Type
ArticleAuthors
Zhu, XingyuSun, Shuyu

Kou, Jisheng
KAUST Department
Computational Transport Phenomena LabEarth Science and Engineering
Earth Science and Engineering Program
Physical Science and Engineering (PSE) Division
KAUST Grant Number
BAS/1/1351-01URF/1/3769-01
URF/1/4074-01
Date
2022-06Permanent link to this record
http://hdl.handle.net/10754/679125
Metadata
Show full item recordAbstract
In this paper, a novel unconditionally energy stable Smoothed Particle Hydrodynamics (SPH) method is proposed and implemented for incompressible fluid flows. In this method, we apply operator splitting to break the momentum equation into equations involving the non-pressure term and pressure term separately. The idea behind the splitting is to simplify the calculation while still maintaining energy stability, and the resulted algorithm, a type of improved pressure correction scheme, is both efficient and energy stable. We show in detail that energy stability is preserved at each full-time step, ensuring unconditionally numerical stability. Numerical examples are presented and compared to the analytical solutions, suggesting that the proposed method has better accuracy and stability. Moreover, we observe that if we are interested in steady-state solutions only, our method has good performance as it can achieve the steady-state solutions rapidly and accurately.Citation
Zhu, X., null, S. S., & Kou, J. (2022). An Energy Stable SPH Method for Incompressible Fluid Flow. Advances in Applied Mathematics and Mechanics, 14(5), 1201–1224. https://doi.org/10.4208/aamm.oa-2021-0231Sponsors
This work is partially supported by King Abdullah University of Science and Technology (KAUST) through the grants BAS/1/1351-01, URF/1/4074-01, and URF/1/3769-01Publisher
Global Science PressAdditional Links
http://global-sci.org/intro/article_detail/aamm/20558.htmlae974a485f413a2113503eed53cd6c53
10.4208/aamm.OA-2021-0231