RICCHIUTO, Mario; FILIPPINI, Andrea Gilberto

doi:10.1016/j.jcp.2013.12.048

Métadonnées

Licence d’utilisation du document

RICCHIUTO, Mario
Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
Institut de Mathématiques de Bordeaux [IMB]

FILIPPINI, Andrea Gilberto
Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]

Langue

Article de revue

Ce document a été publié dans

Journal of Computational Physics. 2014, vol. 271, p. 306-341

Elsevier

Résumé en anglais

In this paper we consider the solution of the enhanced Boussinesq equations of Madsen and Sorensen (1992) [55] by means of residual based discretizations. In particular, we investigate the applicability of upwind and stabilized variants of continuous Galerkin finite element and Residual Distribution schemes for the simulation of wave propagation and transformation over complex bathymetries. These techniques have been successfully applied to the solution of the nonlinear Shallow Water equations (see e.g. Hauke (1998) [39] and Ricchiuto and Bollermann (2009) [61]). In a first step toward the construction of a hybrid model coupling the enhanced Boussinesq equations with the Shallow Water equations in breaking regions, this paper shows that equal order and even low order (second) upwind/stabilized techniques can be used to model non-hydrostatic wave propagation over complex bathymetries. This result is supported by theoretical (truncation and dispersion) error analyses, and by thorough numerical validation.< Réduire

Métadonnées

Licence d’utilisation du document

Upwind residual discretization of enhanced Boussinesq equations for wave propagation over complex bathymetries

Langue

Ce document a été publié dans

Résumé en anglais

DOI

Origine

Unités de recherche