Modeling and Computation of Casting Process by Particle Method

  • Masaki KazamaEmail author
  • Tamon Suwa
  • Yasuhiro Maeda


Since particle-based computational methods, such as smoothed particle hydrodynamics (SPH) method, are suitable to treat free surfaces and moving boundaries, it is expected that the simulation with particle methods can represent more accurate molten metal flow. Hence, we apply the SPH method to some casting processes and validate the numerical results by comparing with experiments. While fluid behaviors of the transportation and the mold filling processes are expressed sufficiently, ladle pouring process of aluminum alloy is not reproduced by the existing scheme. So we developed a new numerical model of surface oxide film, and our numerical results show good agreement with the experimental data.


casting process comparison with experiment particle method simulation solidification 



  1. 1.
    J.J. Monaghan, Smoothed Particle Hydrodynamics, Ann. Rev. Astron. Astrophys., 1992, 30, p 543–574CrossRefGoogle Scholar
  2. 2.
    P.W. Cleary, Extension of SPH to Predict Feeding Freezing and Defect Creation in Low Pressure Die Casting, Appl. Math. Model., 2010, 34, p 3189–3201CrossRefGoogle Scholar
  3. 3.
    T. Suwa, T. Nakagawa, and K. Murakami, A Study of the Wave Transformation Passing over an Artificial Reef using SPH Method, J Comput Sci Technol, 2013, 7(2), p 126–133CrossRefGoogle Scholar
  4. 4.
    Y. Ohtake, A. Belyaev, M. Alexa, G. Turk, and H.-P. Seidel, Multi-level Partition of Unity Implicits, ACM Trans. Graph., 2003, 22(3), p 463–470CrossRefGoogle Scholar
  5. 5.
    R. Xu, P. Stansby, and D. Laurence, Accuracy and Stability in Incompressible SPH (ISPH) Based on the Projection Method and a New Approach, J. Comput. Phys., 2009, 228(18), p 6703–6725CrossRefGoogle Scholar
  6. 6.
    S.J. Lind, R. Xu, P.K. Stansby, and B.D. Rogers, Incompressible Smoothed Particle Hydrodynamics for Free-Surface Flows: A generalized diffusion-based algorithm for stability and validations for impulsive flows and propagating waves, J. Comput. Phys., 2012, 231(4), p 1499–1523CrossRefGoogle Scholar
  7. 7.
    A. Skillen, B.D. Rogers, P.K. Stansby, and S. Lind, A diffusion based shifting algorithm for incompressible smoothed particle hydrodynamics: Validation with cases involving slamming bodies and cylinder exit, 7th international SPHERIC workshop, Prato, Italy, 2012Google Scholar
  8. 8.
    S. Marrone, M. Antuono, A. Colagrossi, G. Colicchio, D. Le Touzé, and G. Graziani, δ-SPH Model for Simulating Violent Impact Flows, Comput. Methods Appl. Mech. Eng., 2011, 200(13), p 1526–1542CrossRefGoogle Scholar
  9. 9.
    P.N. Sun, A. Colagrossi, S. Marrone, and A.M. Zhang, The δplus-SPH Model: Simple Procedures for a Further Improvement of the SPH Scheme, Comput. Methods Appl. Mech. Eng., 2017, 315, p 25–49CrossRefGoogle Scholar
  10. 10.
    T. Tamai and S. Koshizuka, Least Squares Moving Particle Semi-Implicit Method, Comput. Part. Mech., 2014, 1(3), p 277–305CrossRefGoogle Scholar
  11. 11.
    G.M. Zhang and R.C. Batra, Modified Smoothed Particle Hydrodynamics Method and Its Application to Transient Problems, Comput. Mech., 2004, 34(2), p 137–146CrossRefGoogle Scholar
  12. 12.
    N. Nomeritae, E. Daly, S. Grimaldi, and H.H. Bui, Explicit Incompressible SPH Algorithm for Free-Surface Flow Modelling: A Comparison with Weakly Compressible Schemes, Adv. Water Resour., 2016, 97, p 156–167CrossRefGoogle Scholar
  13. 13.
    M. Asai, A.M. Aly, Y. Sonoda, and Y. Sakai, A Stabilized Incompressible SPH Method by Relaxing the Density Invariance Condition, J. Appl. Math., 2012, 139583, p 1–24CrossRefGoogle Scholar
  14. 14.
    M. Kazama, T. Suwa, and Y. Maeda, Modeling and Computation of the Molten Aluminum Alloy Flow with Oxide Film by Smoothed Particle Hydrodynamics, J. Jpn. Found. Eng., 2018, 90, p 68–74 (in Japanese)Google Scholar
  15. 15.
    R. Shibuya, H. Okatsuka, Y. Noda, and K. Terashima, Sloshing Suppression Control with Designed Transfer and Tilt Input by Using Generalized Predictive Method, Trans. Soc. Instrum. Control Eng., 2013, 49, p 134–141 (in Japanese)CrossRefGoogle Scholar
  16. 16.
    M. Kazama, K. Ogasawara, T. Suwa, Y. Maeda, and H. Ito, Particle Simulation of the Transfer and the Pouring Processes of the Molten Metal, J. Jpn. Found. Eng., 2017, 89, p 389–395 (in Japanese)Google Scholar
  17. 17.
    Y. Awano, K. Morimoto, Y. Shimizu, and H. Takamiya, Shrinkage Morphology in Al-Si System Casting Alloys, R&D Rev. Toyota CRDL, 1992, 27(1), p 51–62 (in Japanese)Google Scholar

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© ASM International 2019

Authors and Affiliations

  1. 1.Application Development Div, Next Generation Technical Computing UnitFUJITSU LimitedTokyoJapan
  2. 2.Department of Mechanical EngineeringDaido UniversityNagoyaJapan

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