Monte Carlo Vortical Smoothed Particle Hydrodynamics for Simulating Turbulent Flows
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Date
2024
Journal Title
Journal ISSN
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Publisher
The Eurographics Association and John Wiley & Sons Ltd.
Abstract
For vortex particle methods relying on SPH-based simulations, the direct approach of iterating all fluid particles to capture velocity from vorticity can lead to a significant computational overhead during the Biot-Savart summation process. To address this challenge, we present a Monte Carlo vortical smoothed particle hydrodynamics (MCVSPH) method for efficiently simulating turbulent flows within an SPH framework. Our approach harnesses a Monte Carlo estimator and operates exclusively within a pre-sampled particle subset, thus eliminating the need for costly global iterations over all fluid particles. Our algorithm is decoupled from various projection loops which enforce incompressibility, independently handles the recovery of turbulent details, and seamlessly integrates with state-of-the-art SPH-based incompressibility solvers. Our approach rectifies the velocity of all fluid particles based on vorticity loss to respect the evolution of vorticity, effectively enforcing vortex motions. We demonstrate, by several experiments, that our MCVSPH method effectively preserves vorticity and creates visually prominent vortical motions.
Description
CCS Concepts: Computing methodologies -> Physical simulation
@article{10.1111:cgf.15024,
journal = {Computer Graphics Forum},
title = {{Monte Carlo Vortical Smoothed Particle Hydrodynamics for Simulating Turbulent Flows}},
author = {Ye, Xingyu and Wang, Xiaokun and Xu, Yanrui and Kosinka, Jiri and Telea, Alexandru C. and You, Lihua and Zhang, Jian Jun and Chang, Jian},
year = {2024},
publisher = {The Eurographics Association and John Wiley & Sons Ltd.},
ISSN = {1467-8659},
DOI = {10.1111/cgf.15024}
}