A conservative penalisation strategy for the semi-implicit time discretisation of incompressible elastodynamics equation - Archive ouverte HAL Access content directly
Journal Articles Advanced Modeling and Simulation in Engineering Sciences Year : 2018

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

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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.
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Dates and versions

hal-01907746 , version 1 (29-10-2018)
hal-01907746 , version 2 (23-11-2018)

Identifiers

  • HAL Id : hal-01907746 , version 2

Cite

Federica Caforio, Sébastien Imperiale. A conservative penalisation strategy for the semi-implicit time discretisation of incompressible elastodynamics equation. Advanced Modeling and Simulation in Engineering Sciences, In press. ⟨hal-01907746v2⟩
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