Application of Eulerian–Lagrangian Approach to Gas-Solid Flows in Interior Ballistics

Abstract

In a gun system, polydisperse phenomenon may occur due to the local combustion by an igniter system during the firing process. The Eulerian–Eulerian approach still lacks the capability of describing particle mixing under given conditions. A detailed insight of the interior ballistics must be predicted for the better safety and the lower cost at the development stage. The multiphase particle in cell (MP-PIC) model based on the Eulerian–Lagrangian approach, known to be more efficient than the conventional Eulerian–Lagrangian approach, has been initially applied for the simulation of the interior ballistics. A good efficiency with the MP-PIC model has been obtained in terms of the computational cost. The axisymmetric numerical code with the MP-PIC model has been developed for two-dimensional analysis of the interior ballistics. As part of the verification process for the code, several test computations have been performed: sod shock tube, free piston motion problem, and virtual gun calculated by IBHVG2 code. The code has become reliable with well-agreed results with the comparison data. Additionally, a numerical model for the orifices to describe the vent holes of the igniter on the coarse grid has been developed with the lumped parameter method used in the IBHVG2. Based on the model, the pressure behavior in the gun chamber according to the igniter length has been investigated. The computational results have shown that the negative differential pressure occurs clearly when the igniter is sufficiently short.

An approach formulated in terms of conserved variables for the characterisation of propellant combustion in internal ballistics

“…For the numerical resolution of the system [10,33,22,34,[11][12][13], a finite-volume approach is adopted. We propose a splitting scheme that has provided good results in different two-phase flow problems [35].…”

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

“…Based on the Roe-averaged parameters, the corresponding eigenvalues l * i and right eigenvectors R * i can be determined according to Equation (14) and Equation (15), respectively.…”

“…The second approach is utilizing high-resolution numerical methods to solve the PDEs established through the mathematical modeling. The numerical methods include a weighted average flux (WAF) method [11], an implicit finite volume upwind difference scheme [3], MacCormack schemes [12], Total Variation Diminishing schemes [13], an Eulerian-Lagrangian approach [14], a dispersion controlled dissipative scheme [15], a FORCE scheme [16], and Roe's schemes [17,18].…”

Study on Dynamic Burning Rate Equation of Propellant

“…The components of propellant charge structure are basically including the main propellant grain charge and center ignition-spread tube. The dynamics model of main propellant charge and basic hypothesis are as follows [21][22][23][24][25]:…”

“…Without considering the stumble movement of the gun.The basic equations of the interior ballistic two-phase flow of main propellant charge in chamber and gun barrel are as Eq. (1)[16,[21][22][23][24][25]:…”