where £(o) and £(IM+1) are ascertained by expanding the computing 

 grid one increment of AS* to the left and right, respectively. In 

 a similar fashion, the JM values of n may be determined and the 

 scale factor v given by: 



v(j) 



n(j +l) - nCj-1) 

 2 AT* 



(65) 



j = 2,3 



JM- 1 . 



Since the computing grid may not be extended landward or toward deeper 

 water, the approximation at i = 1 and j = JM is made that: 



and 



i(l) = [n(2) - n (l)]/AT* , 



v)(JM) = [n(JM) - n(JM-l)]/AT* 



(66) 



(67) 



The area in the x,y plane of each grid block, including those 

 from expanding the grid in the E direction, is determined by numer- 

 ical procedure from the following relation: 



Vi h 



A(i,j) 



"i-1 



i = 1,2 

 j = 1,2 



IM+1 

 JM . 



&K dn 



(68) 



The scale factor associated with the conformal mapping is determined 

 from equation (46) at intersectional points, excluding the coast and 

 seaward boundary, by the expression: 



F(i,j) 



A(i,j) + A(i,j+1) + A(i+l,j) + A(i+l,j+l) 

 4 AS* AT* p(i) v(j) 



(69) 



i = 1,2 • • • IM , 

 j = 2,3 • • • JM-1 , 

 and for grid points along j = 1 or JM by the approximation: 



70 



