GAMES Webinar 2021 – 212期(模拟专题) | Shiying Xiong (Dartmouth College)，Mengdi Wang (Dartmouth College)
【GAMES Webinar 2021-212期】(模拟专题)
报告嘉宾1：Shiying Xiong (Dartmouth College)
报告题目：Incompressible fluid simulation based on vortex surface field
We propose a fluid solver based on vortex surface field (VSF), whose isosurface is a vortex surface consisting of vortex lines, to solve incompressible fluid equations. Our method inherits the expressive power of VSF to characterize multiscale vortex structures and track continuous Lagrangian fluid dynamics. By solving a transformed Clebsch function as the system’s evolving variable, our method can significantly improve the vorticity generation and preservation ability for a broad range of gaseous and liquid phenomena. Our approach can be easily implemented by modifying a standard grid-based fluid simulator. It can be used to solve various fluid dynamics, including complex vortex filament dynamics, fluids with different obstacles, and surface-tension flows.
Shiying Xiong is a Postdoctoral Researcher working with Prof. Bo Zhu in the VCL Lab at Dartmouth College. He received a Ph.D. degree in fluid mechanics at Peking University in 2019, advised by Prof. Yue Yang. Before starting his Ph.D., he obtained a Bachelor’s degree in Physics at Jilin University in 2014. His research interests include Hamiltonian Fluid Mechanics, Vortex Dynamics, Computational Physics, and Scientific Machine Learning.
报告嘉宾2：Mengdi Wang(Dartmouth College)
报告题目：Thin-Film Smoothed Particle Hydrodynamics Fluid
We propose a particle-based method to simulate thin-film fluid that jointly facilitates aggressive surface deformation and vigorous tangential flows. We build our dynamics model from the surface tension driven Navier-Stokes equation with the dimensionality reduced using the asymptotic lubrication theory and customize a set of differential operators based on the weakly compressible Smoothed Particle Hydrodynamics (SPH) for evolving pointset surfaces. The key insight is that the compressible nature of SPH, which is unfavorable in its typical usage, is helpful in our application to co-evolve the thickness, calculate the surface tension, and enforce the fluid incompressibility on a thin film. In this way, we are able to two-way couple the surface deformation with the in-plane flows in a physically based manner. We can simulate complex vortical swirls, fingering effects due to Rayleigh-Taylor instability, capillary waves, Newton’s interference fringes, and the Marangoni effect on liberally deforming surfaces by presenting both realistic visual results and numerical validations. The particle-based nature of our system also enables it to conveniently handle topology changes and codimension transitions, allowing us to marry the thin-film simulation with a wide gamut of 3D phenomena, such as pinch-off of unstable catenoids, dripping under gravity, merging of droplets, as well as bubble rupture.
Mengdi Wang is a first-year PhD student at Dartmouth College, advised by Prof. Bo Zhu. Before coming to Dartmouth, he received his Bachelor degree of Computer Science at Peking University in 2020, advised by Prof. Baoquan Chen. His research focus in recreating fascinating fluid dynamics on complex geometries by the combination of fluid simulation and geometry algorithms.
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