Research Projects

Micropolar APIC Method for Turbulent Fluid
Xingjian Han, Chenfanfu Jiang


Our project aims to simulate Turbulent Fluid with Micropolar model based on APIC transfer, creating a more animated and energetic rotational flow. Classical fluid simulations are lack of vorticity details, while micropolar provides a microstructure to contain more rotational information of the particles, thus provides a more thorough transfer to ensure a realistic result. Micropolar fluids are fluids with microstructure. Its model is a generation of the classical Navier-Stokes formulation. In addition to the linear velocity field, micropolar fluids also have a field of microrotation that represents and provides the existing and new vortices respectively. Therefore, compare to the traditional fluid simulation, it considers the rotational motion of the fluid particles, provides more turbulent details and eventually leads to a more realistic results. This idea was applied in A Micropolar Material Model for SPH fluid. However, due to its concept, classical SPH formulations suffer from tensile instabilities and lack of consistency. Therefore, the hybrid Lagrangian-Eulerian simulation, such as APIC, will provide a more authentic result. Thus, we would like to further develop the micropolar model onto APIC fluid simulation to realize a more vivid turbulent fluid simulation.
APIC Implentation

Chenfanfu Jiang, Craig Schroeder, Andrew Selle, Joseph Teran, and Alexey Stomakhin. 2015. The affine particle-in-cell method. ACM Trans. Graph. 34, 4, Article 51 (July 2015), 10 pages.
Xinxin Zhang, Robert Bridson, and Chen Greif. Restoring the missing vorticity in advection-projection fluid solvers. ACM Trans. Graph. 34, 4 (July 2015).

Figure: Comparison among Semi-lagrangian, APIC, and FLIP methods in smoke simulation.