Hello Nicolas,
The option LINEAR WAVE GROWTH is necessary for wind waves to be generated when the boundary wave conditions are 0, e.g. when modeling a lake.
From the TOMAWAC manual( paragraph 4.2.3.2):
Its main feature is that it permits to start a wave simulation from a nil wave spectrum (whereas the three above mentioned models need some initial energy level for the wave spectrum to grow under wind action).
I hope it helps.
Regards,
Costas
Edit:
OK, I have seen your cas file and you have not set any boundary conditions, so LINEAR WAVE GROWTH should work for you.
Can you try uncommenting the
/TYPE OF BOUNDARY DIRECTIONAL SPECTRUM = 6
line and try again?