research-article

Implicit Surface Tension for SPH Fluid Simulation

Authors:

Stefan Rhys Jeske,

Lukas Westhofen,

Fabian Löschner,

José Antonio Fernández-fernández,

Jan BenderAuthors Info & Claims

ACM Transactions on Graphics, Volume 43, Issue 1

Article No.: 13, Pages 1 - 14

https://doi.org/10.1145/3631936

Published: 30 November 2023 Publication History

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Abstract

The numerical simulation of surface tension is an active area of research in many different fields of application and has been attempted using a wide range of methods. Our contribution is the derivation and implementation of an implicit cohesion force based approach for the simulation of surface tension effects using the Smoothed Particle Hydrodynamics (SPH) method. We define a continuous formulation inspired by the properties of surface tension at the molecular scale which is spatially discretized using SPH. An adapted variant of the linearized backward Euler method is used for time discretization, which we also strongly couple with an implicit viscosity model. Finally, we extend our formulation with adhesion forces for interfaces with rigid objects.

Existing SPH approaches for surface tension in computer graphics are mostly based on explicit time integration, thereby lacking in stability for challenging settings. We compare our implicit surface tension method to these approaches and further evaluate our model on a wider variety of complex scenarios, showcasing its efficacy and versatility. Among others, these include but are not limited to simulations of a water crown, a dripping faucet, and a droplet toy.

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The code for the paper is already implemented in this framework. The instructions for replication can be found in the markdown file https://github.com/InteractiveComputerGraphics/SPlisHSPlasH/blob/master/doc/replicability.md or on ReadTheDocs https://splishsplash.readthedocs.io/en/latest/replicability.html. The replicated results are in form of binary data files that can be rendered to produce the final image. To do so, the software either has to be compiled, or a precompiled Python package has to be downloaded.

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Supplemental video for "Implicit Surface Tension for SPH Fluid Simulation"

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References

[1]

Mridul Aanjaneya, Saket Patkar, and Ronald Fedkiw. 2013. A monolithic mass tracking formulation for bubbles in incompressible flow. Journal of Computational Physics 247 (Aug. 2013), 17–61.

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Versatile surface tension and adhesion for SPH fluids

A novel surface tension formulation for SPH fluid simulation

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