Boussinesq systems in two space dimensions over a variable bottom for the generation and propagation of tsunami wavesReport as inadecuate




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1 LM-Orsay - Laboratoire de Mathématiques d-Orsay

Abstract : Considered here are Boussinesq systems of equations of surface water wave theory over a variable bottom. A simplified such Boussinesq system is derived and solved numerically by the standard Galerkin-finite element method. We study by numerical means the generation of tsunami waves due to bottom deformation and we compare the results with analytical solutions of the linearized Euler equations. Moreover, we study tsunami wave propagation in the case of the Java 2006 event, comparing the results of the Boussinesq model with those produced by the finite difference code MOST, that solves the shallow water wave equations.

Keywords : Boussinesq systems shallow water equations tsunami waves Galerkin-finite element method





Author: Dimitrios Mitsotakis -

Source: https://hal.archives-ouvertes.fr/



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