A New Implicit Finite Difference Algorithm of Thermal Melt Flow during Filling Process

In the SOLA-VOF method of casting simulation, the explicit difference method is often used for calculating the 3D incompressible viscous equations in filling simulation. Because the time step is limited, the computational efficiency is low. In this work, the new algorithm based on the projection method with the implicit finite difference technique is established to calculate the velocity fields and the pressure. It is proved that the new algorithm based on the projection method with the implicit technique is correct through the nonparametric statistics method and experiments. The simulation results show that the new algorithm based on the projection method with the implicit technique is more quickly than the SOLA-VOF method using the explicit difference method.