Two-Layer Completely Conservative Difference Schemes for the Gasdynamic Equations in Eulerian Coordinates with Adaptive Solution Regularization
- 作者: 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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隶属关系:
- Keldysh Institute of Applied Mathematics
- Moscow Automobile and Road Construction State Technical University (MADI)
- Moscow Institute of Physics and Technology
- 期: 卷 55, 编号 7 (2019)
- 页面: 976-989
- 栏目: 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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详细
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.
作者简介
Yu. Poveshchenko
Keldysh Institute of Applied Mathematics
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Email: hecon@mail.ru
俄罗斯联邦, Moscow, 125047
V. Gasilov
Keldysh Institute of Applied Mathematics
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Email: vgasilov@keldysh.ru
俄罗斯联邦, Moscow, 125047
V. Podryga
Keldysh Institute of Applied Mathematics; Moscow Automobile and Road Construction State Technical University (MADI)
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Email: pvictoria@list.ru
俄罗斯联邦, Moscow, 125047; Moscow, 125319
O. Rehimly
Moscow Institute of Physics and Technology
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Email: orxan@rehimli.info
俄罗斯联邦, Dolgoprudnyi, Moscow oblast, 141700
Yu. Sharova
Keldysh Institute of Applied Mathematics
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Email: yulia-shar@mail.ru
俄罗斯联邦, Moscow, 125047
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