ARPAIA, Luca; RICCHIUTO, Mario

doi:10.1016/j.jcp.2019.109173

Métadonnées

Licence d’utilisation du document

ARPAIA, Luca
Bureau de Recherches Géologiques et Minières [BRGM]

RICCHIUTO, Mario
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]

Langue

Article de revue

Ce document a été publié dans

Journal of Computational Physics. 2020, vol. 405, p. 109173

Elsevier

Résumé en anglais

We consider the numerical approximation of the Shallow Water Equations (SWEs) in spherical geometry for oceanographic applications. To provide enhanced resolution of moving fronts present in the flow we consider adaptive discrete approximations on moving triangulations of the sphere. To this end, we restate all Arbitrary Lagrangian Eulerian (ALE) transport formulas, as well as the volume transformation laws, for a 2D manifold. Using these results, we write the set of ALE-SWEs on the sphere. We then propose a Residual Distribution discrete approximation of the governing equations. Classical properties as the DGCL and the C-property (well balancedness) are reformulated in this more general context. An adaptive mesh movement strategy is proposed. The discrete framework obtained is thoroughly tested on standard benchmarks in large scale oceanography to prove their potential as well as the advantage brought by the adaptive mesh movement.< Réduire

Mots clés en anglais

Arbitrary Lagrangian Eulerian formulation

curvilinear coordinates

Shallow Water equations

Moving Mesh

Residual Distribution

Well-Balanced

DOI

http://dx.doi.org/10.1016/j.jcp.2019.109173

Project ANR

Tsunamis en Atlantique et MaNche : Définition des Effets par Modélisation - ANR-11-RSNR-0023

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251