The urgency of the development of mathematical modeling tools that allow calculating the shape of free surface of the melt during the analysis of surfacing processes, introduced in additive production, is shown. A mathematical formulation of the problem is presented, which corresponds to Lagrangian description of liquid medium. It includes equation of motion and energy equation. A numerical algorithm for solving this problem is described, based on Smoothed Particle Hydrodynamics method, and the corresponding equations are given. The analysis of the results of solution of test problems is carried out and comparison of experimental results of the process with well-known data and physical representations is given. The conclusion is made about the possibility of applying this modeling method for development of additive production and creation of automatic control systems for the processes of shaping.

Molten pool free surface shape calculation and its evaluation in time for analysis of electron beam melting and welding processes is a very important problem. Unfortunately, experimental methods can provide only a part of the necessary information. Electron beam heating creates the conditions for intense metal transfer, and pool surface shape affects the energy absorption efficiency. This paper reports the method which combines the Monte-Carlo simulation for spatial and energy parameters of heating source calculating with the Volume of Fluid algorithm for liquid free-surface numerical evaluation. The velocity and pressure field technique calculation in a molten pool with the action of surface tension forces and vapor recoil pressure is described. It is shown that the proposed simulation method allows to study heat and mass transfer transient processes, including deep penetration channel formation. Model validation was carried out. Simulation results are shown to be consistent with experimental data obtained using a high-speed camera.

No abstract

No abstract

No abstract