One-line model with time depedent boundary conditions
A. Baquizo, M.A. Losada, A. Payo
28th International Conference on Coastal Engineering [julio 2002]

Internacionales

Abstract:
One-line modeling is a useful engineering tool which can be used to understand, predict and obtain a first estimation of the short, medium or long term evolution of the coastline. For a state of the art, see Larson et al. (1997). Based on the assumption that the beach profile is maintainced constant but allowed to shift onshore or offshore, reproducing erosion or accretion processes due to longshore sediment transport, and on the mass conservation in a control volume, a parabolic partial differential equation (PdE), is obtained. Once appropriate boundary (BC) and initial (IC) conditions are prescribed, analytical or numerical solutions can be obtained. The goodness of the solution depends, among others, on two aspects: (1) the relationship between the longshore sediment transport and coast orientation and (2) the boudary conditions.
In this work, the second aspect is addressed. Generally, most of the analytical solution are obtained prescribing time independent (or some specific function, like exponential) BC. Here, a very general Boundary Value Problem (BVP) with time dependent BC is formulated and analytically solved. The tool is applied to a very common engineering situation: the prediction of the evolution of a nourished beach with two lateral groins under alternating wave climate directionality.