Abstract
A new implicit solver in the moving particle hydrodynamics (MPH) method for high-viscous incompressible flows was developed. Since the incompressible MPH (MPH-I) method can calculate strictly incompressible flows in the physically consistent manner, it is useful for calculating fluid which shows little compression even under high pressure load as in molding. In this study, the large linear system to be solved in the original MPH-I method was converted to the one with a positive definite symmetric coefficient matrix with less dimensions by substituting the pressure equation into the motion equation. With keeping the mathematically identical calculation, the efficiency was largely improved. The calculation speed with the present implicit solver was compared with the existing MPH methods such as weakly compressible MPH through a calculation of colliding high-viscous object. The present method was the fastest in the cases with large diffusion numbers. Furthermore, the performance of the method under high pressure load was demonstrated using a molding-like calculation.
