ABGRALL, Remi; VIVILLE, Quentin; BEAUGENDRE, Héloïse; DOBRZYNSKI, Cecile

Métadonnées

Licence d’utilisation du document

http://creativecommons.org/licenses/by-nc-sa/

ABGRALL, Remi
Universität Zürich [Zürich] = University of Zurich [UZH]

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

BEAUGENDRE, Héloïse
Institut Polytechnique de Bordeaux

Langue

Document de travail - Pré-publication

Résumé en anglais

A \textit{p}-adaptive continuous Residual Distribution scheme is proposed in this paper.Under certain conditions, primarily the expression of the total residual on a given element $K$ into residuals on the sub-elements of $K$ and the use of a suitable combination of quadrature formulas,it is possible to change locally the degree of the polynomial approximation of the solution.The discrete solution can then be considered non continuous across the interface of elements of different orders, while the numerical scheme still verifies the hypothesis of the discrete Lax-Wendroff theorem which ensures its convergenceto a correct weak solution.We detail the theoretical material and the construction of our \textit{p}-adaptive method in the frame of a continuous Residual Distribution scheme. Different test cases for non-linear equations at different flow velocities demonstrate numerically the validity of the theoretical results.< Réduire

Mots clés en anglais

Compressible Navier Stokes equations

Unstructured meshes

residual distribution schemes

Mesh adaptation

non oscillatory schemes

URI

https://oskar-bordeaux.fr/handle/20.500.12278/193733

Project ANR

Initiative d'excellence de l'Université de Bordeaux - ANR-10-IDEX-0003

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251