Geodesic
Difference scheme with a symmetry analyzer for equations of gas dynamics
Matematičeskoe modelirovanie, Tome 31 (2019) no. 7, pp. 45-57

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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.
Keywords: Godunov type difference scheme, symmetry analyzer. 
@article{MM_2019_31_7_a2,
     author = {A. V. Koldoba and G. V. Ustyugova},
     title = {Difference scheme with a symmetry analyzer for equations of gas dynamics},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {45--57},
     publisher = {mathdoc},
     volume = {31},
     number = {7},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2019_31_7_a2/}
}
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A. V. Koldoba; G. V. Ustyugova. Difference scheme with a symmetry analyzer for equations of gas dynamics. Matematičeskoe modelirovanie, Tome 31 (2019) no. 7, pp. 45-57. http://geodesic.mathdoc.fr/item/MM_2019_31_7_a2/