APPENDIX C: SHORELINE EVOLUTION BEHIND A DETACHED BREAKWATER 



1. In Figure 35 (in the main text) a definition sketch is shown for the 

 case of a detached breakwater and normal incident waves. The shoreline 

 evolution is symmetric about the centerline of the detached breakwater; thus, 

 only half of the problem domain needs to be considered. Since the amplitude 

 of the sand transport rate Q and the incident breaking wave angle a are 

 different behind the breakwater and outside the breakwater, two solution areas 

 are required. Mathematically, the shoreline evolution is described by Equa- 

 tions 74-79. After the Laplace transform technique is applied, the following 

 system of ordinary linear differential equations is obtained: 



a 2 ? 



y. = -L < x < (CI) 



dx 2 £ 1 n 



*\ s - 



— 2 - - - y 2 = x > (C2) 



dx 2 



dy, tan a , 

 1 _ ol_ 



dx s 



x = -L (C3) 



y 9 = x ■* » (C4) 



y x = y 2 x = (C5) 



d Yi Q o dy„ a , 



— = — — + — (C6) 



dx Q , dx s 

 ol 



CI 



