Abstract <p>The article presents the generalized results of a numerical analysis of the process of temperature field formation in a shock-compressed two-phase porous material in the absence and presence of phase transformations during the process of plastic pore filling. Using mathematical modeling methods, the influence of mesoscopic processes of thermal dissipation and heat transfer on the formed temperature field was investigated, and its topological features were established in the presence of molten zones in a shock-compressed porous material.</p>