Impact of an asteroid on the Earth could be catastrophic. Deflection a
nd fragmentation of such asteroids by surface and underground nuclear
explosives has been proposed. The aim of this investigation is the opt
imization of explosive effects by varying of the explosive depth and c
harge. The study is based on nonlinear thermomechanics of an elastovis
coplastic damaged medium. For numerical simulation Godunov's type sche
me on unstructured grid is used. The deflecting impulse depends on the
power and depth of the charge, and the physical and strength properti
es of asteroid material. The process of dynamical vaporization and dis
integration of asteroid material around the burst point as well as the
generation of intensive jet is also investigated.