The effectiveness of parallelizing an algorithm of the PFC equation solution using PetIGA library / Starodumov I.O., Pavlyuk E.V., Abramov S.M., Klyuev L.V., Galenko P.K., Alexandrov D.V. // Vestnik Udmurtskogo Universiteta: Matematika, Mekhanika, Komp'yuternye Nauki. - 2016. - V. 26, l. 3. - P. 445-450.

ISSN:
19949197
Type:
Article
Abstract:
The paper presents an algorithm for solving the equation of Phase Field Crystal (PFC) in a hyperbolic statement that allows to describe the phase transitions of metastable or unstable state at the nuclear density scale, described by a differential equation of the sixth order with respect to the space variable and the second order with respect to the time variable. The algorithm is based on the method of isogeometric analysis (IGA) and is implemented by PetIGA library. The resulting code allows parallel computations, which significantly speeds up the process of solving a problem. The effectiveness of used instruments during the calculations on high-performance computing clusters is evaluated. An analysis of the effectiveness of the current algorithm is carried out for heterogeneous computer systems.
Author keywords:
High performance computation; Isogeometric analysis; Phase Field Crystal
Index keywords:
нет данных
DOI:
10.20537/vm160312
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https://www.scopus.com/inward/record.uri?eid=2-s2.0-85009792783&doi=10.20537%2fvm160312&partnerID=40&md5=fa6da1ca180df5455df9a6101bcf7ad2
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Link https://www.scopus.com/inward/record.uri?eid=2-s2.0-85009792783&doi=10.20537%2fvm160312&partnerID=40&md5=fa6da1ca180df5455df9a6101bcf7ad2
Affiliations Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, pr. Lenina, 51, Yekaterinburg, Russian Federation; Department of Computational Mathematics, Ural Federal University, pr. Lenina, 51, Yekaterinburg, Russian Federation; Ailamazyan Program Systems Institute of the Russian, Academy of Sciences, Pereslavl-Zalessky, Russian Federation; Immers Ltd., Michurinskii pr., 19, Moscow, Russian Federation; Faculty of Physics and Astronomy, Friedrich Schiller University, Jena, Germany; Department of Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, pr. Lenina, 51, Yekaterinburg, Russian Federation
Author Keywords High performance computation; Isogeometric analysis; Phase Field Crystal
References Starodumov, I., Pavlyuk, E., Klyuev, L., Kovalenko, M., Medyankin, A., Analysis of the efficiency PETSc and PETIGA libraries in solving the problem of crystal growth (2015) CEUR Workshop Proceedings, 1513, pp. 109-122; Galenko, P., Danilov, D., Lebedev, V., Phase-field-crystal and Swift-Hohenberg equations with fast dynamics (2009) Physical Review E, 79 (5), 11p. , 051110; Galenko, P.K., Elder, K.R., Marginal stability analysis of the phase field crystal model in one spatial dimension (2011) Physical Review B, 83 (6), 8p. , 064113; Hughes, T.J.R., Cottrell, J.A., Bazilevs, Y., Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement (2005) Computer Methods in Applied Mechanics and Engineering, 194 (39-41), pp. 4135-4195; Cottrell, J.A., Hughes, T.J.R., Bazilevs, Y., (2009) Isogeometric Analysis: Toward Integration of CAD and FEA, 360p. , Wiley; Bueno, J., Starodumov, I., Gomez, H., Galenko, P., Alexandrov, D., Three dimensional structures predicted by the modified phase field crystal equation (2016) Computational Materials Science, 111, pp. 310-312
Publisher Udmurt State University
Language of Original Document Russian
Abbreviated Source Title Vestn. Udmurt. Univ., Matematika, Mekhanika, Kompyuternye Nauki
Source Scopus