Mathematical modeling of the liquids movement, accompanied by the phenomenon of cavitation, is developing intensively, but the super-cavitational flow regime has a number of features compared to the localization of the cavity on the streamlined body. The article presents a general approach to the mathematical modeling of the supercavitational flow, describes the used mathematical model. The geometry selected for modeling, the initial parameters and the physical constants characterizing the process are given. Using ANSYS CFX, the flow around a cone installed in a round tube at different flow velocities was calculated. The analysis of the obtained results was carried out, and directions for further research were outlined.