Wave Length Modules

Calculate Airy wave velocity, acceleration and surface profile. The Airy linear gravity wave theory is a first order model of freshwater and seawater gravity waves. The Airy wave is assumed to have a simple sinusoidal (first order harmonic) profile which is a reasonable approximation for small amplitude deep water waves. As the wave amplitude increases and or the water depth decreases the waves tend to become more peaky and are no longer a simple sinusoidal shape. The Airy wave model is then less accurate for analysing water particle motions. For large amplitude waves, or shallow water waves other wave models such as Stokes wave or Cnoidal wave should be used. The recommended wave type is displayed below the calc bar.

Check that the convergence is close to or equal to one. The wave period should be measured at zero current velocity to avoid Doppler effects.

Related Modules :

• Cnoidal Fifth Order Wave Calculation Module
• JONSWAP Wave Spectrum Calculation Module
• Morison's Equation Wave And Current Load Calculation Module
• Ocean Current Calculation Module
• Ocean Wave And Current Velocity And Acceleration Calculation Module
• Ocean Wave Probability And Return Period Calculation Module
• Stokes Fifth Order Wave Calculation Module
• More Ocean Waves Modules

Calculate Cnoidal wave velocity, acceleration and surface profile using Fentons 1999 fifth order wave method.

The Cnoidal wave is defined by the elliptic modulus m, the wave trough depth w, and the wave alpha parameter α. The Cnoidal wave model is a truncated series and is only valid within certain ranges. The Cnoidal wave theory is not recommended where the wavelength over water depth ratio (Lod) is less than 8. The recommended wave type is displayed below the calc bar.

Note : The cnoidal wave theory uses a truncated infinite series. The truncated series is only valid for conditions where the series converges (m > 0.8). For deep water waves with small m, the series does not converge (use the Stokes wave instead).

Check that the convergence is close to or equal to one. The wave period should be measured at zero current velocity to avoid Doppler effects.

Reference : J D Fenton, The Cnoidal Theory Of Water Waves, Developments in Offshore Engineering, Gulf, Houston, chapter 2, 1999

Related Modules :

• Airy Linear Gravity Wave Calculation Module
• JONSWAP Wave Spectrum Calculation Module
• Morison's Equation Wave And Current Load Calculation Module
• Ocean Current Calculation Module
• Ocean Wave And Current Velocity And Acceleration Calculation Module
• Ocean Wave Probability And Return Period Calculation Module
• Stokes Fifth Order Wave Calculation Module
• More Ocean Waves Modules