A Riemann Problem Based Coupling Method for Predicting the Combustion of Propellant in a Gun Launching Process

Abstract

Methods for improving the accuracy and guaranteeing the fidelity of numerical predictions are of great importance for physical problems accompanied by strong nonlinear multi‐physic interactions and extreme working conditions. The prediction of propellant combustion in a gun launching process is a typical example. A one‐dimensional two‐fluid model was utilized to govern the fluid field induced by the combustion. In order to guarantee the accuracy of the predictions, we utilized a Roe's scheme to solve the partial differential equations. To guarantee the accuracy of the moving boundaries in the expanding chamber, the coupling between the updating of the fluid field and the approximation of the mechanical interactions between the projectile and the barrel is realized based on the commercial software ABAQUS. The separate treatment of the advection and source terms in the split approach was verified through the agreement between the maximum value of the predicted average pressure in a closed bomb and the theoretical value. The coupled method dealing with the moving boundaries was validated by comparing the numerical results with the analytical results of a pressure‐driven piston case. Finally, the numerical method was applied to a large‐caliber gun. The predicted maximum pressure and the muzzle velocity agree well with experiments.

Mathematical Control of Space-Based Kinetic Energy Weapons Based on Partial Differential Equations and Evaluation of Their Destructive Effects

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Recoil Reduction Method of Gun with Side to Rear Jet Controlled by Piston Motion

“…Menshov [25] adopted a two-dimensional axisymmetric nonequilibrium gassolid two-phase interior ballistics model to analyze the flow field in the barrel, considering the combustion of inhomogeneously distributed propellant. Hu [26] proposed a method based on the Riemann problem to improve the simulation of propellant combustion. Cheng [27,28] and Cao [29,30] proposed a two-fluid model with two moving boundaries to study the propulsion process of a two-stage combustion gun.…”