期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
卷 113, 期 2, 页码 179-207出版社
WILEY
DOI: 10.1002/nme.5608
关键词
finite particle method (FPM); free surface; particle shifting technology (PST); SPH; viscous flows
资金
- National Natural Science Foundation of China [51579222, 51120195001]
- Youth Funds of the State Key Laboratory of Fluid Power and Mechatronic Systems (Zhejiang University) [KLoFP_QN_1604]
- Fundamental Research Funds for the Central Universities [2017XZZX001-02A]
The conventional SPH method has been frustrated with the low accuracy originated from the particle inconsistency. The finite particle method (FPM) is an improved SPH method with a higher-order accuracy. However, the numerical accuracy and stability of FPM depend on the uniformity of particles. Facing the disorder particles, the conventional FPM may suffer from an ill-conditioned corrective matrix and is difficult to conduct longtime simulations. A popular and robust particle regularization scheme is the so-called particle shifting technology (PST), which can effectively enhance the accuracy and stability of particle methods. In the context of FPM, PST is analyzed and discussed, and a modified PST (MPST) is proposed. Modified PST saves great amount of computational cost with respect to the conventional PST and acquires better features of accuracy and stability. Finally, the coupled FPM method by combining MPST and -SPH is developed to simulate a series of viscous flows. The numerical results indicate that MPST is effective in improving accuracy, stability, and efficiency of PST, and the coupled FPM is shown to be robust for simulating viscous flows and has a higher accuracy and stability.
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