Fast algorithms for computer simulation of spherical particles under ElectroHydroDynamics(EHD) interactions

Varies complex systems in nature, such as colloidal suspensions, membranes and electrolytes, can be modeled 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, we will introduce coarse-grained models for such systems, and then describe fast spectral methods combining analytical reduction and efficient numerical techniques based on the Fast Spherical Harmonic and Fast Fourier Transforms and also Chebyshev polynomials, that can compute electrostatic and hydrodynamic interactions in linear time in the number of particles. We will also present some applications of our approach in the simulations of colloidal self-assembly.