CIALLELLA, Mirco; GABURRO, Elena; LORINI, Marco; RICCHIUTO, Mario

doi:10.1016/j.amc.2022.127698

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CIALLELLA, Mirco
École Nationale Supérieure d'Arts et Métiers [Bordeaux-Talence] [ENSAM | Bordeaux-Talence]
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]

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

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

Langue

Article de revue

Ce document a été publié dans

Applied Mathematics and Computation. 2023-03, vol. 441, n° 15, p. 127698

Elsevier

Résumé en anglais

In this work we propose a simple but effective high order polynomial correction allowing to enhance the consistency of all kind of boundary conditions for the Euler equations (Dirichlet, characteristic far-field and slip-wall), both in 2D and 3D, preserving a high order of accuracy without the need of curved meshes. The method proposed is a simplified reformulation of the Shifted Boundary Method (SBM) and relies on a correction based on the extrapolated value of the in cell polynomial to the true geometry, thus not requiring the explicit evaluation of high order Taylor series. Moreover, this strategy could be easily implemented into any already existing finite element and finite volume code. Several validation tests are presented to prove the convergence properties up to order four for 2D and 3D simulations with curved boundaries, as well as an effective extension to flows with shocks.< Réduire

Mots clés

Applied Mathematics

Computational Mathematics

Compressible flows

Curved boundaries

Unstructured linear meshes

Shifted Boundary Method

Discontinuous Galerkin

URI

https://oskar-bordeaux.fr/handle/20.500.12278/190653

DOI

http://dx.doi.org/10.1016/j.amc.2022.127698

Projet Européen

Structure Preserving schemes for Conservation Laws on Space Time Manifolds

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251