Modeling phase-transitions using a high-performance, isogeometric analysis framework

Philippe Vignal; Lisandro Dalcin; Nathan O. Collier; Victor M. Calo

doi:10.1016/j.procs.2014.05.088

Modeling phase-transitions using a high-performance, isogeometric analysis framework

Philippe Vignal
, Lisandro Dalcin
, Nathan O. Collier
, Victor M. Calo

Research output: Contribution to journal › Conference article › peer-review

5 Scopus citations

Abstract

In this paper, we present a high-performance framework for solving partial differential equations using Isogeometric Analysis, called PetIGA, and show how it can be used to solve phase-field problems. We specifically chose the Cahn-Hilliard equation, and the phase-field crystal equation as test cases. These two models allow us to highlight some of the main advantages that we have access to while using PetIGA for scientific computing.

Original language	English
Pages (from-to)	980-990
Number of pages	11
Journal	Procedia Computer Science
Volume	29
DOIs	https://doi.org/10.1016/j.procs.2014.05.088
State	Published - 2014
Externally published	Yes
Event	14th Annual International Conference on Computational Science, ICCS 2014 - Cairns, QLD, Australia Duration: Jun 10 2014 → Jun 12 2014

Funding

This work was supported by NumPor, the centre for Numerical Porous Media.

Keywords

Cahn-hilliard equation
Isogeometric analysis
Phase-field crystal equation
Phase-fields

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10.1016/j.procs.2014.05.088

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title = "Modeling phase-transitions using a high-performance, isogeometric analysis framework",

abstract = "In this paper, we present a high-performance framework for solving partial differential equations using Isogeometric Analysis, called PetIGA, and show how it can be used to solve phase-field problems. We specifically chose the Cahn-Hilliard equation, and the phase-field crystal equation as test cases. These two models allow us to highlight some of the main advantages that we have access to while using PetIGA for scientific computing.",

keywords = "Cahn-hilliard equation, Isogeometric analysis, Phase-field crystal equation, Phase-fields",

author = "Philippe Vignal and Lisandro Dalcin and Collier, \{Nathan O.\} and Calo, \{Victor M.\}",

year = "2014",

doi = "10.1016/j.procs.2014.05.088",

language = "English",

volume = "29",

pages = "980--990",

journal = "Procedia Computer Science",

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publisher = "Elsevier",

note = "14th Annual International Conference on Computational Science, ICCS 2014 ; Conference date: 10-06-2014 Through 12-06-2014",

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TY - JOUR

T1 - Modeling phase-transitions using a high-performance, isogeometric analysis framework

AU - Vignal, Philippe

AU - Dalcin, Lisandro

AU - Collier, Nathan O.

AU - Calo, Victor M.

PY - 2014

Y1 - 2014

N2 - In this paper, we present a high-performance framework for solving partial differential equations using Isogeometric Analysis, called PetIGA, and show how it can be used to solve phase-field problems. We specifically chose the Cahn-Hilliard equation, and the phase-field crystal equation as test cases. These two models allow us to highlight some of the main advantages that we have access to while using PetIGA for scientific computing.

AB - In this paper, we present a high-performance framework for solving partial differential equations using Isogeometric Analysis, called PetIGA, and show how it can be used to solve phase-field problems. We specifically chose the Cahn-Hilliard equation, and the phase-field crystal equation as test cases. These two models allow us to highlight some of the main advantages that we have access to while using PetIGA for scientific computing.

KW - Cahn-hilliard equation

KW - Isogeometric analysis

KW - Phase-field crystal equation

KW - Phase-fields

UR - https://www.scopus.com/pages/publications/84902812476

U2 - 10.1016/j.procs.2014.05.088

DO - 10.1016/j.procs.2014.05.088

M3 - Conference article

AN - SCOPUS:84902812476

SN - 1877-0509

VL - 29

SP - 980

EP - 990

JO - Procedia Computer Science

JF - Procedia Computer Science

T2 - 14th Annual International Conference on Computational Science, ICCS 2014

Y2 - 10 June 2014 through 12 June 2014

ER -

Modeling phase-transitions using a high-performance, isogeometric analysis framework

Abstract

Funding

Keywords

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