Particle Flow Map

A Unified Fluid Simulation Method across Science and Graphics

This website collects our recent publications, project webpages, and code repositories themed on the Particle Flow Map method across computer graphics and computational physics.

PFM in Computer Graphics

lfm

Leapfrog Flow Maps for Real-Time Fluid Simulation

Yuchen Sun, Junlin Li, Ruicheng Wang, Sinan Wang, Zhiqi Li, Bart G. Van Bloemen Waanders, Bo Zhu
ACM Transactions on Graphics (SIGGRAPH 2025), Volume 44, Issue 4 (to appear)
compressible

Fluid Simulation on Compressible Flow Maps

Duowen Chen*, Zhiqi Li* (joint 1st authors), Taiyuan Zhang, Jinjin He, Junwei Zhou, Bart G van Bloemen Waanders, Bo Zhu
ACM Transactions on Graphics (SIGGRAPH 2025), Volume 44, Issue 4 (to appear)
cleb

Clebsch Gauge Fluid on Particle Flow Maps

Zhiqi Li, Candong Lin, Duowen Chen, Xinyi Zhou, Shiying Xiong, Bo Zhu
ACM Transactions on Graphics (SIGGRAPH 2025), Volume 44, Issue 4 (to appear)
edge

EDGE: Epsilon-Difference Gradient Evolution for Buffer-Free Flow Maps

Zhiqi Li*, Ruicheng Wang*, Junlin Li* (joint 1st authors), Duowen Chen, Sinan Wang, Bo Zhu
ACM Transactions on Graphics (SIGGRAPH 2025), Volume 44, Issue 4 (to appear)
edge

Cirrus: Adaptive Hybrid Particle-Grid Flow Maps on GPU

Mengdi Wang, Fan Feng, Junlin Li, Bo Zhu
ACM Transactions on Graphics (SIGGRAPH 2025), Volume 44, Issue 4 (to appear)
vpfm

Fluid Simulation on Vortex Particle Flow Maps

Sinan Wang, Junwei Zhou, Fan Feng, Zhiq i Li, Yuchen Sun, Duowen Chen, Greg Turk, Bo Zhu
ACM Transactions on Graphics (SIGGRAPH 2025), Volume 44, Issue 4 (to appear)
Publication 1

An Impulse Ghost Fluid Method for Simulating Two-Phase Flows

Yuchen Sun, Linglai Chen, Weiyuan Zeng, Tao Du, Shiying Xiong, and Bo Zhu
ACM Transactions on Graphics (SIGGRAPH Asia 2024), Volume 43, Issue 6
Publication 1

Particle-Laden Fluid on Flow Maps

Zhiqi Li, Duowen Chen, Candong Lin, Jinyuan Liu, and Bo Zhu
ACM Transactions on Graphics (SIGGRAPH Asia 2024), Volume 43, Issue 6 (Best Paper Award)
Publication 1

An Eulerian Vortex Method on Flow Maps

Sinan Wang, Yitong Deng, Molin Deng, Hong-Xing Yu, Junwei Zhou, Duowen Chen, Taku Komura, Jiajun Wu, and Bo Zhu
ACM Transactions on Graphics (SIGGRAPH Asia 2024), Volume 43, Issue 6
Publication 1

Solid-Fluid Interaction on Particle Flow Maps

Duowen Chen, Zhiqi Li, Junwei Zhou, Fan Feng, Tao Du, and Bo Zhu
ACM Transactions on Graphics (SIGGRAPH Asia 2024), Volume 43, Issue 6
Publication 1

Eulerian-Lagrangian Fluid Simulation on Particle Flow Maps

Junwei Zhou, Duowen Chen, Molin Deng, Yitong Deng, Yuchen Sun, Sinan Wang, Shiying Xiong, and Bo Zhu
ACM Transactions on Graphics (SIGGRAPH 2024), Volume 43, Issue 4
Publication 1

Lagrangian Covector Fluid with Free Surface

Zhiqi Li, Barnabás Börcsök, Duowen Chen, Yutong Sun, Bo Zhu, and Greg Turk
ACM SIGGRAPH 2024 (Conference Track)
Publication 1

Fluid Simulation on Neural Flow Maps

Yitong Deng, Hong-Xing Yu, Diyang Zhang, Jiajun Wu, and Bo Zhu
ACM Transactions on Graphics (SIGGRAPH Asia 2023), Volume 42, Issue 6 (Best Paper Award)

PFM in Computational Physics

As part of our ongoing efforts to extend the application scope of PFM from computer graphics to computational physics, we have launched several projects aimed at evaluating its numerical accuracy and convergence rate on standard benchmark tests in computational physics. These projects also include comparisons with other state-of-the-art computational fluid dynamics (CFD) methods such as PIC/FLIP, VIC, and Eulerian VIC. Here we present a collection of preliminary results, demonstrating the potential of PFM as a standard numerical tool capable of preserving vortical structures over long simulation horizons. We will continue updating this section with preprints to showcase our progress in bridging visual computing and scientific computing through the PFM framework.

Result 1
Energy conervation comparison between PFM and other methods
Result 2
Compressible flow simulation of bullets with different Mach number
Result 3
Time breakdown of real-time flow map method enables fast fluid simulation
Result 3
Vortex PFM (VPFM) methods show great numerical accuracy in the lid-driven flow test
Result 3
Lift and drag coefficient computed through PFM aligns with referenced literature
Result 3
Adaptive flow map methods simulate effective voxel throughput far exceeding other methods
Result 3
PFM computes cavity flow with a large variety of Re numbers, shows great alignment with rthe eferenced solution
Result 3
Vortex PFM (VPFM) method shows great alignment under high Re number flow with referenced solution