An Energy Stable SPH Method for Incompressible Fluid Flow

DOI10.4208/aamm.OA-2021-0231OpenAlexW4282551910MaRDI QIDQ5096121

Shuyu Sun, Xingyu Zhu, Jisheng Kou

Publication date: 12 August 2022

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aamm.oa-2021-0231

zbMATH Keywords

numerical stabilityparticle methodenergy stabilityincompressible fluid flowsmoothed particle hydrodynamics (SPH) method

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items (2)

An energy stable incompressible SPH method with consistent solid boundary treatment ⋮ An energy-stable smoothed particle hydrodynamics discretization of the Navier-Stokes-Cahn-Hilliard model for incompressible two-phase flows

Uses Software

• NDSPMHD

Cites Work

• Smoothed particle hydrodynamics and magnetohydrodynamics
• Accuracy and stability in incompressible SPH (ISPH) based on the projection method and a new approach
• Smoothed particle hydrodynamics (SPH): an overview and recent developments
• An SPH projection method
• SHP simulation of multi-phase flow
• Numerical simulation of interfacial flows by smoothed particle hydrodynamics
• Energy balance in the \(\delta\)-SPH scheme
• Incompressible smoothed particle hydrodynamics
• Smoothed Particle Hydrodynamics and Its Diverse Applications
• Theory and Applications of Smoothed Particle Hydrodynamics

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