Enter values for one method, then calculate. The page shows the result above this form and updates the graph below.
Wave Height Graph
The graph scales the current result against an input factor for quick sensitivity review.
Formula Used
Wave height can be found with several related physical relationships, depending on the data source and measurement approach.
- Steepness method: H = S × L
- Deep-water period method: L = gT²/(2π), then H = S × L
- Celerity-period method: L = C × T, then H = S × L
- Energy-density method: E = ρgH²/8, so H = √(8E/ρg)
- Crest-trough method: H = Crest elevation − Trough elevation
These equations help compare direct measurements, estimated spectra, and design-level marine conditions in a consistent calculator workflow.
How to Use This Calculator
- Select the method that matches your available wave data.
- Enter the required field values in meters, seconds, or joules per square meter.
- Keep optional support values like depth and freeboard for extra interpretation.
- Press Calculate Wave Height to display the result above the form.
- Review the classification, stability indicators, and graph for a broader engineering check.
- Export the result summary using the CSV or PDF download buttons.
Example Data Table
| Scenario | Method | Primary Inputs | Computed Height | Comment |
|---|---|---|---|---|
| Coastal survey | Steepness and wavelength | S = 0.03, L = 40 m | 1.20 m | Useful for visual sea-state estimation. |
| Deep-water forecast | Period and steepness | T = 7 s, S = 0.02 | 1.53 m | Good when period is known first. |
| Instrumented channel | Celerity, period, steepness | C = 8 m/s, T = 5 s, S = 0.025 | 1.00 m | Matches moving-wave observations well. |
| Energy estimate | Energy density | E = 6000 J/m², ρ = 1025 kg/m³ | 2.18 m | Convenient for spectral summaries. |
Frequently Asked Questions
1. What is wave height?
Wave height is the vertical distance between a wave crest and the following trough. It is a common measure for sea-state description, design checks, and marine forecasting tasks.
2. Why does the calculator offer several methods?
Different projects begin with different measurements. Some datasets report period, some report energy, and others provide direct crest and trough levels. Multiple methods let you work from available field or model inputs.
3. When should I use the steepness method?
Use the steepness method when wavelength is known or can be estimated well. It is practical for conceptual physics work, classroom problems, and first-pass engineering checks involving regular waves.
4. What does the energy-density method represent?
It links stored wave energy per unit surface area to wave height. This is useful when data comes from spectra, wave models, or marine energy studies rather than simple geometric measurements.
5. What is a breaking threshold?
A common rule compares wave steepness or wave height to water depth. If a wave becomes too steep, it tends to become unstable and may break, especially in shoaling coastal water.
6. Is this calculator only for ocean waves?
No. The formulas can also help with lakes, channels, tanks, and laboratory wave flumes, provided the selected assumptions still fit the physical situation and the units remain consistent.
7. Why is freeboard included?
Freeboard helps compare estimated wave height with a structure’s available vertical clearance. That makes the result more useful for screening overtopping risk in practical marine and coastal design work.
8. Does the graph change after each calculation?
Yes. The graph updates from the current calculated height and shows a simple sensitivity pattern. It helps visualize how the result scales as an input factor increases across the plotted points.