Browsing Mathematics (Faculty of) by Subject "physical simulation"
Now showing items 1-7 of 7
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An adaptive variational finite difference framework for efficient symmetric octree viscosity
(ACM, 2019-07)While pressure forces are often the bottleneck in (near-)inviscid fluid simulations, viscosity can impose orders of magnitude greater computational costs at lower Reynolds numbers. We propose an implicit octree finite ... -
An Affine Semi-Lagrangian Advection Method
(University of Waterloo, 2019-01-08)In computer graphics, the standard semi-Lagrangian advection as in the work of Stam (1999) is a widespread unconditionally stable transport scheme used in incompressible fluid solvers. Due to its stability, which disconnects ... -
Deformation-Driven Element Packing
(University of Waterloo, 2020-12-11)A packing is an arrangement of geometric elements within a container region in the plane. Elements are united to communicate the overall container shape, but each is large enough to be appreciated individually. Creating a ... -
An Efficient Geometric Multigrid Solver for Viscous Liquids
(ACM, 2019-07)We present an efficient geometric Multigrid solver for simulating viscous liquids based on the variational approach of Batty and Bridson [2008]. Although the governing equations for viscosity are elliptic, the strong ... -
Fast and Scalable Solvers for the Fluid Pressure Equations with Separating Solid Boundary Conditions
(Wiley, 2020-05)In this paper, we propose and evaluate fast, scalable approaches for solving the linear complementarity problems (LCP) arising from the fluid pressure equations with separating solid boundary conditions. Specifically, we ... -
A multi-scale model for coupling strands with shear-dependent liquid
(ACM, 2019-11)We propose a framework for simulating the complex dynamics of strands interacting with compressible, shear-dependent liquids, such as oil paint, mud, cream, melted chocolate, and pasta sauce. Our framework contains three ... -
A practical octree liquid simulator with adaptive surface resolution
(Association for Computing Machinery, 2020-07)We propose a new adaptive liquid simulation framework that achieves highly detailed behavior with reduced implementation complexity. Prior work has shown that spatially adaptive grids are efficient for simulating large-scale ...