ARPAIA, Luca; RICCHIUTO, Mario

Métadonnées

Licence d’utilisation du document

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

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

Langue

Rapport

Ce document a été publié dans

2015-01

Résumé en anglais

In this document we consider the construction of an adaptation technique for conservation laws with source terms based on continuous mesh deformation without re-meshing. The objective of the report is to analyse all the fundamental aspects of the process. These go from the choice of the appropriate ALE (Arbitrary Lagrangian Eulerian) of the PDE, allowing to preserve at the discrete level the appropriate steady state equilibrium, to the choice of the dicretization method, to the definition of the mesh deformation technique and finally of the coupling scheme-mesh deformation. For each step different alternatives are proposed and evaluated. Several improvements with repeat to the methods existing in literature are validated on properly chosen numerical benchmarks.< Réduire

Mots clés en anglais

source terms

well-balancedness

ALE formulation

continuous deformation

mesh adaptation

URI

https://oskar-bordeaux.fr/handle/20.500.12278/194530

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