A5101417712- Computer Graphics and Visualization Techniques
- 3D Shape Modeling and Analysis
- Advanced Numerical Analysis Techniques
- Fluid Dynamics and Turbulent Flows
- Lattice Boltzmann Simulation Studies
University of California, San Diego
2023-2024
The vorticity-streamfunction formulation for incompressible inviscid fluids is the basis many fluid simulation methods in computer graphics, including vortex methods, streamfunction solvers, spectral and Monte Carlo methods. We point out that current setups are insufficient at simulating on general non-simply-connected domains. This issue critical practice, as obstacles, periodic boundaries, nonzero genus can all make domain multiply connected. These scenarios introduce nontrivial cohomology...
We propose Coadjoint Orbit FLIP (CO-FLIP), a high order accurate, structure preserving fluid simulation method in the hybrid Eulerian-Lagrangian framework. start with Hamiltonian formulation of incompressible Euler Equations, and then, using local, explicit, divergence free interpolation, construct modified system that governs our discrete flow. The resulting discretization, when paired geometric time integration scheme, is energy circulation (formally flow evolves on coadjoint orbit)...