Highly adaptive liquid simulations on tetrahedral meshes Journal Article

Author(s): Ando, Ryoichi; Thuerey, Nils; Wojtan, Chris
Article Title: Highly adaptive liquid simulations on tetrahedral meshes
Affiliation IST Austria
Abstract: We introduce a new method for efficiently simulating liquid with extreme amounts of spatial adaptivity. Our method combines several key components to drastically speed up the simulation of large-scale fluid phenomena: We leverage an alternative Eulerian tetrahedral mesh discretization to significantly reduce the complexity of the pressure solve while increasing the robustness with respect to element quality and removing the possibility of locking. Next, we enable subtle free-surface phenomena by deriving novel second-order boundary conditions consistent with our discretization. We couple this discretization with a spatially adaptive Fluid-Implicit Particle (FLIP) method, enabling efficient, robust, minimally-dissipative simulations that can undergo sharp changes in spatial resolution while minimizing artifacts. Along the way, we provide a new method for generating a smooth and detailed surface from a set of particles with variable sizes. Finally, we explore several new sizing functions for determining spatially adaptive simulation resolutions, and we show how to couple them to our simulator. We combine each of these elements to produce a simulation algorithm that is capable of creating animations at high maximum resolutions while avoiding common pitfalls like inaccurate boundary conditions and inefficient computation.
Keywords: fluid simulation; adaptivity; tetrahedral discretization
Journal Title: ACM Transactions on Graphics
Volume: 32
Issue 4
ISSN: 1557-7368
Publisher: ACM  
Date Published: 2013-07-01
Start Page: Article number: 103
Sponsor: This work was supported by the Japan Society for the Promotion of Science (JSPS).
DOI: 10.1145/2461912.2461982
Notes: We would like to thank the anonymous reviewers for their helpful feedback. We also wish to thank Reiji Tsuruno for providing us with computational resources, and Pascal Clausen as well as Ramprasad Sampath for constructive discussions.
Open access: yes (repository)
IST Austria Authors
  1. Chris Wojtan
    34 Wojtan
  2. Ryoichi Ando
    5 Ando