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ALE-DGSEM approximation of wave reflection and transmission from a moving medium
Department of Mathematics, The Florida State University, Tallahassee, USA.ORCID iD: 0000-0002-5902-1522
Department of Mathematics, The Florida State University, Tallahassee, USA.
2014 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 263, p. 233-267Article in journal (Refereed) Published
Abstract [en]

We derive a spectrally accurate moving mesh method for mixed material interface problems modeled by Maxwell's or the classical wave equation. We use a discontinuous Galerkin spectral element approximation with an arbitrary Lagrangian-Eulerian mapping and derive the exact upwind numerical fluxes to model the physics of wave reflection and transmission at jumps in material properties. Spectral accuracy is obtained by placing moving material interfaces at element boundaries and solving the appropriate Riemann problem. We present numerical examples showing the performance of the method for plane wave reflection and transmission at dielectric and acoustic interfaces.

Place, publisher, year, edition, pages
Elsevier, 2014. Vol. 263, p. 233-267
Keywords [en]
Discontinuous Galerkin Spectral Element Method, Moving Material Interface, Arbitrary Lagrangian-Eulerian, Conservation Laws, Numerical Flux, Wave Reflection and Transmission
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-156869DOI: 10.1016/j.jcp.2014.01.022ISI: 000331716900014Scopus ID: 2-s2.0-84893445093OAI: oai:DiVA.org:liu-156869DiVA, id: diva2:1315730
Available from: 2019-05-14 Created: 2019-05-14 Last updated: 2019-05-21Bibliographically approved

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Winters, Andrew Ross

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