SCA 2020: Showcases

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Fast Eulerian Fluid Simulation In Games Using Poisson Filters
(The Eurographics Association, 2020) Rabbani, Amir H.; Khiat, Soufiane; Holden, Daniel
We present separable Poisson filters to accelerate the projection step in Eulerian fluid simulation. These filters are analytically computed offline and are easy to integrate into any fluid algorithm with a Poisson pressure computation step. We take advantage of the recursive structure of the Jacobi method to construct and then reduce a kernel that is used to solve the Poisson pressure entirely on GPU. Our method demonstrates promising speedups that scale well with both the grid resolution and the target Jacobi iteration.
Negative Jacobian Free Simulations Using Principal Stretches
(The Eurographics Association, 2020) Francu, Mihail; Holden, Daniel
Finite element (FE) simulations are prone to encountering negative Jacobians during the solving process. If nothing is done, the simulation can be brought to a halt, result in inverted elements or have undetermined behavior. We propose a solution that uses principal stretches as slack variables in a constrained minimization formulation and enforce them to always be positive. We show that our approach can never hit inverted configurations, thus being suitable for applications where inversion cannot be tolerated. We implement the method in 2D and show that it outperforms standard FE methods in stressful scenarios.