A conservative penalisation strategy for the semi-implicit time discretisation of the incompressible elastodynamics equation
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-preserv...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-12-01
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| Series: | Advanced Modeling and Simulation in Engineering Sciences |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s40323-018-0121-8 |
| Summary: | 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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| ISSN: | 2213-7467 |