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Design of Passive Defense Structures in Coastal Engineering

D. Isèbe(1), P. Azérad(2), F. Bouchette(3), B. Mohammadi(4*)

(1) Institut de Mathématiques et de Modélisation de Montpellier (I3M) – CC51 – Université Montpellier II, France
(2) Institut de Mathématiques et de Modélisation de Montpellier (I3M) – CC51 – Université Montpellier II, France
(3) Geosciences Montpellier (ISTEEM) - CC56 - Université Montpellier II, France
(4) Institut de Mathématiques et de Modélisation de Montpellier (I3M) – CC51 – Université Montpellier II, France
(*) Corresponding author



This paper aims to show that shape optimization can be efficiently applied to coastal engineering. This is a feasibility study for the design of defense structures for wave attenuation in deep water and against sandy beach erosion. Hence, we consider short wave propagation on a constant depth toward a vertical wall or sea cliff and long wave propagation in a domain with slow but arbitrary depth variations. The governing equations are either based on the Helmholtz wave propagation model or on a parabolic nonlinear refraction/diffraction model in shallow water. In each case, the shape of defense structures is modified in order to minimize a pre-defined cost function taking into account the strength (energy) of the water waves.
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Shape Design; Global Optimization; Water Wave Propagation; Scattering; Coastal Engineering; Beach Erosion

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