A combined ADER-DG and PML approach for simulating wave propagation in unbounded domains

Handle URI:
http://hdl.handle.net/10754/552771
Title:
A combined ADER-DG and PML approach for simulating wave propagation in unbounded domains
Authors:
Amler, Thomas; Hoteit, Ibrahim ( 0000-0002-3751-4393 ) ; Alkhalifah, Tariq A.
Abstract:
In this work, we present a numerical approach for simulating wave propagation in unbounded domains which combines discontinuous Galerkin methods with arbitrary high order time integration (ADER-DG) and a stabilized modification of perfectly matched layers (PML). Here, the ADER-DG method is applied to Bérenger’s formulation of PML. The instabilities caused by the original PML formulation are treated by a fractional step method that allows to monitor whether waves are damped in PML region. In grid cells where waves are amplified by the PML, the contribution of damping terms is neglected and auxiliary variables are reset. Results of 2D simulations in acoustic media with constant and discontinuous material parameters are presented to illustrate the performance of the method.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; Earth Science and Engineering Program
Citation:
A combined ADER-DG and PML approach for simulating wave propagation in unbounded domains, AIP Conference Proceedings 1479 , 1251 (2012); doi: 10.1063/1.4756380
Journal:
AIP Conference Proceedings
Conference/Event name:
International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012
Issue Date:
19-Sep-2012
DOI:
10.1063/1.4756380
Type:
Conference Paper
Additional Links:
http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4756380
Appears in Collections:
Conference Papers; Physical Sciences and Engineering (PSE) Division; Earth Science and Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorAmler, Thomasen
dc.contributor.authorHoteit, Ibrahimen
dc.contributor.authorAlkhalifah, Tariq A.en
dc.date.accessioned2015-05-14T06:46:34Zen
dc.date.available2015-05-14T06:46:34Zen
dc.date.issued2012-09-19en
dc.identifier.citationA combined ADER-DG and PML approach for simulating wave propagation in unbounded domains, AIP Conference Proceedings 1479 , 1251 (2012); doi: 10.1063/1.4756380en
dc.identifier.doi10.1063/1.4756380en
dc.identifier.urihttp://hdl.handle.net/10754/552771en
dc.description.abstractIn this work, we present a numerical approach for simulating wave propagation in unbounded domains which combines discontinuous Galerkin methods with arbitrary high order time integration (ADER-DG) and a stabilized modification of perfectly matched layers (PML). Here, the ADER-DG method is applied to Bérenger’s formulation of PML. The instabilities caused by the original PML formulation are treated by a fractional step method that allows to monitor whether waves are damped in PML region. In grid cells where waves are amplified by the PML, the contribution of damping terms is neglected and auxiliary variables are reset. Results of 2D simulations in acoustic media with constant and discontinuous material parameters are presented to illustrate the performance of the method.en
dc.relation.urlhttp://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4756380en
dc.rightsArchived with thanks to AIP Conference Proceedingsen
dc.titleA combined ADER-DG and PML approach for simulating wave propagation in unbounded domainsen
dc.typeConference Paperen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentEarth Science and Engineering Programen
dc.identifier.journalAIP Conference Proceedingsen
dc.conference.date2012-09-19 to 2012-09-25en
dc.conference.nameInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012en
dc.conference.locationKos, GRCen
dc.eprint.versionPublisher's Version/PDFen
kaust.authorAmler, Thomasen
kaust.authorHoteit, Ibrahimen
kaust.authorAlkhalifah, Tariq Alien
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