A smoothing algorithm to enhance finite-element tsunami modelling: An application to the 5 February 1783 Calabrian case,Italy |
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| Authors: | Stefano Tinti Ivan Gavagni |
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| Institution: | (1) Dipartimento di Fisica, Settore di Geofisica, Università di Bologna, Italy |
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| Abstract: | Numerical simulations are essential tools for studying tsunami generation and evolution and finite-element (FE) methods are widely used, especially because of their capability in modeling water waves in basins with complex bathymetry and irregular coastlines. This paper presents the numerical simulation of an historical Italian tsunami that affected the Tyrrhenian coasts of Calabria and Sicily on 5 February 1783 following a strong destructive earthquake that was the first of a terrible sequence of seismic shocks terrifying the Calabrian population for more than two months. The numerical model is an FE model based on the nonlinear nondispersive shallow-water approximation of the Navier-Stokes equations. Since FE discretization schemes may lead to solutions undesirably affected by noise over coarse grids, in this study numerical noise is controlled by suitably smoothing the FE solution at regular time steps  t
s. The performance of our smoothing algorithm is tested for significant linear cases for which an analytical solution is available. |
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| Keywords: | finite-element numerical model shallow-water approximation smoothing tsunami simulation |
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