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KIAM Preprint № 245, Moscow, 2018
Authors: Krasnov M. M., Ladonkina M.E., Tishkin V.F.
Implementation of the Galerkin discontinous method in the DGM software package
Abstract:
The mathematical foundations of the discontinuous Galerkin method are presented, on which the implementation of the DGM software package is based. This software package implements a modal approach to the Galerkin method with discontinuous basis functions for solving the Navier-Stokes equations on grids of arbitrary structure. Particular attention is paid to the implementation of the Cockburn limiter for cells of arbitrary shape.
Keywords:
discontinuous Galerkin method, Navier-Stokes equation, limiters, DGM software package
Publication language: russian,  pages: 31
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Krasnov Mikhail Mikhailovich,  kmm@kiam.ruorcid.org/0000-0001-7988-6323KIAM RAS
  • Ladonkina Marina Eugenievna,  ladonkina@imamod.ruorcid.org/0000-0001-7596-1672KIAM RAS
  • Tishkin Vladimir Fedorovich,  v.f.tishkin@mail.ruorcid.org/0000-0001-7295-7002KIAM RAS