Donà, Leonardo (2020) Bathymetry reconstruction via a time-dependent intrinsic shallow water model. [Magistrali biennali]
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In this thesis, we firstly give a presentation of the state of the art of the bathymetry reconstruction problem. Secondly we introduce, in a geometrical setting, the Shallow water model, known for its many applications (dynamics of the athmosphere, geophysical phenomena and more). Furthermore, we use the SW model to derive a novel intrinsic model for the bathymetry reconstruction. More specifically, we find a second order approximation of the Navier-Stokes equations based on the SW model. Finally, employing the Discontinuous Galerkin method, we perform the first steps towards the experimental validation of our model.
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