Project 1: Liquid Simulation
• Our research on liquid simulation has discovered several analytical reductions of the Navier-Stokes equations. Some highlights are a stream-function representations of bubbles and liquids (publications [4], [7], and [8]), analytical solutions of linear water wave theory (publications [9], [14], [16], [17], and [21]), and dimension-reduction approaches (publications [10], [11] and [19]).
• In total, the following publications resulted from this project: [1], [4], [7], [8], [9], [10], [11], [14], [16], [17], [18], [19], [21], [22], and [24].
Project 2: Fracture Simulation
• Our fracture simulation research generated two top-tier research publications based on analytical crack propagation and boundary elements (publications [2] and [6]).
• One PhD student based his dissertation on this topic and graduated in 2017 (publication [12]).
• Another group member simulated the shattering of complex fibrous assemblies by focusing on the break-up of anisotropic materials.
• In total, the following publications resulted from this project: [2], [6], [12], [20]
Project 3: Space-Time Manipulation
• Our research on blending liquids in space-time led to a publication focusing on interactive liquid simulation sculpting (publication [15]).
• In total, the following publication resulted from this project: [15]
Project 4: Efficient Re-Simulation
• Our research on non-reflecting boundary conditions using perfectly-matched layers resulted in the invention of a novel method for efficiently and locally re-simulating liquids (publication [3]).
• One PhD student based his dissertation on this topic and graduated in 2016 (publication [13]).
• Our research on numerical homogenization led to a top-tier publication based on the efficient re-simulation of fibrous materials like women and knitted cloth [23]
• In total, the following publications resulted from this project: [3],[13],[23]
Many of the publications resulting from this funding are at the top venue in the field, ACM SIGGRAPH.
