Overall Variables {do not depend on 6 or S) 

 Wavelength, L 



For the Stream-function theory, there is no definable expression for the wavelength. 

 Rather the wavelength is determined as a part of the numerical solution as described in 

 Appendix I. The dimensionless wavelength is presented (Table XI, Item I) in the following 

 dimensionless form: 





Average Potential Energy, PE 



The average potential energy is defined by Equation (38) and is tabulated (Table XI, 

 Item 2) in dimensionless form as: 



PE' = 



JH^ 



PE 



Note that the dimensionless form is defined to be 0.5 for the linear (Airy) wave theory. 

 Average Kinetic Energy, KE 



The average kinetic energy is defined by Equation (39), and is also tabulated (Table XI, 

 Item 3) in dimensionless form as: 



KE' = 



."YH^, 



KE 



As for the dimensionless potential energy, the dimensionless value for the linear (Airy) 

 wave theory is 0.5. 



Average Total Energy, TE 



The average total energy is simply the sum of the potential and kinetic energy 

 contributions [Equation (40)], and is tabulated in dimensionless form (Table XI, Item 4) 

 such that the difference from unity is an indication of the deviation from the linear wave 

 theory. 



TE' = 



8 



TE 



Average Total Energy Flux, Fj^ 



The average total energy flux is defined by Equation (41), and is tabulated (Table XI, 

 Item 5) in dimensionless form as: 



F' = 

 TE 



yH^ L/T 



TE 



50 



