Varies complex systems in nature, such as colloids, membranes and biomolecules, can be modelled as particles under ElectroHydroDynamics (EHD) interactions. It is important to understand the collective dynamics of such many-body systems. However, efficient particle-based simulations are very challenging because these systems tend to be highly dynamic, non-linear, multi-scale and long-range correlated.
In this talk, I will introduce coarse-grained models for simulating such systems, and then describe fast spectral methods combining analytical reduction and efficient numerical techniques based on the Fast Multipole Method (FMM) and FFTs, that can compute electrostatic and hydrodynamic interactions in linear time in the number of particles. I will also present some applications of our approach in the simulations of colloidal self-assembly.
Dr. Zecheng Gan’s research focuses on the development of efficient and accurate numerical methods for electrostatics and hydrodynamics interactions, with applications in the modeling and simulation of complex fluids at mesoscopic scales, e.g. colloidal suspensions, electrolytes, biomolecules, etc.
Dr. Gan is now a postdoc associate at Courant Institute, NYU. Prior to that, he was a postdoc assistant professor at University of Michigan (Ann Arbor) from 2016 to 2019. He received my PhD in applied and computational mathematics in 2016 from Shanghai Jiao Tong University.
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