Geodesic
The impact of the dimension of a mathematical model of internal ballistics on design parameters of a shot for grain gunpowder charges
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 73 (2021), pp. 95-110

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The problem of the impact of the mathematical model dimension on the calculated intraballistic characteristics of a shot for the charges made of granulated powder is considered. Mathematical models of the shot are studied using the spatial (axisymmetric), one-dimensional, and zero-dimensional (thermodynamic) formulations. The thermodynamic model takes into account the distribution of the pressure and velocity of a gas-powder mixture behind the shot for a channel of variable cross-section. Comparison of simulation results is carried out in a wide range of loading parameters. It is shown that there is a range of the loading parameters for a thermodynamic approach to give satisfactory approximation to the parameters obtained using the gas-dynamic approach, which describes the flow of a heterogeneous reacting mixture with a separate consideration of phases and intergranular interactions between them. Notably that in the entire range of the charging parameters studied in this work, the one-dimensional and twodimensional gas-dynamic models only slightly differ from each other. Therefore, in the main pyrodynamic period, the actuation of the charge, made of granulated powder, can be simulated using a one-dimensional gas-dynamic model or a zero-dimensional thermodynamic model with allowance for spatial distribution of the pressure and velocity of the gas-powder mixture.
Keywords: internal ballistics, mathematical model, dimension of a problem, computational algorithms, comparison of results. 
@article{VTGU_2021_73_a8,
     author = {I. G. Rusyak and V. A. Tenenev},
     title = {The impact of the dimension of a mathematical model of internal ballistics on design parameters of a shot for grain gunpowder charges},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {95--110},
     publisher = {mathdoc},
     number = {73},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2021_73_a8/}
}
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I. G. Rusyak; V. A. Tenenev. The impact of the dimension of a mathematical model of internal ballistics on design parameters of a shot for grain gunpowder charges. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 73 (2021), pp. 95-110. http://geodesic.mathdoc.fr/item/VTGU_2021_73_a8/