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A mathematical model for long-term, three-dimensional shoreline evolution is developed. The combined effects of variations of sea level; wave refraction and diffraction; loss of sand by density currents during storms, by rip currents, and by wind; bluff erosion and berm accretion; effects of manmade structures such as long groin or navigational structures; and beach nourishment are all taken into account. A computer program is developed with various subroutines which permit modification as the state-of-the-art progresses. The program is applied to a test case at Holland Harbor, Michigan.D D/, FORM AN 73 1473 EDITION OF » MOV 65 IS OBSOLETE UNCLASSIFIED SECURITY CLASSIFICATION OF THIS PAGE

This report is published to provide coastal engineers with a literature survey on mathematical modeling of shoreline evolution, which it is hoped will lead the way in establishing a flexible and practical numerical method suitable for predicting shoreline evolution resulting from the construction of navigation and shore structures. The work was carried out under the coastal structures program of the Coastal Engineering Research Center (CERC). The report was prepared by Bernard Le Mehaute, senior vice president, and Mills Soldate, Tetra Tech, Inc. , Pasadena, California, under CERC Contract No. DACW72-7T-C-0002. Funds for the preparation of this literature review part of the contract were provided by the^U.'S. Army Engineer Division, North Central, Chicago, Illinois. Dr. Weggel was the CERC contract monitor for the report, under the general supervision of G.M. Watts, Chief, Engineering Development Division. Comments on this publication are invited.