Application of IISPH for Incompressible Fluid Dynamics Simulation

Ostap Hrytsyshyn, Valeriy Trushevskyy

Анотація


Smoothed Particle Hydrodynamics (SPH) is widely used in graphics and engineering for simulating fluids, viscous materials, and deformable solids. This paper presents the development and application of the Implicit Incompressible Smoothed Particle Hydrodynamics (IISPH) algorithm for simulating incompressible fluid dynamics. The IISPH method offers an efficient solution for enforcing incompressibility by solving the pressure Poisson equation implicitly, making it well-suited for large-scale simulations. The paper outlines the governing equations of Smoothed Particle Hydrodynamics (SPH), explains the key components of the IISPH solver, and demonstrates its effectiveness through the classical Taylor-Green vortex test case. The results show that the algorithm achieves real-time performance even with high particle counts, while maintaining accuracy and stability. Furthermore, a detailed analysis is provided to compare the numerical results with the analytical solution, highlighting the influence of particle resolution on simulation fidelity. The performance of the solver is validated across different particle counts, demonstrating its robustness for handling complex fluid dynamics simulations in engineering and computer graphics applications.

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DOI: http://dx.doi.org/10.30970/vam.2024.33.12376

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