APPENDIX E: SHORELINE EVOLUTION DOWNDRIFT OF A JETTY IF AN ARBITRARY 

 NUMBER OF SOLUTION AREAS IS USED TO MODEL DIFFRACTION 



1. The area downdrift of a jetty is divided into N distinct solution 

 areas of assumed different sand transport properties. In an arbitrary solu- 

 tion area j , the amplitude of sand transport rate is denoted as Q . and 

 the incident breaking wave angle as a . . The shoreline evolution is denoted 

 as y. in the solution area bounded bv the shoreline coordinates x and 

 x... . Equations 95 to 99 (main text) mathematically describe the shoreline 

 evolution in one solution area. Using the Laplace transform technique, the 

 governing equations take the following form: 



d 2 y. 



-J- - f- y - (El) 



dx j 



y. = y j+1 x = x. +1 ( E2) 



yj = yj.i * = Xj CB3) 



dx j-1 dx V °J J-l oj-1/ s 



X = X . 



J 



(E4) 



d y j+ i -o *y 



dx 



= fi2 r 1 + ( a -a.i - s2a •) - (E5) 



j dx \ oj+1 ] o]/s v -" 



X = X j+ 1 



El 



