7 papers
A Few-Step Generative Model on Cumulative Flow Maps
Zhiqi Li, Duowen Chen, Yuchen Sun +1
We propose a unified, few-step generative modeling framework based on \emph{cumulative flow maps} for long-range transport in probability space, inspired by flow-map techniques for…
Penetration-free Solid-Fluid Interaction on Shells and Rods
Yuchen Sun, Jinyuan Liu, Yin Yang +3
We introduce a novel approach to simulate the interaction between fluids and thin elastic solids without any penetration. Our approach is centered around an optimization system aug…
Matrix-Free Multigrid with Algebraically Consistent Coarsening on Adaptive Octrees
Mengdi Wang, Yuchen Sun, Bo Zhu
We present a matrix-free GPU multigrid preconditioner with algebraically consistent coarsening for solving Poisson equations on adaptive octree grids with irregular domains. Within…
Trajectory Consistency for One-Step Generation on Euler Mean Flows
Zhiqi Li, Yuchen Sun, Duowen Chen +2
We propose \emph{Euler Mean Flows (EMF)}, a flow-based generative framework for one-step and few-step generation that enforces long-range trajectory consistency with minimal sampli…
An Impulse-formed Navier-Stokes Solver based on Long-range Particle Flow Maps
Zhiqi Li, Duowen Chen, Junwei Zhou +3
We present a particle-grid characteristic-mapping framework that extends long-range characteristic mapping from inviscid flows to general Navier-Stokes dynamics with viscosity, bod…
Functional Mean Flow in Hilbert Space
Zhiqi Li, Yuchen Sun, Greg Turk +1
We present Functional Mean Flow (FMF) as a one-step generative model defined in infinite-dimensional Hilbert space. FMF extends the one-step Mean Flow framework to functional domai…