Comparison of several numerical methods in one-dimensional discontinous elastic wave propagation

0452134 - ÚT 2016 RIV EE eng C - Konferenční příspěvek (zahraniční konf.)
Kolman, Radek - Berezovski, A. - Cho, S.S. - Kopačka, Ján - Gabriel, Dušan - Tamm, K. - Plešek, Jiří - Park, K.C.
Comparison of several numerical methods in one-dimensional discontinous elastic wave propagation.
Nordic Seminar on Computational Mechanics. Tallinn: Institute of Cybernetics at Tallinn University of Technology, 2015 - (Berezovski, A.; Tamm, K.; Peets, T.), s. 89-92. ISBN 978-9949-430-96-3.
[Nordic Seminar on Computational Mechanics /28./. Tallinn (EE), 22.10.2015-23.10.2015]
Grant CEP: GA ČR(CZ) GAP101/12/2315; GA TA ČR(CZ) TH01010772
Grant ostatní: AV ČR(CZ) ETA-15-03
Program: Bilaterální spolupráce
Institucionální podpora: RVO:61388998
Klíčová slova: elastic wave propagation * stress discontinuity and jumps * numerical method in wave propagation * dispersion * spurious oscillations
Kód oboru RIV: BI - Akustika a kmity
http://www.ioc.ee/nscm28/files/Proceedings_of_NSCM28.pdf

In the paper, we compare several approaches for numerical modelling of one-dimensional discontinuous elastic wave propagation in solids. Propagation of stress discontinuity in a shock loaded bar is used as a benchmark test. The classical finite element method with different time schemes, the Park’s explicit time integrator based on pullback interpolation, the central difference method in space and time, the finite volume method with different limiters, isogeometric analysis with different time schemes, the discontinuous Galerkin method and the variational time integrator are tested. The special attention is paid to comparison of front- and post-shock spurious oscillations occurring in the stress distribution along the bar.
Trvalý link: http://hdl.handle.net/11104/0254466