2025-01-06 カリフォルニア大学サンディエゴ校
The computer vision simulation the researchers developed, compared with a photo from the explosion of Mt. St. Helens.
＜関連情報＞
- https://today.ucsd.edu/story/this-new-advanced-method-produces-highly-realistic-simulations-of-fluid-dynamics
- https://dl.acm.org/doi/10.1145/3687970
流体暗黙微粒子の共役軌道について Fluid Implicit Particles on Coadjoint Orbits
Mohammad Sina Nabizadeh, Ritoban Roy-Chowdhury, Hang Yin, Ravi Ramamoorthi, Albert Chern
ACM Transactions on Graphics Published: 19 November 2024
DOI:https://doi.org/10.1145/3687970
Abstract
We propose Coadjoint Orbit FLIP (CO-FLIP), a high order accurate, structure preserving fluid simulation method in the hybrid Eulerian-Lagrangian framework. We start with a Hamiltonian formulation of the incompressible Euler Equations, and then, using a local, explicit, and high order divergence free interpolation, construct a modified Hamiltonian system that governs our discrete Euler flow. The resulting discretization, when paired with a geometric time integration scheme, is energy and circulation preserving (formally the flow evolves on a coadjoint orbit) and is similar to the Fluid Implicit Particle (FLIP) method. CO-FLIP enjoys multiple additional properties including that the pressure projection is exact in the weak sense, and the particle-to-grid transfer is an exact inverse of the grid-to-particle interpolation. The method is demonstrated numerically with outstanding stability, energy, and Casimir preservation. We show that the method produces benchmarks and turbulent visual effects even at low grid resolutions.
