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A unified variational framework for the space discontinuous Galerkin method for elastic wave propagation in anisotropic and piecewise homogeneous media
CentraleSupélec, Université Paris-Saclay, France.
CentraleSupélec, Université Paris-Saclay, France.
CentraleSupélec, Université Paris-Saclay, France.ORCID iD: 0000-0002-3213-0040
CentraleSupélec, Université Paris-Saclay, France.
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2018 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 338, p. 299-332Article in journal (Refereed) Published
Abstract [en]

We present a unified multidimensional variational framework for the space discontinuous Galerkin method for elastic wave propagation in anisotropic and piecewise homogeneous media. Based on an elastic wave oriented formulation and using a tensorial formalism, the proposed framework allows a better understanding of the physical meaning of the terms involved in the discontinuous Galerkin method. The unified variational framework is written for first-order velocity-stress wave equations. An uncoupled upwind numerical flux and two coupled upwind numerical fluxes using respectively the Voigt and the Reuss averages of elastic moduli are defined. Two numerical fluxes that are exact solutions of the Riemann problem on physical interfaces are also developed and analyzed in the 1D case. The implemented solvers are then applied to different elastic media, especially to polycrystalline materials that present a particular case of piecewise homogeneous media. The use of the three upwind numerical fluxes, which only solve approximately the Riemann problem at element interfaces, is investigated.

Place, publisher, year, edition, pages
2018. Vol. 338, p. 299-332
Keywords [en]
Space discontinuous Galerkin method; Elastic wave propagation; Anisotropy; Piecewise homogeneous medium; Polycrystalline materials
National Category
Natural Sciences
Research subject
Applied and Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-227028DOI: 10.1016/j.cma.2018.04.018OAI: oai:DiVA.org:kth-227028DiVA, id: diva2:1202811
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QC 20180523

Available from: 2018-05-01 Created: 2018-05-01 Last updated: 2018-05-23Bibliographically approved

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Nguyen, Van Dang

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  • apa
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Output format
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