Chapter 32: Waves, Breakers and Surf
Waves are generated by wind and transform as they enter shallow water. Their period, height and steepness determine ship motion, slamming and the safety of bar crossings.
Generation and propagation
Wave height depends on wind speed, duration and fetch; a fully developed sea is reached when further duration or fetch adds nothing. Locally generated sea is steep and confused; swell that has travelled out of the generating area is longer, more regular and lower. Deep-water waves travel at a celerity proportional to their period, so longer swell outruns shorter and arrives first — a classic early warning of a distant storm. Significant wave height is the mean of the highest third; the maximum in a storm may approach twice it, and rogue waves can exceed that.
- Fetch, wind speed and duration set the sea state
- Longer period = faster = arrives first
- Significant height is a statistic, not a limit
Shoaling, refraction and breakers
As depth decreases below about half the wavelength the wave slows, shortens and steepens until it breaks near a depth of about 1.3 times its height. Refraction bends wave crests toward the shallows, concentrating energy on headlands and shoals and creating dangerous breaking seas over bars and in the mouths of harbours even in moderate offshore conditions. Diffraction and reflection produce confused clapotis near breakwaters. Synchronous and parametric rolling arise when the encounter period matches the vessel's natural roll period — alter course or speed to break the resonance.
Formula cards
Deep-water wave speed and length
C (kn) ≈ 3.03 T (s) ; L (ft) ≈ 5.12 T²
Deep water means depth greater than about half the wavelength.
Breaking depth
depth at break ≈ 1.3 × wave height
Explains why bars break in apparently adequate charted depth.
Key takeaways
- • Wave height grows with wind speed, fetch and duration until fully developed.
- • Waves break at roughly 1.3 times their height in depth; bars are lethal on the ebb with onshore swell.
- • Break roll resonance by changing course or speed, altering the encounter period.
Knowledge check
Immediate feedback with rationales. Answer each question to see the explanation.
Chapter 32 quiz
0 of 3 answered
1.A swell of 14-second period in deep water travels at approximately:
2.Wave refraction over a shoal tends to:
3.Significant wave height is defined as:
