Two-Layer Completely Conservative Difference Schemes for the Gasdynamic Equations in Eulerian Coordinates with Adaptive Solution Regularization
- Autores: Poveshchenko Y.A.1, Gasilov V.A.1, Podryga V.O.1,2, Rehimly O.R.3, Sharova Y.S.1
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Afiliações:
- Keldysh Institute of Applied Mathematics
- Moscow Automobile and Road Construction State Technical University (MADI)
- Moscow Institute of Physics and Technology
- Edição: Volume 55, Nº 7 (2019)
- Páginas: 976-989
- Seção: Numerical Methods
- URL: https://journal-vniispk.ru/0012-2661/article/view/155094
- DOI: https://doi.org/10.1134/S0012266119070103
- ID: 155094
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Resumo
A family of two-layer completely conservative difference schemes with space-profiled weight factors for approximations on a time grid is constructed for the gasdynamic equations in Eulerian coordinates. We propose a construction for regularized mass, momentum, and internal-energy fluxes that effectively removes nonphysical solution oscillations and does not violate the complete conservativeness of the difference schemes in this class.
Sobre autores
Yu. Poveshchenko
Keldysh Institute of Applied Mathematics
Autor responsável pela correspondência
Email: hecon@mail.ru
Rússia, Moscow, 125047
V. Gasilov
Keldysh Institute of Applied Mathematics
Autor responsável pela correspondência
Email: vgasilov@keldysh.ru
Rússia, Moscow, 125047
V. Podryga
Keldysh Institute of Applied Mathematics; Moscow Automobile and Road Construction State Technical University (MADI)
Autor responsável pela correspondência
Email: pvictoria@list.ru
Rússia, Moscow, 125047; Moscow, 125319
O. Rehimly
Moscow Institute of Physics and Technology
Autor responsável pela correspondência
Email: orxan@rehimli.info
Rússia, Dolgoprudnyi, Moscow oblast, 141700
Yu. Sharova
Keldysh Institute of Applied Mathematics
Autor responsável pela correspondência
Email: yulia-shar@mail.ru
Rússia, Moscow, 125047
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