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The article submits the results of 3D computational modeling of the adiabatic interaction between a shock wave and molecular clouds, central impact and glancing collision between them, in the case of counter movement. According to the problem set in the first case, two spherical clouds with preestablished density fields interact with the post-shock medium of supernova blast remnants. It is demonstrated that the collision give rise to the supersonic turbulence in a cloud mixing zone, the formation of cone-like filamentous structures, the significant stratification of gas density and the disruption of clouds. Problems of vortex filaments origination in clouds wakes are analyzed after simulation of supersonic forward and glancing collision of two molecular clouds.