3 edition of **Analytical solutions of the one-line model of shoreline change** found in the catalog.

Analytical solutions of the one-line model of shoreline change

Magnus Larson

- 288 Want to read
- 7 Currently reading

Published
**1987**
by U.S. Army Engineer Waterways Experiment Station, available from National Technical Information Service in [Vicksburg, Miss, Springfield, Va
.

Written in English

- Coast changes -- Mathematical models,
- Beach erosion -- Mathematical models,
- Shore protection

**Edition Notes**

Statement | by Magnus Larson, Hans Hanson, and Nicholas C. Kraus ; prepared for Department of the Army, US Army Corps of Engineers. |

Series | Technical report -- CERC-87-15., Technical report (U.S. Army Engineer Waterways Experiment Station) -- CERC-87-15. |

Contributions | Hanson, Hans., Kraus, Nicholas C., U.S. Army Engineer Waterways Experiment Station., Coastal Engineering Research Center (U.S.), United States. Army. Corps of Engineers. |

The Physical Object | |
---|---|

Pagination | 95 p. in various pagings : |

Number of Pages | 95 |

ID Numbers | |

Open Library | OL17083976M |

OCLC/WorldCa | 17289634 |

With respect to the majority of the existing one-line models, which address sandy coastline evolution, the proposed General Shoreline beach model (GSb) is suitable for estimation of shoreline change at a coastal mound made of non-cohesive sediment grains/units as sand, gravel, cobbles, shingle and rock. idealized shoreline response to the governing process. Analytical solution originating from a mathematical model which describes the basic physics is the one tool to understanding it. The analytical solutions are often valuable for giving qualitative insight and understanding the properties of shoreline change in the long-term scale.

describing the shoreline change: one line rep-resenting the shoreline and one representing an offshore contour. LE MEHAUTE and SOL-DATE () present several analytic solutions and discuss the underlying principles of the one-line and two-line theories. WALTON and CHIU () give a brief review of analytic solutions, mainly concerning the. Dean () reviews analytical solutions of shoreline change applicable to beach nourishment projects, along with a new solution for the shoreline change between two groins initially filled with sand. Larson et al. () provide a review of a number of analytical solutions to the one-line model.

Analytical Solutions of the One-Line Model of Shoreline Change. IPCC. (a). Climate Change - The Physical Science Basis: Working Group I Contribution to the Fourth Assessment Report of the IPCC. (M. Tignor & H. L. Miller, Eds.)Science (p. ). Cambridge University Press. IPCC. (b). Climate Change Impacts, Adaptation and. Model domain Coastal One-line model description Coastal evolution model Extended model description Shoreline is a "line model" for modeling the evolution of a coastline as the result of wind/wave-driven longshore sediment transport. It is based on conservation of mass and a semi-empirical sediment transport formula known as the CERC formula.

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Analytical solutions provide a simple and economical means of quickly estimating qualitative and quantitative responses of the shoreline to a wide range of environmental and engineering conditions.

This paper presents analytical solutions for shoreline evolution in the vicinity of coastal structures, including detached breakwaters, seawalls Cited by: Analytical solutions of the one-line model of shoreline change / Related Titles. Series: Technical report ; CERC By.

Larson, Magnus. Hanson, Hans. Kraus, Nicholas C. Coastal Engineering Research Center (U.S.) U.S. Army Engineer Waterways Experiment Station. Full text of "Analytical solutions of the one-line model of shoreline change" See other formats n/ B) NDUISOd 3NH3aDHS TECHNICAL REPORT CERC ANALYTICAL SOLUTIONS OF THE ONE-LINE MODEL OF SHORELINE CHANGE by Magnus Larson, Hans Hanson Department of Water Resources Engineering Institute of Science and Technology University of.

An illustration of an open book. Books. An illustration of two cells of a film strip. Video An illustration of an audio speaker. Analytical solutions of the one-line model of shoreline change Item Preview remove-circle Analytical solutions of the one-line model of shoreline change by Larson, Magnus; Pages: shoreline)theorywasintroducedbyPelnard-Considere(),andithasbeen demonstrated to erablenumericalmodeling oflong-termshorelineevolution(time-scaleontheorderofyears)hasbeen.

