An explicit solution for the breaking wave characteristics cannot 

 be obtained from equations (11) to (23) and equation (26) . A numerical 

 solution is required and it becomes important to reduce the number of 

 independent parameters as much as possible. By straightforward manipu- 

 lation of the equations, only three independent parameters need to be 

 known: deepwater wave steepness, Hq/Lq; beach slope, S; and deepwater 

 incident wave angle, Oq. 



A computer algorithm is constructed to solve the problem. The 

 basic process consists of the following steps: 



H 

 (1) Give values for -j — , S, a 



(2) Assume K =K^=A=1 and \ or ,^^ ^ =0.4 



(3) Guess a value for 



(4) Find 



cb 



Hb Ho /Lib\ -1 



(5a) Determine = K K x ^^ — [- 1 



Ho AibN 



L II, j 

 o ^ lo-' 



■©■ 



and k^^ d^ = 2. ^^ ^ 



Hb ■■ — -1 



(5b) Determine -; — = K K x 



3b o ^ 3o 



and k3^ d^ = 2.(^1 ^ 



3b 



^Ib 

 (6a) Find -z = tanh k , d, 



lo 



L3b /^^^1^3\ 



(6b) Find^=tanhk3^dJ— ^ 



3° \1"^ osj 



(7) Find oi^ from equation (22), using wavelength 



ratio from step (6), and find Kj. from equation 

 (16) 



\29 



