PetIGA-MF: a multi-field high-performance toolbox for structure-preserving B-splines spaces

Handle URI:
http://hdl.handle.net/10754/621161
Title:
PetIGA-MF: a multi-field high-performance toolbox for structure-preserving B-splines spaces
Authors:
Sarmiento, Adel ( 0000-0003-0668-2084 ) ; Côrtes, A.M.A.; Garcia, D.A.; Dalcin, Lisandro ( 0000-0001-8086-0155 ) ; Collier, N.; Calo, V.M.
Abstract:
We describe a high-performance solution framework for isogeometric discrete differential forms based on B-splines: PetIGA-MF. Built on top of PetIGA, an open-source library we have built and developed over the last decade, PetIGA-MF is a general multi-field discretization tool. To test the capabilities of our implementation, we solve different viscous flow problems such as Darcy, Stokes, Brinkman, and Navier-Stokes equations. Several convergence benchmarks based on manufactured solutions are presented assuring optimal convergence rates of the approximations, showing the accuracy and robustness of our solver.
KAUST Department:
Extreme Computing Research Center
Citation:
Sarmiento AF, Côrtes AMA, Garcia DA, Dalcin L, Collier N, et al. (2016) PetIGA-MF: a multi-field high-performance toolbox for structure-preserving B-splines spaces. Journal of Computational Science. Available: http://dx.doi.org/10.1016/j.jocs.2016.09.010.
Publisher:
Elsevier BV
Journal:
Journal of Computational Science
Issue Date:
Oct-2016
DOI:
10.1016/j.jocs.2016.09.010
Type:
Article
ISSN:
1877-7503
Sponsors:
This publication was made possible in part by a National Priorities Research Program grant 7-1482-1-278 from the Qatar National Research Fund (a member of The Qatar Foundation), by the European Union's Horizon 2020 Research and Innovation Program of the Marie Skłodowska-Curie grant agreement No. 644602 and the Center for Numerical Porous Media at King Abdullah University of Science and Technology (KAUST). L. Dalcin was partially supported by Agencia Nacional de Promoción Científica y Tecnológica grants PICT 2014–2660 and PICT-E 2014–0191. The J. Tinsley Oden Faculty Fellowship Research Program at the Institute for Computational Engineering and Sciences (ICES) of the University of Texas at Austin has partially supported the visits of VMC to ICES.
Additional Links:
http://www.sciencedirect.com/science/article/pii/S1877750316301491
Appears in Collections:
Articles; Extreme Computing Research Center

Full metadata record

DC FieldValue Language
dc.contributor.authorSarmiento, Adelen
dc.contributor.authorCôrtes, A.M.A.en
dc.contributor.authorGarcia, D.A.en
dc.contributor.authorDalcin, Lisandroen
dc.contributor.authorCollier, N.en
dc.contributor.authorCalo, V.M.en
dc.date.accessioned2016-10-24T13:47:23Z-
dc.date.available2016-10-24T13:47:23Z-
dc.date.issued2016-10en
dc.identifier.citationSarmiento AF, Côrtes AMA, Garcia DA, Dalcin L, Collier N, et al. (2016) PetIGA-MF: a multi-field high-performance toolbox for structure-preserving B-splines spaces. Journal of Computational Science. Available: http://dx.doi.org/10.1016/j.jocs.2016.09.010.en
dc.identifier.issn1877-7503en
dc.identifier.doi10.1016/j.jocs.2016.09.010en
dc.identifier.urihttp://hdl.handle.net/10754/621161-
dc.description.abstractWe describe a high-performance solution framework for isogeometric discrete differential forms based on B-splines: PetIGA-MF. Built on top of PetIGA, an open-source library we have built and developed over the last decade, PetIGA-MF is a general multi-field discretization tool. To test the capabilities of our implementation, we solve different viscous flow problems such as Darcy, Stokes, Brinkman, and Navier-Stokes equations. Several convergence benchmarks based on manufactured solutions are presented assuring optimal convergence rates of the approximations, showing the accuracy and robustness of our solver.en
dc.description.sponsorshipThis publication was made possible in part by a National Priorities Research Program grant 7-1482-1-278 from the Qatar National Research Fund (a member of The Qatar Foundation), by the European Union's Horizon 2020 Research and Innovation Program of the Marie Skłodowska-Curie grant agreement No. 644602 and the Center for Numerical Porous Media at King Abdullah University of Science and Technology (KAUST). L. Dalcin was partially supported by Agencia Nacional de Promoción Científica y Tecnológica grants PICT 2014–2660 and PICT-E 2014–0191. The J. Tinsley Oden Faculty Fellowship Research Program at the Institute for Computational Engineering and Sciences (ICES) of the University of Texas at Austin has partially supported the visits of VMC to ICES.en
dc.publisherElsevier BVen
dc.relation.urlhttp://www.sciencedirect.com/science/article/pii/S1877750316301491en
dc.rights© 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 licenseen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjectIsogeometric analysisen
dc.subjectDiscrete differential formsen
dc.subjectstructure-preserving discrete spacesen
dc.subjectMulti-field discretizationsen
dc.subjectPetIGAen
dc.subjectHigh-performance computingen
dc.titlePetIGA-MF: a multi-field high-performance toolbox for structure-preserving B-splines spacesen
dc.typeArticleen
dc.contributor.departmentExtreme Computing Research Centeren
dc.identifier.journalJournal of Computational Scienceen
dc.eprint.versionPost-printen
dc.contributor.institutionMathematics and Statistics Department, Federal University of the State of Rio de Janeiro, Rio de Janeiro, Brazilen
dc.contributor.institutionBasque Center for Applied Mathematics (BCAM), Bilbao, Spainen
dc.contributor.institutionCentro de Investigación de Métodos Computacionales (CIMEC), Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Universidad Nacional del Litoral (UNL), Santa Fe, Argentinaen
dc.contributor.institutionComputer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN, USAen
dc.contributor.institutionMineral Resources, Commonwealth Scientific and Industrial Research Organization (CSIRO), Kensington, WA, Australia 6152en
kaust.authorSarmiento, Adelen
kaust.authorDalcin, Lisandroen
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