Clearly, these difficulties are avoided or minimized if a curvi- 

 linear coordinate system is employed which will map the interior 

 region bounded by the actual coastline, the seaward boundary (taken 

 as the 180-meter depth contour) and two lateral straight lines. Thus, 

 the transformation is such that the coast, as well as the 180-meter 

 isobath, is mapped as a straight line in the image plane. In order 

 to minimize the associated modification of the differential equations 

 governing the storm surge, an orthogonal curvilinear system is 

 employed in the present study, the desired mapping being carried out 

 via a conformal transformation. 



2 . Objectives . 



The objectives are twofold: (a) to develop a method which will 

 conformal ly map the interior region bounded by two arbitrarily shaped 

 curves each beginning and ending on parallel straight lines drawn 

 between the two curves; (b) to develop and verify a numerical model 

 of a hurricane- induced surge on the Continental Shelf employing the 

 transformed equations of motion in the orthogonal curvilinear 

 coordinate system. 



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