A Semi-Implicit SPH Method for Compressible and Incompressible Flows with Improved Convergence

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dc.contributor.authorHe, Xiaoweien_US
dc.contributor.authorLiu, Shusenen_US
dc.contributor.authorGuo, Yuzhongen_US
dc.contributor.authorShi, Jianen_US
dc.contributor.authorQiao, Yingen_US
dc.contributor.editorBousseau, Adrienen_US
dc.contributor.editorDay, Angelaen_US
dc.date.accessioned2025-05-09T09:13:03Z
dc.date.available2025-05-09T09:13:03Z
dc.date.issued2025
dc.description.abstractIn simulating fluids using position-based dynamics, the accuracy and robustness depend on numerous numerical parameters, including the time step size, iteration count, and particle size, among others. This complexity can lead to unpredictable control of simulation behaviors. In this paper, we first reformulate the problem of enforcing fluid compressibility/incompressibility into an nonlinear optimization problem, and then introduce a semi-implicit successive substitution method (SISSM) to solve the nonlinear optimization problem by adjusting particle positions in parallel. In contrast to calculating an intermediate variable, such as pressure, to enforce fluid incompressibility within the position-based dynamics (PBD) framework, the proposed semiimplicit approach eliminates the necessity of such calculations. Instead, it directly employs successive substitution of particle positions to correct density errors. This method exhibits reduced dependency to numerical parameters, such as particle size and time step variations, and improves consistency and stability in simulating fluids that range from highly compressible to nearly incompressible. We validates the effectiveness of applying a variety of different techniques in accelerating the convergence rate.en_US
dc.description.number2
dc.description.sectionheadersSimulating Complex Systems: Turbulent, Crowded, and Shattered
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume44
dc.identifier.doi10.1111/cgf.70043
dc.identifier.issn1467-8659
dc.identifier.pages11 pages
dc.identifier.urihttps://doi.org/10.1111/cgf.70043
dc.identifier.urihttps://diglib.eg.org/handle/10.1111/cgf70043
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.rightsAttribution 4.0 International License
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectCCS Concepts: Computing methodologies → Physical simulation
dc.subjectComputing methodologies → Physical simulation
dc.titleA Semi-Implicit SPH Method for Compressible and Incompressible Flows with Improved Convergenceen_US
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