Mathematical Modeling of Shoreline Evolution (Classic Reprint)

Bernard le Mehaute, Mills Soldate

ISBN 10: 152811728X / ISBN 13: 9781528117289

Published by Forgotten Books, 2018

About this Item

Print on Demand. This book explores the fascinating and complex world of shoreline evolution, a topic that has long challenged coastal engineers and scientists. The author delves into the history of mathematical models used to predict how coastlines change over time, starting with the pioneering work of Pelnard-Considere in the 1950s. He examines the limitations of early models and traces the development of more sophisticated approaches, including the two-line theory of Bakker, which attempts to account for the movement of sand both along and perpendicular to the shoreline. The book also delves into the intricate impact of wave diffraction on shoreline evolution, exploring how waves bend around obstacles like groins and headlands, shaping the coastline in unique ways. The author discusses the concept of "hooked beaches," which are often formed by the combined effects of refraction and diffraction around headlands, and examines various empirical and theoretical approaches to understanding their formation. The insights presented in this book provide a crucial foundation for understanding the forces that shape our coastlines. By examining the development and evolution of mathematical modeling, the author highlights the ongoing quest to develop reliable and practical tools for predicting future shoreline changes. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.

Seller Inventory # 9781528117289_0

Bibliographic Details

• Title: Mathematical Modeling of Shoreline Evolution (Classic Reprint)
• Publisher: Forgotten Books
• Publication Date: 2018
• Language: English
• ISBN 10: 152811728X
• ISBN 13: 9781528117289
• Binding: Paperback
• Condition: New
• Book Type: print-on-demand item
• Seller catalogs:
  • Physics

About this title

Synopsis

Understand how coastlines change with waves, storms, and structures
Explore a focused literature survey on mathematical models of shoreline evolution. This edition highlights practical numerical methods for predicting shoreline change thanks to wave action, currents, and shoreline structures, with emphasis on long-term trends relevant to coastal design.

The book provides a clear overview of key theories, from the Pelnard-Considere framework to Bakker’s two-line model, and examines how wave diffraction and onshore-offshore transport shape shorelines near groins and headlands. It emphasizes engineering applicability, data needs, and the limitations of early, idealized approaches, offering a path toward flexible, usable modeling for coastal projects.

• Grounded explanations of long-term shoreline evolution and the role of waves and currents


• Fairly practical discussion of numerical schemes that engineers can apply


• Insights into how structures like groins and breakwaters influence sediment transport


• Review of how diffusion, diffraction, and two-line theories interact to predict changes

Ideal for engineers, researchers, and planners seeking a rigorous, accessible introduction to coastal morphodynamics.