Аннотация:The report is devoted to numerical simulation of interaction between the post-shock wave frontal of supernova blast remnants and the gas of two molecular clouds (MC). The dynamical formation of MC structures associated with Kelvin-Helmholtz and Richtmayer-Meshkov instabilities occurring in the cloud and interstellar medium interaction zone is simulated. The MC gas flow evolution is derived from the time dependent equations of mass, momentum, and energy conservation. High resolution computational meshes (more than two billion nodes) were used in parallel computing on multiprocessor hybrid computers. In the model two initially spatially separated clouds with different gas density distribution fields interact with the post-shock medium. The peculiarities of clump and shell fragmentation of clouds and formation of filamentous rudiment structures are considered.