Phase field modeling using petiGA

Philippe A. Vignal, Nathan Collier, V. M. Calo

Research output: Contribution to journalConference articlepeer-review

14 Scopus citations

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 using PetIGA. We end with an introduction to a new modeling concept, where free energy functions are built with a periodic equilibrium structure in mind.

Original languageEnglish
Pages (from-to)1614-1623
Number of pages10
JournalProcedia Computer Science
Volume18
DOIs
StatePublished - 2013
Externally publishedYes
Event13th Annual International Conference on Computational Science, ICCS 2013 - Barcelona, Spain
Duration: Jun 5 2013Jun 7 2013

Keywords

  • Cahn-hilliard
  • IGA
  • Isogeometric analys
  • Petiga
  • Phase field crystal

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