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

Autor: Federica Caforio, Sébastien Imperiale
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Advanced Modeling and Simulation in Engineering Sciences, Vol 5, Iss 1, Pp 1-27 (2018)
Druh dokumentu: article
ISSN: 2213-7467
DOI: 10.1186/s40323-018-0121-8
Popis: Abstract 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.
Databáze: Directory of Open Access Journals