Numerical methods for a reliable prediction of long water-wave phenomena : uncertainty quantification for tsunami runup

Mario Ricchiuto 1 Pietro Marco Congedo 1 Gianluca Geraci 1 Remi Abgrall 2, 1
1 BACCHUS - Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems
Inria Bordeaux - Sud-Ouest, UB - Université de Bordeaux, CNRS - Centre National de la Recherche Scientifique : UMR5800
Abstract : Aim of this study is to present robust numerical methods for shallow water equations permitting to correctly predict long water-wave phenomena. A semi-intrusive and polynomial-chaos based method are coupled with a residual based distribution scheme by considering several sources of uncertainties in the simulation of a long wave runup on a conical island. Stochastic results are assessed by comparing with Monte Carlo results. Numerical solutions are compared with experimental data by displaying a great sensitivity from physical and modelling uncertainties.
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[Research Report] RR-7809, INRIA. 2011
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Mario Ricchiuto, Pietro Marco Congedo, Gianluca Geraci, Remi Abgrall. Numerical methods for a reliable prediction of long water-wave phenomena : uncertainty quantification for tsunami runup. [Research Report] RR-7809, INRIA. 2011. 〈hal-00643878〉

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