Overview of models for solving the main problem of internal ballistics

Nowadays, most design processes are computer-aided, but in the case of internal ballistics they are not generally available or are highly specialized and secret. On the other hand, an analytical solution of the system of nonlinear differential equations describing the phases of the phenomenon of a shot in a gun barrel does not exist. Therefore, in order to obtain more accurate solutions to the system of equations, it is worth to use numerical methods. The paper presents a theoretical description of the problem based on a review of analytical and numerical models solving the main problem of internal ballistics. Based on this analysis, it was assumed that a possible direction of development is to implement several models to solve the main problem of internal ballistics in numerical solution, so that the end user (designer) can choose different models and check which model works best in his conditions. In addition, using optimization techniques, an attempt can be made to implement algorithms that would be able to search for example, the smallest powder weight value at specific powder parameters and at given maximum pressure and projectile muzzle velocity. The utilitarian goal of further research is to create a new analytical tool supporting the design of barrel weapons.internal ballistics, Lagrange, pyrodynamics, pyrostatics