Wave growth in constant waterdepth

Wave growth calculation, one line, constant depth

Calculation of wave growth acc. to Bretschneider. This routine assumes sufficient duration of the wind for the full development of the waves.
The calculation is carried out using non-dimension parameters:

    equation 1

    equation 2

    equation 3

(in the above, F is the fetch, h is the waterdepth and t the duration of the storm; Uw is the wind speed at 10 m height)

    equation 4

    equation 5

    equation 6

    equation 7

The Tz is calculated from the Tp, using an empirical formula:

    equation 8

The deep water wavelength is calculated with the standard approximation of Cress (see the Help at Orbital Movement)

References:
Shore Protection Manual or Lecture Notes Holthuijsen (Ocean Wave Theory, p16..19) Calculation acc. to Bretschneider; see SPM or Lecture Notes of Holthuijsen.

For Jonswap-formulas the following equations are used, based on the "Manual on rock in coastal engineering"; page 205

    equation 9

    equation 10

    equation 11

However, these equations are only valid if:

    equation 12

Krylov-method
The following equation is standard according to Russian design rules:

    equation 13

Reference
Krylov, YM (1976), Wind waves and their effects, Gidrometeoizdat, Leningrad (in Russian).

Wilson:

    equation 14

    equation 15

    equation 16

    equation 17

For background on the equation of Wilson, see Holthuijsen [19xx]

References:
Holhuijsen, L [19xx] Wave growth