Numerical simulation of transient hydrodynamic forces from shaped gas cavities formed in liquid under active interaction of liquid and a jet source of high-temperature gas and intensive heat and mass transfer is performed. To solve the task, a method of coarse particle markers with, as opposed to the classical one, an additional stage, when moving boundaries of different media in cells with interfaces of these media are as if stitched, is updated. In addition, problems of inter-media heat and mass transfer by condensation and evaporation are simultaneously solved. The predicted results are compared with the experimental data. Validation and verification are performed by comparing the analysis results with the experimental data. The applicability of the updated method of coarse particle markers to defining transient force impact under multiphase flowing is demonstrated.