Staggered grid residual distribution scheme for Lagrangian hydrodynamics - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2016

Staggered grid residual distribution scheme for Lagrangian hydrodynamics

Résumé

This paper is focused on the Residual Distribution (RD) interpretation of the Dobrev et al. scheme [Dobrev et al., SISC, 2012] for the numerical solution of the Euler equations in Lagrangian form. The first ingredient of the original scheme is the staggered grid formulation which uses continuous node-based finite element approximations for the kinematic variables and cell-centered discontinuous finite elements for the thermodynamic parameters. The second ingredient of the Dobrev et al. scheme is an artificial viscosity technique applied in order to make possible the computation of strong discontinuities. The aim of this paper is to provide an efficient mass matrix diagonalization method in order to avoid the inversion of the global sparse mass matrix while keeping all the accuracy properties and to construct a parameter-free stabilization of the scheme to get rid of the artificial viscosity. In addition, we study the conservation and entropy properties of the constructed RD scheme. To demonstrate the robustness of the proposed RD scheme, we solve several one-dimensional shock tube problems from rather mild to very strong ones.
Fichier principal
Vignette du fichier
LagrangeFEM_RD_arxiv.pdf (858.99 Ko) Télécharger le fichier
rho_noML_Bk_RK2_convergence_L1.pdf (175.89 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01327473 , version 1 (06-06-2016)
hal-01327473 , version 2 (02-05-2017)

Identifiants

  • HAL Id : hal-01327473 , version 1

Citer

Remi Abgrall, Tokareva Svetlana. Staggered grid residual distribution scheme for Lagrangian hydrodynamics: Staggered grid RD scheme for Lagrangian hydrodynamics. 2016. ⟨hal-01327473v1⟩
238 Consultations
193 Téléchargements

Partager

Gmail Facebook X LinkedIn More