Modelling of quasi-stationary electromagnetic fields in railguns without casing

A mathematical model of an electrodynamic rail-type accelerator without an ideal casing is constructed. A computational algorithm for the numerical solution of the problem is created. To simulate the electromagnetic field corresponding to an unlimited region, methods for specifying artificial boundary conditions have been developed. These methods are based on Green's basic integral formula and the law of Bio–Savard–Laplace. To conduct computational experiments based on the algorithm, software has been developed. The results of solving the model problem testify to the correctness and effectiveness of the developed software for studying the process of acceleration of macrobodies in the channel of a rail-type electrodynamic accelerator.