DG solver for the simulation of simplified elastic wawes in two dimensional piecewise homogenous media

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dc.contributor.authorHozman Jiřícs
dc.contributor.authorBradáč Josefcs
dc.contributor.authorKovanda Jancs
dc.date.accessioned2018-09-25T12:17:09Z
dc.date.available2018-09-25T12:17:09Z
dc.date.issued2017cs
dc.description.abstractThe theory of elasticity is a very important discipline which has a lot of applications in science and engineering. In this paper we are interested in elastic materials with different properties between interfaces implicated the discontinuous coefficients in the governing elasticity equations. The main aim is to develop a practical numerical scheme for modeling the behaviour of a simplified piecewise homogeneous medium subjected to an external action in 2D domains. Therefore, the discontinuous Galerkin method is used for the simulation of elastic waves in such elastic materials. The special attention is also paid to treatment of boundary and interface conditions. For the treatment of the time dependency the implicit Euler method is employed. Moreover, the limiting procedure is incorporated in the resulting numerical scheme in order to overcome nonphysical spurious overshoots and undershoots in the vicinity of discontinuities in discrete solutions. Finally, we present computational results for two-component material, representing a planar elastic body subjected to a mechanical hit or mechanical loading.
dc.format.extent17cs
dc.identifier.doi10.14311/NNW.2017.27.021
dc.identifier.issn1210-0552cs
dc.identifier.urihttps://dspace.tul.cz/handle/15240/31625
dc.identifier.urihttps://www.semanticscholar.org/paper/DG-SOLVER-FOR-THE-SIMULATION-OF-SIMPLIFIED-ELASTIC-Hozman-Brad%C3%A1%C4%8D/fda5a3ccb522702780f00dd8911ba573cd49899a
dc.language.isoengcs
dc.publisher.cityPrahacs
dc.relation.ispartofseries1cs
dc.relation.urihttp://nnw.cz/doi/2017/NNW.2017.27.021.pdfcs
dc.subjectelastic wave equationcs
dc.subjectpiecewise homogeneous mediumcs
dc.subjectdiscontinuous Galerkin methodcs
dc.subjectinterface conditionscs
dc.subjectimplicit Euler methodcs
dc.subjectlimitingcs
dc.titleDG solver for the simulation of simplified elastic wawes in two dimensional piecewise homogenous mediaen
dc.titleDG solver for the simulation of simplified elastic wawes in two dimensional piecewise homogenous mediacs
local.citation.epage373-389cs
local.citation.spage373-389cs
local.identifier.publikace5089
local.identifier.wok410411900004en
local.relation.issue4cs
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