ABGRALL, Remi; DE SANTIS, Dante

Métadonnées

Licence d’utilisation du document

ABGRALL, Remi
Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
Institut de Mathématiques de Bordeaux [IMB]

DE SANTIS, Dante
Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
Institut de Mathématiques de Bordeaux [IMB]

Langue

Communication dans un congrès

Ce document a été publié dans

20th AIAA Computational Fluid Dynamics Conference, 2011-06-27, Honolulu, Hawaii. 2011-06-27

AIAA

Résumé en anglais

In this work we describe the use of the Residual Distribution schemes for the discretization of the conservation laws. In particular, emphasis is put on the construction of a third order accurate scheme. We first recall the proprieties of a Residual Distribution scheme and we show how to construct a high order scheme for advection problems, in particular for the system of the Euler equations. Furthermore, we show how to speed up the convergence of implicit scheme to the steady solution by the means of the Jacobian-free technique. We then extend the scheme to the case of advection-diffusion problems. In particular, we propose a new approach in which the residuals of the advection and diffusion terms are distributed together to get high order accuracy. Due to the continuous approximation of the solution the gradients of the variables are reconstructed at the nodes and then interpolated on the elements. The scheme is tested on scalar problems and is used to discretize the Navier-Stokes equations.< Réduire

URI

https://oskar-bordeaux.fr/handle/20.500.12278/189989

Projet Européen

Industrialisation of High-Order Methods - A Top-Down Approach

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251