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Germany; Russia Jena; Moscow; Pereslavl-Zalessky; Yekaterinburg
Section Computer science
Title The effectiveness of parallelizing an algorithm of the PFC equation solution using PetIGA library
Author(-s) Starodumov I.O.a, Pavlyuk E.V.a, Abramov S.M.b, Klyuev L.V.c, Galenko P.K.d, Alexandrov D.V.a
Affiliations Ural Federal Universitya, Program Systems Institute, Russian Academy of Sciencesb, Immers Ltdc, University of Jenad
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.
Keywords phase field crystal, high performance computation, isogeometric analysis
UDC 519.711.3
MSC 65D05
DOI 10.20537/vm160312
Received 17 May 2016
Language Russian
Citation Starodumov I.O., Pavlyuk E.V., Abramov S.M., Klyuev L.V., Galenko P.K., Alexandrov D.V. The effectiveness of parallelizing an algorithm of the PFC equation solution using PetIGA library, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2016, vol. 26, issue 3, pp. 445-450.
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