wavedispersion

[k, L, C, Cg] = wavedispersion(h, T, kCalcMethod)

Description

Solve water wave dispersion relation

Calculate wave number (k), wave length (L), wave celereity (C), and wave group velocity (Cg) using linear wave theory

Inputs

h

Water depth in (m)

T

Wave period in (s)

If peak wave frequency (Tp) is used, calculated values represent peak wave

kCalcMethod=’beji’;

Wave number calculation method

‘hunt’: Hunt (1979), ‘beji’: Beji (2013), ‘vatankhah’: Vatankhah and Aghashariatmadari (2013)

‘goda’: Goda (2010), ‘exact’: calculate exact value

Note: inputs can be as a single value or a 1-D vertical array

Outputs

k

Wave number in (radian/m)

L

Wave length in (m)

C

Wave celerity in (m/s)

Cg

Wave group celerity in (m/s)

Examples

[k,L,C,Cg]=wavedispersion(1,3,'beji');

[k,L,C,Cg]=wavedispersion([1;1.1],[3;3.1],'exact');

References

Beji, S. (2013). Improved explicit approximation of linear dispersion relationship for gravity waves. Coastal Engineering, 73, 11-12.

Goda, Y. (2010). Random seas and design of maritime structures. World scientific.

Hunt, J. N. (1979). Direct solution of wave dispersion equation. Journal of the Waterway Port Coastal and Ocean Division, 105(4), 457-459.

Vatankhah, A. R., & Aghashariatmadari, Z. (2013). Improved explicit approximation of linear dispersion relationship for gravity waves: A discussion. Coastal engineering, 78, 21-22.