Tangential artificial viscosity to alleviate the carbuncle phenomenon, with applications to single-component and multi-material flows - CEA - Commissariat à l’énergie atomique et aux énergies alternatives
Article Dans Une Revue Journal of Computational Physics Année : 2024

Tangential artificial viscosity to alleviate the carbuncle phenomenon, with applications to single-component and multi-material flows

Résumé

This paper describes a novel approach to alleviate the carbuncle phenomenon which consists in adding to any carbuncle prone Riemann solver an extra viscosity term in tangential momentum flux and its contribution to the energy conservation equation. This term contains one numerical parameter only, a scalar viscosity, which is reduced using a face-based shear detector to preserve shear waves. The idea stems from the investigation of some of the existing Riemann solvers, also presented in the paper. Indeed, when splitting the numerical flux into the face normal and tangential components, we observe that all the carbuncle free Riemann solvers present in the tangential part a numerical viscosity which scales with the sound speed when the normal flow velocity becomes zero. Opposite, in the carbuncle prone solvers this viscosity scales with the normal flow velocity. In particular the carbuncle free HLLCM scheme proposed by Shen et al. can be written by adding to the carbuncle prone HLLC scheme a tangential artificial viscosity term. Then the same can be done for any other Riemann solver, which renders the approach easy to implement in CFD codes for compressible flows. Numerical experiments shows the efficiency of the approach in computing carbuncle free single-component and multi-material flows.
Fichier sous embargo
Fichier sous embargo
0 1 25
Année Mois Jours
Avant la publication
lundi 24 février 2025
Fichier sous embargo
lundi 24 février 2025
Connectez-vous pour demander l'accès au fichier

Dates et versions

cea-04684926 , version 1 (03-09-2024)

Identifiants

Citer

A. Beccantini, Pascal Galon, Nicolas Lelong, Franck Baj. Tangential artificial viscosity to alleviate the carbuncle phenomenon, with applications to single-component and multi-material flows. Journal of Computational Physics, 2024, 516, pp.113369. ⟨10.1016/j.jcp.2024.113369⟩. ⟨cea-04684926⟩
56 Consultations
9 Téléchargements

Altmetric

Partager

More