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.

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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