belly out
Puff out fully
Belly out describes something curving or bulging outward, like a sail filling with wind or a curtain pushed by a breeze.
The image is of a rounded swelling, as a belly does.
The spinnaker bellied out as the wind caught it.
Her dress bellied out in the gusty air.
The phrase can also mean to exit boldly or brazenly, belly-first, though this use is less common.
billow
Swell outward with air