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A Corrected 3D Parallel SPH Method for Simulating the Polymer Free Surface Flows Based on the XPP Model

Tao Jiang1,2, Yuan-Sheng Tang1, Jin-Lian Ren1,3

Department of Mathematics, Coding and cryptography laboratory , Yangzhou University, Yangzhou 225002, China.
Corresponding author. Tel.: +86 0514 87975402. E-mail:
Department of Applied Mathematics, Northwestern Polytechnical University, Xi’ an, China.

Computer Modeling in Engineering & Sciences 2014, 101(4), 249-297.


In this work, a corrected three-dimensional smoothed particle hydrodynamics (CSPH-3D) method is proposed to simulate the polymer free surface flows in the filling process based on the eXtended Pom-Pom (XPP) model, and some complex deformation phenomena are also numerically predicted. The proposed CSPH-3D method is mainly motivated by a coupled concept that an extended kernel-gradient-corrected SPH (KGC-SPH) method is used in the interior of fluid flow and the traditional SPH (TSPH) method is used near the boundary domain. The present 3D particle method has higher accuracy and better stability than the TSPH-3D method. Meanwhile, a density diffusive term is introduced to restrain the pressure oscillations, and a new boundary treatment is proposed to deal with multi-complex-wall-boundaries, which is effective and convenient for enforcing. Moreover, the MPI parallelization means with a dynamic cells neighbor particle search method is also adopted for enhancing the computational efficiency. The advantages and ability of the present method combined with other techniques are first demonstrated by several bench tests and compared with other results. Then the filling processes confined in two type containers based on the XPP fluid are simulated using the proposed CSPH-3D method, which including the filling with two-inlets in a rectangle container and the complex filling of die casting in a ring container. Some interesting phenomena are observed for example the jet coiling and race track effect, and the shear thinning behavior of XPP fluid is also shown. Finally, the influences of macroscopic rheological parameters on the deformation of complex filling process are numerically predicted and analyzed.


Cite This Article

Jiang, T., Tang, Y., Ren, J. (2014). A Corrected 3D Parallel SPH Method for Simulating the Polymer Free Surface Flows Based on the XPP Model. CMES-Computer Modeling in Engineering & Sciences, 101(4), 249–297.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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