Analytical Solutions of the One-Line Model of Shoreline Change.
Abstract
This report presents more than 25 closed-form solutions of the shoreline change mathematical model for simulating the evolution of sandy beaches. The governing equation is developed in a general form, and the assumptions and techniques used to arrive at tractable closed form solutions are described. Previous solutions are reviewed, and many new solutions are derived. Solutions for beach evolation with and without the influence of coastal structures are given that cover situations involving beach fill of almost arbitrary initial shapes, sand mining, river discharges, groins and jetties, detached breakwaters, and seawalls. Techniques for combining and extending the solutions are discussed. Appendixes provide details of mathematical techniques used and complete derivations of selected new solutions. Such analytical solutions can provide a simple and economical means to make a quick qualitative evaluation of shoreline response under a wide range of environmental and engineering conditions.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1987
- Accession Number
- ADA188182
Entities
People
- Hans Hanson
- Magnus Larson
- Nicholas C. Kraus
Organizations
- Coastal Engineering Research Center