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dc.contributor.authorQuezada de Luna, Manuel
dc.contributor.authorKetcheson, David I.
dc.date.accessioned2014-11-03T16:18:40Z
dc.date.available2014-11-03T16:18:40Z
dc.date.issued2013-07-14
dc.identifier.citationNumerical Simulation of Cylindrical Solitary Waves in Periodic Media 2013, 58 (3):672 Journal of Scientific Computing
dc.identifier.issn0885-7474
dc.identifier.issn1573-7691
dc.identifier.doi10.1007/s10915-013-9747-3
dc.identifier.urihttp://hdl.handle.net/10754/333581
dc.description.abstractWe study the behavior of nonlinear waves in a two-dimensional medium with density and stress relation that vary periodically in space. Efficient approximate Riemann solvers are developed for the corresponding variable-coefficient first-order hyperbolic system. We present direct numerical simulations of this multiscale problem, focused on the propagation of a single localized perturbation in media with strongly varying impedance. For the conditions studied, we find little evidence of shock formation. Instead, solutions consist primarily of solitary waves. These solitary waves are observed to be stable over long times and to interact in a manner approximately like solitons. The system considered has no dispersive terms; these solitary waves arise due to the material heterogeneity, which leads to strong reflections and effective dispersion.
dc.language.isoen
dc.publisherSpringer Nature
dc.relation.urlhttp://link.springer.com/10.1007/s10915-013-9747-3
dc.relation.urlhttp://arxiv.org/abs/1209.5164
dc.rightsArchived with thanks to Journal of Scientific Computing
dc.subjectStegotons
dc.subjectSolitary waves
dc.subjectPeriodic media
dc.subjectEffective dispersion
dc.subjectHyperbolic PDEs
dc.subjectRiemann solvers
dc.titleNumerical Simulation of Cylindrical Solitary Waves in Periodic Media
dc.typeArticle
dc.contributor.departmentNumerical Mathematics Group
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalJournal of Scientific Computing
dc.eprint.versionPost-print
dc.contributor.institutionTexas A & M University, College Station, TX, 77843, USA
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)
kaust.personKetcheson, David I.
refterms.dateFOA2018-06-13T15:34:14Z


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