http://worldcat.org/entity/work/id/497626400

Mathematical Modeling of Shoreline Evolution

A critical literature survey on mathematical modeling of shoreline evolution is presented. The emphasis is on long-term evolution rather than seasonal or evolution taking place during a storm. The one-line theory of Pelnard-Considere (1956) is developed along with a number of applications. Refinements to the theory are introduced by considering changes of beach slope, wave diffraction effects, wave variation, and variation of sea level. The case of hooked bays is also reviewed. It is concluded that a finite-difference mathematical scheme could be developed for engineering purposes for a small wave angle. For the large wave angle, shoreline instability does not permit use of a reliable mathematical model at this time. (Author).

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