research-article

Power particles: an incompressible fluid solver based on power diagrams

Authors:

Fernando de Goes,

Corentin Wallez,

Mathieu DesbrunAuthors Info & Claims

ACM Transactions on Graphics (TOG), Volume 34, Issue 4

Article No.: 50, Pages 1 - 11

https://doi.org/10.1145/2766901

Published: 27 July 2015 Publication History

Abstract

This paper introduces a new particle-based approach to incompressible fluid simulation. We depart from previous Lagrangian methods by considering fluid particles no longer purely as material points, but also as volumetric parcels that partition the fluid domain. The fluid motion is described as a time series of well-shaped power diagrams (hence the name power particles), offering evenly spaced particles and accurate pressure computations. As a result, we circumvent the typical excess damping arising from kernel-based evaluations of internal forces or density without having recourse to auxiliary Eulerian grids. The versatility of our solver is demonstrated by the simulation of multiphase flows and free surfaces.

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Cited By

Numerow LLi YCoros SThomaszewski B(2024)Differentiable Voronoi Diagrams for Simulation of Cell-Based Mechanical SystemsACM Transactions on Graphics10.1145/365815243:4(1-11)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658152
Li ZBörcsök BChen DSun YZhu BTurk G(2024)Lagrangian Covector Fluid with Free SurfaceACM SIGGRAPH 2024 Conference Papers10.1145/3641519.3657514(1-10)Online publication date: 13-Jul-2024
https://dl.acm.org/doi/10.1145/3641519.3657514
Jain PQu ZChen PStein O(2024)Neural Monte Carlo Fluid SimulationACM SIGGRAPH 2024 Conference Papers10.1145/3641519.3657438(1-11)Online publication date: 13-Jul-2024
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Index Terms

Power particles: an incompressible fluid solver based on power diagrams
1. Computing methodologies
  1. Computer graphics
    1. Animation
      1. Physical simulation
    2. Shape modeling
2. Mathematics of computing
  1. Continuous mathematics
    1. Topology
      1. Geometric topology

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cover image ACM Transactions on Graphics

ACM Transactions on Graphics Volume 34, Issue 4

August 2015

1307 pages

ISSN:0730-0301

EISSN:1557-7368

DOI:10.1145/2809654

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Copyright © 2015 ACM.

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Published: 27 July 2015

Published in TOG Volume 34, Issue 4

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Cited By

Numerow LLi YCoros SThomaszewski B(2024)Differentiable Voronoi Diagrams for Simulation of Cell-Based Mechanical SystemsACM Transactions on Graphics10.1145/365815243:4(1-11)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658152
Li ZBörcsök BChen DSun YZhu BTurk G(2024)Lagrangian Covector Fluid with Free SurfaceACM SIGGRAPH 2024 Conference Papers10.1145/3641519.3657514(1-10)Online publication date: 13-Jul-2024
https://dl.acm.org/doi/10.1145/3641519.3657514
Jain PQu ZChen PStein O(2024)Neural Monte Carlo Fluid SimulationACM SIGGRAPH 2024 Conference Papers10.1145/3641519.3657438(1-11)Online publication date: 13-Jul-2024
https://dl.acm.org/doi/10.1145/3641519.3657438
Allevi EMartínez-Legaz JRiccardi R(2024)On the Basic Properties and the Structure of Power CellsJournal of Optimization Theory and Applications10.1007/s10957-024-02435-0203:2(1246-1262)Online publication date: 15-May-2024
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Carlier GDelalande AMérigot Q(2024)Quantitative Stability of the Pushforward Operation by an Optimal Transport MapFoundations of Computational Mathematics10.1007/s10208-024-09669-4Online publication date: 19-Jul-2024
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Panuelos JGoldade RGrinspun ELevin DBatty C(2023)PolyStokes: A Polynomial Model Reduction Method for Viscous Fluid SimulationACM Transactions on Graphics10.1145/359214642:4(1-13)Online publication date: 26-Jul-2023
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