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Preserving geometry and topology for fluid flows with thin obstacles and narrow gaps

Vinicius C. Azevedo, Christopher Batty, Manuel M. Oliveira
2016 ACM Transactions on Graphics  
For advection, we exploit polyhedral interpolation to improve the degree to which the flow conforms to irregular and possibly non-convex cell boundaries, and propose a modified PIC/FLIP advection scheme  ...  Rotating Paddle: 23 × 10 × 6 grid Hollow Dragon: 11 × 9 × 6 grid Linked Tori: 7 × 7 × 7 grid Figure 1 : Our geometry-and topology-aware boundary treatment supports simulating smooth flows in the presence  ...  We observe that with an appropriate PIC/FLIP implementation, this issue does not arise.  ... 
doi:10.1145/2897824.2925919 fatcat:xsscfvzoijaoznirkocsgt5agq


Michael Tao, Christopher Batty, Mirela Ben-Chen, Eugene Fiume, David I. W. Levin
2022 ACM Transactions on Graphics  
The comprehensive visual modeling of fluid motion has historically been a challenging task, due in no small part to the difficulties inherent in geometries that are non-manifold, open, or thin.  ...  Our key technical contribution is the generalization of the Particle-In-Cell fluid simulation methodology to arbitrary polyhedra using VEM.  ...  While we observed variations in the rate of CG convergence for complex cut-cells, in practice we found our method to be stable for CFL numbers around 1, in line with comparable PIC/FLIP solvers.  ... 
doi:10.1145/3528223.3530138 fatcat:eiscrzsosrbk7ft6wehugwh2hi