Calculate shoaling wave height from water depth from return period data for Airy, Stokes and cnoidal waves.
The inital wave height and the wave period are calculated from the return period data using either the Weibull, Gumbel or Frechet distributions. The wave energy (c H^2 = celerity x wave height squared) is assumed constant. Shoaling wave height is calculated from the wave energy. The shoaling wave celerity can be calculated from the shoaling wavelength and the wave period.
Enter data as sets of three values separated by a comma or tab (R, H, T), with each data set on a new line. Data values can also be copied and pasted from a spreadsheet. Use the data result option to plot either initial wave profile and shoaling wave profile versus phase angle for the selected wave type, the wave height versus water depth for the Airy, Stokes and cnoidal wave, or the wave height versus return period for the Airy, Stokes and cnoidal wave.
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 : Probability Function
- wavetype : Wave Type
- phasetype : Phase Angle Type
- Θu : User Defined Phase Angle
- xu : User Defined Displacement
- tu : User Defined Time
- ztype : Height Above Seabed Type
- zhu : User Defined Height
- Rdata : Return Period Data
- Hdata : Initial Wave Height Data
- Tdata : Wave Period Data
- R : Design Return Period
- di : Initial Water Depth
- ds : Shoaling Wave Water Depth
Tool Output
- Θ : Wave Phase Angle
- η : Shoaling Wave Surface Relative To Mean Sea Level
- Ah : Shoaling Wave Horizontal Acceleration
- Am : Shoaling Wave Acceleration Magnitude
- Av : Shoaling Wave Vertical Acceleration
- Hi : Initial Wave Height
- Hm : Mean Initial Wave Height
- Ho : Minimum Initial Wave Height
- Hw : Shoaling Wave Height
- Li : Initial Wave Length
- Lo : Deep Water Wave Length
- Lw : Shoaling Wave Length
- S : Sample Period
- Tm : Mean Wave Period
- To : Minimum Wave Period
- Tw : Wave Period
- Vh : Shoaling Wave Horizontal Velocity
- Vm : Shoaling Wave Velocity Magnitude
- Vv : Shoaling Wave Vertical Velocity
- cHi^2 : Initial Wave Energy Constant
- cHw^2 : Shoaling Wave Energy Constant
- ci : Initial Wave Celerity
- cvg : Wave Convergence Check
- cw : Shoaling Wave Celerity
- zh : Height Above Seabed
- zs : Shoaling Wave Surface Height Above Seabed
- zw : Shoaling Wave Trough Height Above Seabed