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Volume 11
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10.3390/w11051110
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Article

Application Research of an Efficient and Stable Boundary Processing Method for the SPH Method

by
Xing Huang
1,
Wu Chen
1,*,
Zhe Hu
1,
Xing Zheng
2,
Shanqin Jin
2 and
Xiaoying Zhang
1
1
School of Marine Engineering, Jimei University, Xiamen 361021, China
2
College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China
*
Author to whom correspondence should be addressed.
Water 2019, 11(5), 1110; https://doi.org/10.3390/w11051110
Submission received: 25 April 2019 / Revised: 20 May 2019 / Accepted: 22 May 2019 / Published: 27 May 2019
(This article belongs to the Section Hydraulics and Hydrodynamics)
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Abstract

The boundary truncation of the kernel function affects the numerical accuracy and calculation stability of the smooth particle hydrodynamics (SPH) method and has been one of the key research fields for this method. In this paper, an efficient and stable boundary processing method for the SPH method was introduced by adopting an improved boundary interpolation method (i.e., the improved Shepard method) which needs only the sum of direct accumulation for fixed-boundary particles to improve the numerical stability and computational efficiency of the fixed ghost particle method. The improvement effect of the method was demonstrated by comparing it with different interpolation methods using the cases of still water, a wave generated by dam-breaking, and a solitary wave attacking problem with fixed walls and a moveable wall. The results showed that the new boundary processing method for SPH can help remarkably improve the efficiency of calculation and reduce the oscillations of pressure when simulating various flows.
Keywords: SPH; improved Shepard method; fixed ghost boundary method; wave impact SPH; improved Shepard method; fixed ghost boundary method; wave impact

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MDPI and ACS Style

Huang, X.; Chen, W.; Hu, Z.; Zheng, X.; Jin, S.; Zhang, X. Application Research of an Efficient and Stable Boundary Processing Method for the SPH Method. Water 2019, 11, 1110. https://doi.org/10.3390/w11051110

AMA Style

Huang X, Chen W, Hu Z, Zheng X, Jin S, Zhang X. Application Research of an Efficient and Stable Boundary Processing Method for the SPH Method. Water. 2019; 11(5):1110. https://doi.org/10.3390/w11051110

Chicago/Turabian Style

Huang, Xing, Wu Chen, Zhe Hu, Xing Zheng, Shanqin Jin, and Xiaoying Zhang. 2019. "Application Research of an Efficient and Stable Boundary Processing Method for the SPH Method" Water 11, no. 5: 1110. https://doi.org/10.3390/w11051110

APA Style

Huang, X., Chen, W., Hu, Z., Zheng, X., Jin, S., & Zhang, X. (2019). Application Research of an Efficient and Stable Boundary Processing Method for the SPH Method. Water, 11(5), 1110. https://doi.org/10.3390/w11051110

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