A conservative penalisation strategy for the semi-implicit time discretisation of the incompressible elastodynamics equation - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Advanced Modeling and Simulation in Engineering Sciences Année : 2018

A conservative penalisation strategy for the semi-implicit time discretisation of the incompressible elastodynamics equation

Résumé

The principal aim of this work is to provide an adapted numerical scheme for the approximation of elastic wave propagation in incompressible solids. We rely on high-order conforming finite element with mass lumping for space discretisation and implicit/explicit, second-order, energy-preserving time discretisation. The time step restriction only depends on the shear wave velocity and at each time step a Poisson problem must be solved to account for the incompressibility constraint that is imposed by penalisation techniques.

Dates et versions

hal-04532799 , version 1 (04-04-2024)

Identifiants

Citer

Federica Caforio, Sébastien Imperiale. A conservative penalisation strategy for the semi-implicit time discretisation of the incompressible elastodynamics equation. Advanced Modeling and Simulation in Engineering Sciences, 2018, 5 (1), pp.1-27. ⟨10.1186/s40323-018-0121-8⟩. ⟨hal-04532799⟩

Collections

AMSES
31 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More