Wave steepness calculator

Calculate wave steepness H/L and wave slope parameter k amplitude with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use wave steepness H/L and wave slope parameter k amplitude to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Regular wave height (m)
2
Wavelength (m)
100
Wave steepness H/L
0.02
Wave slope parameter k amplitude
0.062832

Try another scenario

Regular wave height (m)
2.2
Wavelength (m)
100
Wave steepness H/L
0.022
Wave slope parameter k amplitude
0.069115
Calculation method

Calculation method

Wave steepness H/L

Height/wavelength.

Wave slope parameter k amplitude

pi height/wavelength; not a breaking criterion.

Symbols and units
a
Regular wave height (m)
b
Wavelength (m)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Height, wavelength. Returns Dimensionless steepness. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Regular wave height (m): minimum 0, maximum 1000000000000.0. Wavelength (m): minimum 1e-12, maximum 1000000000000.0.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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