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This article is cited in 6 scientific papers (total in 6 papers)
MECHANICS
On the issue of accuracy of the solution of the direct problem of external ballistics
S. A. Koroleva, A. M. Lipanovab, I. G. Rusyaka a Kalashnikov Izhevsk State Technical University, Izhevsk, Russian Federation
b Keldysh Institute of Applied Mathematics Russian Academy of
Sciences, Moscow
Abstract:
The paper is devoted to the possibility to increase the accuracy of the solution of the direct
problem of external ballistics by means of solving a more comprehensive system of projectile
motion equations and calculating the coefficients of aerodynamic forces and moments based on
the hydrodynamic simulation of the flow around the projectile.
The mathematical modl of external ballistics presented in this article takes into account
rotation of the projectile and oscillation of the latter in relation to the center of mass. Simulation
of the flow around the projectile has been performed by solving the Favre averaged Navier–Stokes equations (FANS), using the $k-\varepsilon$ turbulence model including compressibility. The
numerical method has been implemented with the application of the ANSYS Fluent
computational fluid dynamics module.
Calculation of aerodynamic characteristics of the projectiles has been carried out in a wide
range of parameters: Mach number, $\mathrm{M} = 0.5$–$5.0$; angle of attack, $\alpha = 0$–$20^\circ$; and rotation speed,
$\omega x = 500$–$2000$ rad/s. Based on numerical simulation results, the approximate dependences for
coefficients of aerodynamic force and moment have been obtained using the least square method.
The effect of the considered factors on the solution of trajectory problem has been
investigated for three types of projectiles: the high explosive rotating projectile, the high
explosive feathered projectile, and the armor-piercing subcaliber feathered projectile.
Keywords:
external ballistics, trajectory, aerodynamic coefficients, Navier–Stokes equations, turbulence model, numerical method, accuracy of the solution.
Received: 17.03.2017
Citation:
S. A. Korolev, A. M. Lipanov, I. G. Rusyak, “On the issue of accuracy of the solution of the direct problem of external ballistics”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2017, no. 47, 63–74
Linking options:
https://www.mathnet.ru/eng/vtgu590 https://www.mathnet.ru/eng/vtgu/y2017/i47/p63
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