Large-caliber howitzers are mainly equipped with modular charge structures,which result in complex flow field.Based on the modular charge structure,a two-dimensional axisymmetric two-phase flow interior ballistic mathematical model for the combustion field partitioning inside the short-barrel gun was established.The MUSCL scheme was used to solve the model.A program was developed to numerically simulate the flow field inside the cannon barrel.The study primarily focused on the combustion process within the modular charge chamber and the influence of different rupture pressures on the combustion of the modular charge structure.The results indicate that the overall average error between simulation results and experimental data is approximately 7.42%,with a peak error of 0.72%.It shows that the established mathematical model and developed program can effectively simulate the firing process of the modular charge artillery.Furthermore,it is observed that the modular charge container hinders the transmission of flame waves.Prior to the rupture of the modular charge container,the flame wave and the pressure wave mainly flow inside the module,and there is less exchange with the outside material.Until the modular cartridge is broken,the powder particles move to the free space in the chamber with the pressure wave,and the flame wave and the pressure wave begin to transmit in the chamber.Moreover,as the rupture pressure of the modular charge container increases,the combustion of the module-loaded propellant chamber becomes more complete,and the pressure rise time becomes shorter.The ignition gas from the igniter diffuses into the surrounding area through the ignition hole,causing the temperature inside the chamber to gradually increase from the ignition hole and spread to the surrounding area,thus igniting the firing propellant.