Phase field modeling using petiGA

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...

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Main Authors: Vignal, P., Collier, N., Calo, Victor
Format: Conference Paper
Published: 2013
Online Access:http://hdl.handle.net/20.500.11937/48944
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author Vignal, P.
Collier, N.
Calo, Victor
author_facet Vignal, P.
Collier, N.
Calo, Victor
author_sort Vignal, P.
building Curtin Institutional Repository
collection Online Access
description 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. © 2013 The Authors. Published by Elsevier B.V.
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institution Curtin University Malaysia
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spelling curtin-20.500.11937-489442017-09-13T15:41:42Z Phase field modeling using petiGA Vignal, P. Collier, N. Calo, Victor 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. © 2013 The Authors. Published by Elsevier B.V. 2013 Conference Paper http://hdl.handle.net/20.500.11937/48944 10.1016/j.procs.2013.05.329 http://creativecommons.org/licenses/by-nc-nd/3.0/ fulltext
spellingShingle Vignal, P.
Collier, N.
Calo, Victor
Phase field modeling using petiGA
title Phase field modeling using petiGA
title_full Phase field modeling using petiGA
title_fullStr Phase field modeling using petiGA
title_full_unstemmed Phase field modeling using petiGA
title_short Phase field modeling using petiGA
title_sort phase field modeling using petiga
url http://hdl.handle.net/20.500.11937/48944