Two-Layer Completely Conservative Difference Schemes for the Gasdynamic Equations in Eulerian Coordinates with Adaptive Solution Regularization


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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.

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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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