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JONSWAP Wave Velocity And Period

Calculate JONSWAP wave seabed velocity and zero upcrossing period from spectral moments.

The seabed velocity and upcrossing period is calculated using a first order Airy wave transformation. The Airy wave transformation may not be valid in shallow water. The calculation has been optimised for elevations on or near the seabed, and is not recommended for elevations greater than half the water depth. Return period data can be analysed using either the Weibull, Gumbel or Frechet distribution.

Reference : Hasselmann K et al : Measurements of Wind-Wave Growth And Swell Decay During The Joint North Sea Wave Project (JONSWAP)

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CALCULATOR : JONSWAP Ocean Wave Seabed Velocity And Period From Spectral Moments [FREE]   ±

Calculate JONSWAP seabed significant wave velocity and zero upcrossing period from the significant wave height and peak wave period using the JONSWAP spectral moments.

The wave velocity and zero upcrossing period are calculated from the spectral moments using a first order Airy wave spectral transformation function. The calculation has been optimised for seabed and near seabed elevation. It is recommended to use the calculation for elevations less than or equal to half the water depth. The Airy wave transformation may not be valid in shallow water.

Tool Input

  • gatype : Gamma Factor Type
    • γu : User Defined Gamma
  • d : Water Depth
  • Hs : Wave Significant Height
  • Tp : Peak Wave Period
  • z : Height Above Seabed

Tool Output

  • γ : Gamma Peak Enhancement Factor
  • ωp : Wave Peak Frequency
  • L : Wave Length
  • M0 : 0th Spectral Moment
  • M2 : 2nd Spectral Moment
  • Tz : Zero Upcrossing Period
  • Us : Significant Wave Velocity
  • cvg : Convergence Factor
  • kw : Wave Number

CALCULATOR : JONSWAP Ocean Wave Seabed Velocity And Period From Return Period Data [FREE]   ±

Calculate JONSWAP seabed significant wave velocity and zero upcrossing period from return period data using the Weibull, Gumbel or Frechet distributions.

The significant wave height and peak wave period are calculated from the significant wave height and peak wave period. The seabed velocity spectrum is calculated using an Airy wave transfer function. The calculation is optimised for seabed and near seabed elevations, and should not be used for elevations greater than half the water depth.

The regression data is displayed in the output view at the bottom of the page. Enter data values as sets of three values separated by a comma (R, H, T), with each data set on a new line. Data values can also be copied and pasted from a spreadsheet.

Tool Input

  • sptype : Wave Sample Period
    • Su : User Defined Wave Sample Period
  • offtype : Probability Function Parameter Type
    • Hou : User Defined Minimum Wave Height
    • Tou : User Defined Minimum Wave Period
  • rtype : Linear Regression Type
  • gatype : Gamma Factor Type
    • γu : User Defined Gamma
  • Rdata : Return Period Data
  • Hdata : Wave Significant Height Data
  • Tdata : Wave Peak Period Data
  • R : Design Return Period
  • d : Water Depth
  • Z : Design Elevation Above Seabed

Tool Output

  • γ : Gamma Peak Enhancement Factor
  • ωp : Wave Peak Frequency
  • Ho : Minimum Wave Height
  • Hs : Significant Wave Height
  • Hsm : Mean Significant Wave Height
  • L : Wave Length
  • M0 : 0th Spectral Moment
  • M2 : 2nd Spectral Moment
  • S : Sample Period
  • To : Minimum Peak Wave Period
  • Tp : Peak Wave Period
  • Tpm : Mean Peak Wave Period
  • Tz : Zero Upcrossing Period At Design Elevation
  • Us : Significant Wave Velocity At Design Elevation
  • cvg : Convergence Factor
  • kw : Wave Number