The numerical simulation of the gaseous dow originated by a gunshot bo
th during the projectile motion within the muzzle and out of it is con
sidered. The numerical solution of the Euler equations is obtained via
a second order accurate ENO scheme. A special algorithm of cells reor
ganization is developed for computing the projectile motion out of the
muzzle. It reveals an interesting property of the ENO schemes and Roe
's approximate solution of automatically capturing discontinuities by
means of the choice of the corresponding grid velocity. The algorithm
developed describes sufficiently well all gasdynamics phenomena which
accompany the gunshot.