An explicit pseudo-energy conserving time-integration scheme for Hamiltonian dynamics

Abstract : We propose a new explicit pseudo-energy and momentum conserving scheme for the time integration of Hamiltonian systems. The scheme, which is formally second-order accurate, is based on two key ideas: the integration during the time-steps of forces between free-flight particles and the use of momentum jumps at the discrete time nodes leading to a two-step formulation for the acceleration. The pseudo- energy conservation is established under exact force integration, whereas it is valid to second-order accuracy in the presence of quadrature errors. Moreover, we devise an asynchronous version of the scheme that can be used in the framework of slow-fast time-stepping strategies. The scheme is validated against classical benchmarks and on nonlinear or inhomogeneous wave propagation problems.
Type de document :
Article dans une revue
Liste complète des métadonnées

Littérature citée [25 références]  Voir  Masquer  Télécharger

https://hal-enpc.archives-ouvertes.fr/hal-01661608
Contributeur : Frédéric Marazzato <>
Soumis le : mercredi 9 janvier 2019 - 12:38:16
Dernière modification le : mercredi 17 juillet 2019 - 15:44:33

Fichier

Article.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Données associées

Citation

Frédéric Marazzato, Alexandre Ern, Christian Mariotti, Laurent Monasse. An explicit pseudo-energy conserving time-integration scheme for Hamiltonian dynamics. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2019, Computer Methods in Applied Mechanics and Engineering, 347, pp.906-927. ⟨10.1016/j.cma.2019.01.013⟩. ⟨hal-01661608v5⟩

Partager

Métriques

Consultations de la notice

258

Téléchargements de fichiers

237