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Preprints of the Keldysh Institute of Applied Mathematics, 2020, 062, 34 pp.
DOI: https://doi.org/10.20948/prepr-2020-62
(Mi ipmp2853)
 

Numerical simulation of a phase transition problems using Intel MKL and PETSc libraries

A. O. Gusev, O. V. Shcheritsa, O. S. Mazhorova
References:
Abstract: We consider the linear systems of equations arising from a finite volume discretization of multicomponent alloy crystallisation problem. The underlying mathematical model of phase transition process accounts for the crystallisation interface movement, convective heat and mass transfer in the solution, diffusion heat and mass transfer in the solid. The performance comparison of direct and iterative methods for sparse linear systems governing the convective motion and heat and mass transfer is carried out. The parallel package for the solution of the corresponding sparse linear systems based on the Intel MKL and PETSc libraries is developed.
Keywords: phase transition, solution crystal growth, Krylov methods, Intel MKL, PETSc.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-20020_Стабильность
Document Type: Preprint
Language: Russian
Citation: A. O. Gusev, O. V. Shcheritsa, O. S. Mazhorova, “Numerical simulation of a phase transition problems using Intel MKL and PETSc libraries”, Keldysh Institute preprints, 2020, 062, 34 pp.
Citation in format AMSBIB
\Bibitem{GusShcMaz20}
\by A.~O.~Gusev, O.~V.~Shcheritsa, O.~S.~Mazhorova
\paper Numerical simulation of a phase transition problems using Intel MKL and PETSc libraries
\jour Keldysh Institute preprints
\yr 2020
\papernumber 062
\totalpages 34
\mathnet{http://mi.mathnet.ru/ipmp2853}
\crossref{https://doi.org/10.20948/prepr-2020-62}
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    Препринты Института прикладной математики им. М. В. Келдыша РАН
     
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