PREFACE 



The U.S. Army Coastal Engineering Research Center (CERC) and the U.S. Army 

 Engineer Waterways Experiment Station (WES) entered into an exchange research 

 agreement with the Danish Hydraulic Institute (DHI) , Horsholm, Denmark, in 

 March 1980. In this exchange of research the Corps of Engineers received the 

 System 21 Mark 8, which is a proprietary research model used for computing 

 water elevations and vertically averaged currents, for use at CERC and WES. 

 This report discusses use of the model in estimating short wave transformations. 

 The work was carried out under CERC's Wave Estimation for Design work unit. 

 Coastal Flooding and Storm Protection Research Program, Coastal Engineering 

 Area of Civil Works Research and Development. 



The report was prepared by Dr. Jon M. Hubertz, Oceanographer, under the 

 supervision of Dr. C.L. Vincent, Chief, Coastal Oceanography Branch, and 

 Mr. R.P. Savage, Chief, Research Division. 



Technical Director of CERC was Dr. Robert W. Whalin, P.E., upon publica- 

 tion of the report. 



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. 



i:D E. BISHOP 

 Colonel, Corps of Engineers 

 Commander and Director 



