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Authors: Tinti, S.* 
Gavagni, I.* 
Piatanesi, A.* 
Title: A finite-element numerical approach for modeling tsunamis
Issue Date: Sep-1994
Series/Report no.: 5/37 (1994)
Keywords: Analytical tests
boundary conditions
numerical model
shallows-water approximation
Subject Classification05. General::05.05. Mathematical geophysics::05.05.99. General or miscellaneous 
Abstract: A numerical scheme suitable for modeling tsunamis is developed and tested against available analytical solutions. The governing equations are the shallow water nonlinear nondispersive equations that are known to be appropriate for tsunami generation and propagation in coastal waters. The integration scheme is based on a finite-element space discretization, where the basic elements are triangles and the shape functions are linear. The time integration is a double step algorithm that is accurate to the second order in the time step ?t. The boundary conditions are pure reflectivity and complete transmissivity on the solid and open boundaries respectively and are implemented by modifying the time integration scheme in a suitable way. The model performance is evaluated by comparing the results with the analytical solutions in selected cases and is quite satisfactory, even when the grid has a coarse spatial resolution.
Appears in Collections:Annals of Geophysics

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