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    An Energy Stable SPH Method for Incompressible Fluid Flow

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    Type
    Article
    Authors
    Zhu, Xingyu
    Sun, Shuyu cc
    Kou, Jisheng
    KAUST Department
    Computational Transport Phenomena Lab
    Earth Science and Engineering
    Earth Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    KAUST Grant Number
    BAS/1/1351-01
    URF/1/3769-01
    URF/1/4074-01
    Date
    2022-06
    Permanent link to this record
    http://hdl.handle.net/10754/679125
    
    Metadata
    Show full item record
    Abstract
    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-2021-0231
    Sponsors
    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/1/3769-01
    Publisher
    Global Science Press
    Journal
    ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
    DOI
    10.4208/aamm.OA-2021-0231
    Additional Links
    http://global-sci.org/intro/article_detail/aamm/20558.html
    ae974a485f413a2113503eed53cd6c53
    10.4208/aamm.OA-2021-0231
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program; Computational Transport Phenomena Lab

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