A one-line model was also applied for this part of the shoreline to study the problem mathematically. Analysis of the numerical simulation showed.

This paper deals with an analytical solution of the shoreline evolution due to random sea waves. The phenome- non of the shoreline change is modeled by means of a one-line theory. The solution is based on the hypotheses that the deviation of the shoreline planform from the general shoreline alignment (x-axis) approaches zero and that a particular re- lationship.

Evolution of shoreline positions from analytical solutions of one-line model for cases of semi-infinite rectangular beach cut (Case) and rectangular cut in an infinite beach (Case).

(It is noted that in order to show the evolution of shoreline positions for the Case (1) corresponded to the origin as in this figure, the term x * in Eq. References M. Larson, H. Hanson, and N. Kraus Analytical solutions of the one-line model of shoreline change near coastal structures Journal of Waterway, Port, Coastal and Ocean Eng., ASCE No 4 Soon after the tsunami, sandy beaches on both sides of the concave shoreline experienced erosion that was propagating along the coast.

Analysis of the analytical solution of the one-line model indicates that the erosion propagation distance is proportional to. Abstract. This paper investigates physical, analytical, and numerical models used for shoreline change modeling. The equilibrium beach profile, longshore sediment transport, and the effect of structures on shoreline are also discussed.

Some Result of Comparison between Numerical and Analytical Solution of the One-Line Model for Shoreline Change. Vietnam Journal of Mechanics, 28(2): 94 - the numerical model is accepted to be capable of representing of shoreline evolution qualitatively even for complex coastal regions.

Keywords: Longshore sediment transport, Shoreline change model, One-line theory, Wave diffraction, Analytical solutions. 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.

Analytical solutions of the one-line model of shoreline change. [Vicksburg, Miss.: U.S. Army Engineer Waterways Experiment Station] ; [Springfield, Va.]: [Available from National Technical Information Service], [].

New analytical and numerical solutions of this important model are described. Specifically: 1) original semi-analytical solutions are derived that relax the unrealistic assumption of existing analytical work that a constant wave condition drives shoreline change and, 2) a more general form of the one-line model is solved with a novel.

one-line theory approach. Their analytical solutions provide valuable qualitative and quantitative insight into the shoreline response in the vicinity of coastal structures. Additionally, LeMehaute and Brebner () discussed the solutions for shoreline change at the groynes, with and without bypassing of.

A simple numerical model predicting the change of shoreline to be induced by the construction of detached breakwater is developed in this paper. The developed numerical model is first verified by comparison with the analytical solution of constant angle model. In comparison, it is found that the constant angle model has some problems.

The difference of sediment volume. Corpus ID: Title Coastline modelling with UNIBEST: Areas close to structures @inproceedings{SalmTitleCM, title={Title Coastline modelling with UNIBEST: Areas close to structures}, author={Ing G L S Van Der Salm and M J F Stive and M Zijlema and Ir A P Luijendijk and Ir B J A Huisman and Advisor Researcher}, year={} }.

Analytical solutions of the one-line model of shoreline change / By Magnus. Larson, Hans. Hanson, Nicholas C. Kraus, Coastal Engineering Research Center (U.S.), U.S.

Army Engineer Waterways Experiment Station. and United States. Army. Corps of Engineers. Specialists started developing different coastline models in order to simulate coastline change, and the first one-line model was developed by Pelnard-Considère in (Dean, ). ShorelineS is a new shoreline simulation model introduced by (D.

Roelvink, ) to overcome the severe limitations of existing coastline models. Even though equation (1) is used directly in some engineering applications, it is also true that equation (4) is extensively used, specially through its nice analytical solutions [Larson et al., ; Payo et al., ].

In this case, a correct evaluation of the diffusivity coefficient is essential.Dozens of different models have been developed to simulate shoreline change since the first one-line model was proposed by Pelnard-Considère in (Dean ).

For a more detailed summary of the history of one-line theory, refer to Larson et al. (). Although many shoreline change.