Geodesic
A regular difference grid and a method of characteristics
Matematičeskoe modelirovanie, Tome 35 (2023) no. 8, pp. 67-78

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An explicit method of characteristics used to calculate the values of gas-dynamic parameters of one-dimensional unsteady flows is considered. An algorithm for solving gas-dynamic equations written along characteristic directions is formulated for use on a regular grid. An example of calculating the problem for a cylindrical pipe is performed.It is shown that with a time integration step equal to 0.0002 s, the calculation accuracy by the explicit method is close to the results obtained by the implicit method.
Keywords: gas dynamics, full derivative, method of characteristics, difference grid, explicit method. 
@article{MM_2023_35_8_a4,
     author = {A. M. Lipanov},
     title = {A regular difference grid and a method of characteristics},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {67--78},
     publisher = {mathdoc},
     volume = {35},
     number = {8},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2023_35_8_a4/}
}
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A. M. Lipanov. A regular difference grid and a method of characteristics. Matematičeskoe modelirovanie, Tome 35 (2023) no. 8, pp. 67-78. http://geodesic.mathdoc.fr/item/MM_2023_35_8_a4/