Phase Field Modeling Using PetIGA

Handle URI:
http://hdl.handle.net/10754/552435
Title:
Phase Field Modeling Using PetIGA
Authors:
Vignal, Philippe A.; Collier, Nathan; Calo, Victor M. ( 0000-0002-1805-4045 )
Abstract:
Phase field modeling has become a widely used framework in the computational material science community. Its ability to model different problems by defining appropriate phase field parameters and relating it to a free energy functional makes it highly versatile. Thermodynamically consistent partial differential equations can then be generated by assuming dissipative dynamics, and setting up the problem as one of minimizing this free energy. The equations are nonetheless challenging to solve, and having a highly efficient and parallel framework to solve them is necessary. In this work, a brief review on phase field models is given, followed by a short analysis of the Phase Field Crystal Model solved with Isogeometric Analysis us- ing PetIGA. We end with an introduction to a new modeling concept, where free energy functions are built with a periodic equilibrium structure in mind.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
Phase Field Modeling Using PetIGA 2013, 18:1614 Procedia Computer Science
Journal:
Procedia Computer Science
Issue Date:
1-Jun-2013
DOI:
10.1016/j.procs.2013.05.329
Type:
Article
ISSN:
18770509
Additional Links:
http://linkinghub.elsevier.com/retrieve/pii/S1877050913004729
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorVignal, Philippe A.en
dc.contributor.authorCollier, Nathanen
dc.contributor.authorCalo, Victor M.en
dc.date.accessioned2015-05-07T13:54:58Zen
dc.date.available2015-05-07T13:54:58Zen
dc.date.issued2013-06-01en
dc.identifier.citationPhase Field Modeling Using PetIGA 2013, 18:1614 Procedia Computer Scienceen
dc.identifier.issn18770509en
dc.identifier.doi10.1016/j.procs.2013.05.329en
dc.identifier.urihttp://hdl.handle.net/10754/552435en
dc.description.abstractPhase field modeling has become a widely used framework in the computational material science community. Its ability to model different problems by defining appropriate phase field parameters and relating it to a free energy functional makes it highly versatile. Thermodynamically consistent partial differential equations can then be generated by assuming dissipative dynamics, and setting up the problem as one of minimizing this free energy. The equations are nonetheless challenging to solve, and having a highly efficient and parallel framework to solve them is necessary. In this work, a brief review on phase field models is given, followed by a short analysis of the Phase Field Crystal Model solved with Isogeometric Analysis us- ing PetIGA. We end with an introduction to a new modeling concept, where free energy functions are built with a periodic equilibrium structure in mind.en
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S1877050913004729en
dc.rightsArchived with thanks to Procedia Computer Science. http://creativecommons.org/licenses/by-nc-nd/3.0/en
dc.subjectPetIGAen
dc.subjectIsogeometric Analysen
dc.subjectIGAen
dc.subjectCahn-Hilliarden
dc.subjectPhase field crystalen
dc.titlePhase Field Modeling Using PetIGAen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalProcedia Computer Scienceen
dc.eprint.versionPublisher's Version/PDFen
kaust.authorVignal, Philippeen
kaust.authorCollier, Nathaniel Orenen
kaust.authorCalo, Victor M.en
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