Accession Number:

ADA188182

Title:

Analytical Solutions of the One-Line Model of Shoreline Change.

Descriptive Note:

Final rept. Jul-Dec 86,

Corporate Author:

COASTAL ENGINEERING RESEARCH CENTER VICKSBURG MS

Personal Author(s):

• Larson, Magnus
• Hanson, Hans
• Kraus, Nicholas C.

Report Date:

1987-10-01

Pagination or Media Count:

102.0

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.

Descriptors:

• *BEACHES
• *COASTAL REGIONS
• *MATHEMATICAL MODELS
• BREAKWATERS
• ENGINEERING
• MATHEMATICAL ANALYSIS
• MINING ENGINEERING
• RANGE(EXTREMES)
• RESPONSE
• RIVERS
• SAND
• SHORES
• TEST AND EVALUATION
• BEACH EROSION
• MODIFICATION
• TERRAIN MODELS
• SEDIMENT TRANSPORT

Subject Categories:

• Civil Engineering
• Physical and Dynamic Oceanography

Distribution Statement:

APPROVED FOR PUBLIC RELEASE