Parallel Algorithm for Numerical Modeling of Anisotropic Heat and Mass Transfer in Fractal Media

This article considers the algorithmic aspects of parallelization of the numerical implementation of the mathematical model of anisotropic heat and mass transfer, obtained on the basis of the use of fractional order derivatives. Software for implementing a parallel algorithm for modeling heat and ma...

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Vydané v:Experience of designing and application of CAD systems in microelectronics (Online) Ročník 1; s. 39 - 43
Hlavní autori: Sokolovskyy, Yaroslav, Yarkun, Volodymyr, Levkovych, Mariana
Médium: Konferenčný príspevok..
Jazyk:English
Vydavateľské údaje: IEEE 22.02.2023
Predmet:
algorithm acceleration
Computational modeling
derivatives of fractional order
Fractals
heat and mass transfer
Mathematical models
Media
media with a fractal structure
parallel algorithm
Software
Software algorithms
Solid modeling
ISSN:2572-7591
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Abstract This article considers the algorithmic aspects of parallelization of the numerical implementation of the mathematical model of anisotropic heat and mass transfer, obtained on the basis of the use of fractional order derivatives. Software for implementing a parallel algorithm for modeling heat and mass transfer in media with a fractal structure is presented. The acceleration indicators of the parallel algorithm with different discretization parameters were studied on the basis of numerical experiments. A parallel implementation was also compared with a serial solution. The proposed parallel algorithms and their software implementation can scale well on multi-core computers.
AbstractList This article considers the algorithmic aspects of parallelization of the numerical implementation of the mathematical model of anisotropic heat and mass transfer, obtained on the basis of the use of fractional order derivatives. Software for implementing a parallel algorithm for modeling heat and mass transfer in media with a fractal structure is presented. The acceleration indicators of the parallel algorithm with different discretization parameters were studied on the basis of numerical experiments. A parallel implementation was also compared with a serial solution. The proposed parallel algorithms and their software implementation can scale well on multi-core computers.
Author Levkovych, Mariana
Yarkun, Volodymyr
Sokolovskyy, Yaroslav
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  givenname: Yaroslav
  surname: Sokolovskyy
  fullname: Sokolovskyy, Yaroslav
  email: yaroslav.i.sokolovskyi@lpnu.ua
  organization: Lviv Polytechnic National University,Department of Computer-Aided Design,Lviv,Ukraine
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  givenname: Volodymyr
  surname: Yarkun
  fullname: Yarkun, Volodymyr
  email: yarkun@nltu.edu.ua
  organization: Ukrainian National Forestry University,Departmemt of Information Technology,Lviv,Ukraine
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  givenname: Mariana
  surname: Levkovych
  fullname: Levkovych, Mariana
  email: mariana.v.levkovych@lpnu.ua
  organization: Lviv Polytechnic National University,Department of Computer-Aided Design,Lviv,Ukraine
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StartPage 39
SubjectTerms algorithm acceleration
Computational modeling
derivatives of fractional order
Fractals
heat and mass transfer
Mathematical models
Media
media with a fractal structure
parallel algorithm
Software
Software algorithms
Solid modeling
Title Parallel Algorithm for Numerical Modeling of Anisotropic Heat and Mass Transfer in Fractal Media
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