An original formulation is proposed in order to simulate molten metal deposition geometry with a very low CPU time. This new approach is based on the original technique proposed by Leblond et al. [C. R. Mecanique 341 (2013) 770–775] for the incorporation of surface tension in finite element calculations. The FEM simulation strategy is composed of a 2-step resolution algorithm at each time step of the deposition process. At first, the 2D mesh of the surface inflates according to the volume flux of material added. The balance of stress is then treated on the same 2D mesh by considering the interaction between the curvature effect of the surface tension and the pressure difference between the molten zone and the atmosphere which is assumed to be nearly constant. Applications are proposed to show the interest of the numerical method developed in terms of computation efficiency.

提出了一种原始公式，以便以非常低的CPU时间来模拟熔融金属的沉积几何形状。这种新方法基于Leblond等人提出的原始技术。[CR Mecanique 341（2013）770-775]，用于将表面张力纳入有限元计算中。有限元模拟策略由一个2步分辨率算法组成，在每个时间步沉积过程。首先，表面的2D网格根据所添加材料的体积通量膨胀。然后，通过考虑表面张力的曲率效应和熔融区与大气之间的压差（假定近似恒定）之间的相互作用，在同一2D网格上处理应力平衡。提出了一些应用来显示对计算效率感兴趣的数值方法的兴趣。