

Some variations on the locally linear formulation may achieve a more acceptable and

perhaps also more robust local solution, but the indications are not encouraging.

Eliminating h between the f2 and both the f3 and f4 equations gives:

r g cosh kZ h q z P .

Z v y ka Ua . s Z uabs y Ua . obs

tanh kh.

Z 16.

pd cosh kZ h q z UV .

Fig. 3. Local linear theory Zmarkers. and global Fourier theory Zsolid lines. predictions for Record `Twenty'.