Engineering Physics Annotation << Back Numerical Implementation of a Two-Dimensional Non-Stationary Continuum Model of the Dynamics of Multi-Fraction Electrically Charged Dispersed Particles in a Vacuum Tukmakov D.A. This paper presents a continuum mathematical model of the dynamics of dispersed particles in a vacuum moving under the action of the Coulomb force. The system of equations is implemented within the framework of a continuum methodology for modeling dispersed media flows. The mathematical model is developed as a numerical finite-difference algorithm of second-order accuracy. A nonlinear grid function correction scheme is used to suppress numerical oscillations. The fl ow of a dispersed electrically charged medium in a vacuum is described in a multifraction approximation; it is assumed that the dispersed particles consist of several fractions differing in size or material density. The mass and surface densities of the electric charge of the dispersed particles are considered. The influence of the size of the dispersed particles and the density of the material fractions on the results of calculating the particle dynamics in an electric field is determined. Keywords: fluid and gas mechanics, mathematical modeling, continuous-flow methods, electrohydrodynamics, finite-difference methods. DOI: 10.25791/infizik.7.2026.1565 Pp. 21-29.