APPENDIX F: SHORELINE EVOLUTION BEHIND A JETTY FOR 

 LINEARLY VARYING BREAKING WAVE ANGLE 



1. In the case of shoreline evolution behind a jetty for lineraly 



varying breaking wave angle, the amplitude of the sand transport rate is 



regarded as constant downdrift of the jetty, and the incident breaking wave 



angle varies linearly from the jetty (with value a ) to the value a in the 



v H 



region undisturbed by the jetty. Two solution areas are needed for describing 

 shoreline change, one in the shadow region and the other outside the shadow 

 region (illuminated area). Equation 101 (main text) describes the variation 

 in breaking wave angle in the shadow region which is of length B . The 

 Laplace transformed equations and boundary conditions are 



d 2 7, 



dx 



s — 

 - 7 7i " 



&< 



dx 



" T Yo = 



< x < B 



x > B 



(Fl) 



(F2) 



dx 



tan a 



x = 



(F3) 



y l = y 2 



x = B 



(F4) 



dy 1 dy 2 

 dx dx 



x = B 



(F5) 



2. The solution to this system of ordinary linear differential 

 equations is 



2B 



-q(B-x) 



-q(B+x) 



tan a e 



qs 



-qx 



Fl 



(F6) 



