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Topological Derivative for Shallow Water Equations
Coastal erosion is a major and growing environmental problem describing the
movement of sand caused by tides, waves or currents. Several phenomena
contribute to the significant advance of the sea. These include climate change,
with rising sea levels due to the melting of ice at the Earth's poles, the
amplification of the tidal effect, leading to the transport of large masses of
sand, storms, etc. We contribute to this problem by using topological shape
optimization techniques applied to an PDE describing coastal erosion. We use
Shallow water equations as a model.Comment: 31 page