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Dimensionless Ursell Number

Calculate the dimensionless Ursell number.

The Ursell number is a measure of the non linearity of ocean waves.

`Ur = h L^2 / d^3 = (h/d)^3 / (L/d)^2 `

where :

Ur = Ursell number
h = wave height
L = wave length
d = water depth

The Airy wave is suitable for Ur < 1. Stokes wave should be used for Ur < 40. Cnoidal wave should be used for Ur > 40.

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CALCULATOR : Dimensionless Ursell Number Ur (General Form) [FREE]   ±

Calculate dimensionless Ursell wave number.

The Ursell number is a measure of the nonlinearity of ocean waves. The Airy wave is suitable for Ur < 1. Stokes wave should be used for Ur < 40. Cnoidal wave should be used for Ur > 40.

Tool Input

  • d : Water Depth
  • H : Wave Height
  • L : Wave Length

Tool Output

  • Ur : Ursell Number

CALCULATOR : Dimensionless Ursell Number Ur Airy Stokes And Cnoidal Wave [FREE]   ±

Calculate dimensionless Ursell wave number for Airy, Stokes and Cnoidal waves.

The Ursell number is a measure of the nonlinearity of ocean waves. The Airy wave is suitable for Ur < 1. Stokes wave should be used for Ur < 40. Cnoidal wave should be used for Ur > 40.

Tool Input

  • wavetype : Wave Type
  • lttype : Wave Parameter Type
    • Tu : User Defined Wave Period
    • Lu : User Defined Wave Length
  • d : Water Depth
  • H : Wave Height

Tool Output

  • H* : Dimensionless Wave Height Number
  • L : Wave Length
  • T : Wave Period
  • Ur : Dimensionless Ursell Number
  • c : Wave Celerity
  • cvg : Convergence Check
  • d* : Dimensionless Water Depth Number
  • f : Wave Frequency
  • hod : Wave Height Over Water Depth Ratio
  • k : Wave Number
  • lod : Wave Length Over Water Depth Ratio
  • w : Wave Trough Height Above Seabed