The numerical simulations of earlier experiments  on the fragmentation of aluminum projectile with diameter of 6.35 mm on single steel-mesh bumpers of different specific mass were carried out in the present work. Specific mass of the mesh bumpers in these experiments was varied by changing the diameter of the wire from which was woven the mesh. The spatial distribution of fragments, their mass and kinetic energy (KE) were determined by the numerical simulations. The results of the numerical simulations are in good agreement with the experimental data showing that the cloud of fragments composes of two morphologically distinct groups of fragments, which differ greatly in mass: the central group, consisting mainly of four large fragments, and four groups of crosswise arranged linearly-distributed chains of smaller fragments. The central group of fragments is formed from material that was entirely concentrated in the rear of the projectile before interaction of the projectile and mesh. The numerical modeling following experiments shows that the total KE of the fragments cloud decreases with increasing wire diameter (specific mass) of the mesh. Decreasing the total KE of fragments is associated with a deeper destruction of the projectile. As can be seen from the numerical simulations, the largest fragment in the fragments cloud has the greatest KE, which decreases with increasing the wire diameter (specific mass) of the mesh. The numerical modeling also shows that КЕ of the central group of fragments decreases relative to the total KE of the fragments cloud with increasing the wire diameter (specific mass) of the mesh, while the relative KE of other smaller fragments increases. With regard to the shielding protection of spacecraft from meteoroids and orbital debris clouds, this means a redistribution of KE of fragments over a larger area of the protecting wall, thus reducing the probability of it perforation.