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JONSWAP Wave Spectrum

Calculate JONSWAP wave surface spectral density, and seabed velocity spectrum.

The seabed velocity spectrum is calculated using a first order Airy wave transformation.

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 Wave Spectrum [FREE]   ±

Calculate JONSWAP wave surface spectral density and subsea velocity spectrum from the significant wave height and peak wave period using the JONSWAP spectrum.

The wave induced velocity spectrum on or above the seabed is calculated using a first order Airy wave spectral transformation function.

Tool Input

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

Tool Output

  • α : Alpha Generalised Phillips Constant
  • γ : Gamma Peak Enhancement Factor
  • σ : Sigma Spectral Width Parameter
  • ωp : Wave Peak Frequency
  • ωw : Wave Frequency
  • G : Transfer Function
  • L : Wave Length
  • Ss : Surface Spectral Density Function
  • Su : Seabed Velocity Function
  • cvg : Convergence Factor
  • k : Wave Number

CALCULATOR : JONSWAP Ocean Wave Spreading And Velocity Reduction Factor [FREE]   ±

Calculate JONSWAP wave velocity reduction factor from relative heading and spreading factor.

The spreading factor accounts for wave 'choppiness', the tendency for intersecting waves from multiple directions. Smaller spreading factor indicates more choppiness. A relative heading of ninety degrees is perpendicular to the structure.

Tool Input

  • sfactype : Shape Factor Type
    • su : User Defined Spreading Factor
  • rdtype : Velocity Reduction Factor Type
  • Φ : Relative Wave Heading

Tool Output

  • Rdw : Wave Velocity Reduction Factor
  • kw : Wave Shape kw Factor
  • sf : Wave Shape Factor