At 



m 



(n-1)At nAt 



TIME 



a. Implicit scheme 



(n + 1) At 



o w 



LEGEND 



O yo 



<*?m 



(n-1)At nAt 



TIME 



b. Explicit scheme 



(n + 1) At 



Figure 8. Schematic diagram of the time evolution of a 

 representative shoreline position coordinate 



67. Given shoreline position y, , position yc! can be calculated as 

 (see Figure 6a and Equation 12), 



At / J l \ .. J J l 



y c i = yi + T\jr) + At ut 



.. / 1 3Q 1 3Q 1 \ „ 

 = At V2D ii + V W) + y i 



(21) 



28 



