Shifted boundary polynomial corrections for compressible flows: high order on curved domains using linear meshes - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Applied Mathematics and Computation Année : 2023

Shifted boundary polynomial corrections for compressible flows: high order on curved domains using linear meshes

Résumé

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.
Fichier principal
Vignette du fichier
I2M_AMC_Ciallelle_2023.pdf (35.3 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03865587 , version 1 (20-02-2023)

Identifiants

Citer

Mirco Ciallella, Elena Gaburro, Marco Lorini, Mario Ricchiuto. Shifted boundary polynomial corrections for compressible flows: high order on curved domains using linear meshes. Applied Mathematics and Computation, 2023, 441 (15), pp.127698. ⟨10.1016/j.amc.2022.127698⟩. ⟨hal-03865587⟩
43 Consultations
8 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More