PREFACE 



This report describes two numerical computer models which can be used to 

 estimate the transformation of a wave field from deep to shallow water. The 

 models are based on the same theory as presented in the SPM, but represent 

 an improvement in the technique used to obtain and interpret results. The 

 work was carried out under the waves and coastal flooding program of the U.S. 

 Army Coastal Engineering Research Center (CERC) . 



The report was prepared by Jon M. Hubertz, under the general supervision 

 of Dr. C.L. Vincent, Chief, Coastal Oceanography Branch, Research Division. 



Comments on this publication are invited. 



Approved for publication in accordance with Public Law 166, 79th Congress, 

 approved 31 July 1945, as supplemented by Public Law 172, 88th Congress, 

 approved 7 November 1963. 



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, BISHOP 

 lonel. Corps of Engineers 

 mmander and Director 



