Numerical Simulation of Cylindrical Solitary Waves in Periodic Media

Handle URI:
http://hdl.handle.net/10754/333581
Title:
Numerical Simulation of Cylindrical Solitary Waves in Periodic Media
Authors:
Quezada de Luna, Manuel; Ketcheson, David I. ( 0000-0002-1212-126X )
Abstract:
We 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.
KAUST Department:
Numerical Mathematics Group; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Numerical Simulation of Cylindrical Solitary Waves in Periodic Media 2013, 58 (3):672 Journal of Scientific Computing
Publisher:
Springer Verlag
Journal:
Journal of Scientific Computing
Issue Date:
14-Jul-2013
DOI:
10.1007/s10915-013-9747-3
Type:
Article
ISSN:
0885-7474; 1573-7691
Additional Links:
http://link.springer.com/10.1007/s10915-013-9747-3; http://arxiv.org/abs/1209.5164
Appears in Collections:
Articles; Numerical Mathematics Group; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorQuezada de Luna, Manuelen
dc.contributor.authorKetcheson, David I.en
dc.date.accessioned2014-11-03T16:18:40Z-
dc.date.available2014-11-03T16:18:40Z-
dc.date.issued2013-07-14en
dc.identifier.citationNumerical Simulation of Cylindrical Solitary Waves in Periodic Media 2013, 58 (3):672 Journal of Scientific Computingen
dc.identifier.issn0885-7474en
dc.identifier.issn1573-7691en
dc.identifier.doi10.1007/s10915-013-9747-3en
dc.identifier.urihttp://hdl.handle.net/10754/333581en
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.en
dc.language.isoenen
dc.publisherSpringer Verlagen
dc.relation.urlhttp://link.springer.com/10.1007/s10915-013-9747-3en
dc.relation.urlhttp://arxiv.org/abs/1209.5164en
dc.rightsArchived with thanks to Journal of Scientific Computingen
dc.subjectStegotonsen
dc.subjectSolitary wavesen
dc.subjectPeriodic mediaen
dc.subjectEffective dispersionen
dc.subjectHyperbolic PDEsen
dc.subjectRiemann solversen
dc.titleNumerical Simulation of Cylindrical Solitary Waves in Periodic Mediaen
dc.typeArticleen
dc.contributor.departmentNumerical Mathematics Groupen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalJournal of Scientific Computingen
dc.eprint.versionPost-printen
dc.contributor.institutionTexas A & M University, College Station, TX, 77843, USAen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorKetcheson, David I.en
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