PhD Seminar • Computer Graphics | Scientific Computing — Constraint Bubbles and Affine Regions: Reduced Fluid Models for Efficient Immersed Bubbles and Flexible Spatial Coarsening

Thursday, March 5, 2020 2:30 pm - 2:30 pm EST (GMT -05:00)

Ryan Goldade, PhD candidate
David R. Cheriton School of Computer Science

We present a novel approach for simulating bubbles entrained in liquid with a suite of reduced models that eliminate simulation degrees of freedom in the bubble interior. Our constraint model replaces the pressure field in low density bubbles with just a single Lagrange multiplier. For bubbles with higher densities, we model a bubble’s momentum with an affine velocity field, needing only 11 degrees of freedom per bubble. Both methods lead to a significant degree-of-freedom reduction for linear solvers and still capture realistic bubble motion. Finally, we extend our affine velocity model to liquid-only simulations as a novel adaptive solution to accelerate standard fluid simulations.