This article is cited in 1 scientific paper (total in 1 paper)
Difference scheme with a symmetry analyzer for equations of gas dynamics
A. V. Koldobaa, G. V. Ustyugovaba
a Moscow Institute of Physics and Technology (SU)
b Keldysh Institute of Applied Mathematics RAS
The paper proposes a symmetry analyzer as an element of the computational algorithm for the numerical integration of two-dimensional equations of ideal gas dynamics. A symmetry analyzer is an algorithm that allows using grid data to give preference to one or another (in the present work, Cartesian or polar) components of a vector field for its reconstruction on the cell interfaces of a computational grid and subsequent calculation of fluxes of conservative variables. A computational algorithm was constructed using a polar-type computational grid and including a symmetry analyzer. The algorithm is easily transferred to the three-dimensional computational grids of cylindrical type.
Godunov type difference scheme, symmetry analyzer.
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A. V. Koldoba, G. V. Ustyugova, “Difference scheme with a symmetry analyzer for equations of gas dynamics”, Matem. Mod., 31:7 (2019), 45–57
Citation in format AMSBIB
\by A.~V.~Koldoba, G.~V.~Ustyugova
\paper Difference scheme with a symmetry analyzer for equations of gas dynamics
\jour Matem. Mod.
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G. V. Ustyugova, A. V. Koldoba, “Raznostnaya skhema s analizatorom simmetrii dlya uravnenii magnitnoi gidrodinamiki”, Matem. modelirovanie, 32:12 (2020), 65–80
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