Browsing Mathematics (Faculty of) by Supervisor "Batty, Christopher"
Now showing items 1-8 of 8
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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 ... -
Animating Coupling between Inviscid Free-Surface Liquids and Elastic Deformable Bodies
(University of Waterloo, 2017-08-16)Driven by demand for high-fidelity computer-generated imagery, physics-based animation has become an exciting frontier of research in computer science. Simulations of fluids and their interactions with other objects in the ... -
Efficient Liquid Animation: New Discretizations for Spatially Adaptive Liquid Viscosity and Reduced-Model Two-Phase Bubbles and Inviscid Liquids
(University of Waterloo, 2021-04-16)The work presented in this thesis focuses on improving the computational efficiency when simulating viscous liquids and air bubbles immersed in liquids by designing new discretizations to focus computational effort in ... -
The Mimetic Approach to Incompressible Surface Tension Flows
(University of Waterloo, 2016-04-27)Water has many aesthetic properties that can have a strong impact on our perceptions. For instance, coffee can bring a feeling of liveliness, rain drops on a window may spark nostalgia, morning dew on a leaf can suggest ... -
Novel Paradigms in Physics-Based Animation: Pointwise Divergence-Free Fluid Advection and Mixed-Dimensional Elastic Object Simulation
(University of Waterloo, 2021-10-01)This thesis explores important but so far less studied aspects of physics-based animation: a simulation method for mixed-dimensional and/or non-manifold elastic objects, and a pointwise divergence-free velocity interpolation ... -
Signorini conditions for inviscid fluids
(University of Waterloo, 2021-06-28)In this thesis, we present a new type of boundary condition for the simulation of inviscid fluids – the Signorini boundary condition. The new condition models the non-sticky contact of a fluid with other fluids or solids. ... -
Simulation of the Ferrofluid Interface
(University of Waterloo, 2020-05-14)Ferrofluids were initially invented as an additive for rocket fuels. The commercial applications of ferrofluids have since expanded, and have become popularized as desktop toys as well as an art form. Since 1987, ferrofluid ... -
Variational Stokes with Polynomial Reduced Fluid Model
(University of Waterloo, 2021-01-21)Standard fluid simulators often apply operator splitting to independently solve for pressure and viscous stresses. This decoupling, however, induces incorrect free surface boundary conditions. Such methods are unable to ...