Simulation of complex filling process based on the generalized Newtonian fluid model using a corrected SPH scheme

In this paper, the polymer filling process based on the generalized Newtonian fluid model is investigated by a corrected SPH scheme. The SPH with Diffusive Term and Kernel Gradient Correction (SPH_DTKGC) scheme is proposed by introducing a density diffusive term to smooth the pressure oscillations and deriving a corrected kernel gradient to improve the accuracy and numerical stability of the traditional SPH method. In addition, a new boundary treatment is presented. The validity of the proposed boundary treatment is verified by simulating the spin-down problem. The merits of the SPH_DTKGC are demonstrated by several benchmarks. Then the SPH_DTKGC method is applied to simulate the molding filling process. The filling processes of a Newtonian fluid with different Reynolds number are simulated first in which some special phenomena are observed. Subsequently, we investigate the filling process of the Cross fluid. Numerical results show that the SPH_DTKGC method is valid to simulate the polymer filling process, and the flow pattern is affected by the Reynolds number, the shear-thinning behavior and the location of the core.