Modeling and Simulation Group Meeting Old
Numerical methods for doubly-periodic electrostatics and Stokes flow
Speaker: Ondrej Maxian, Zecheng Gan, Partner: Aleksandar Donev, CIMS
Location: Warren Weaver Hall 1314
Date: Thursday, October 22, 2020, 12:30 p.m.
Donev will give a brief intro and conclusions as a "partner". Lipid bilayer membranes, thin liquid crystal films, confined electrolytes, and colloidal monolayers on fluid-fluid interfaces or sedimented above a bottom wall, are all effectively quasi two-dimensional, periodic in two out of the three spatial directions, and open or confined in the third direction -- a doubly periodic geometry. We describe numerical techniques based on the Fast Fourier Transform (FFT) and Chebyshev polynomials that can compute electrostatic and hydrodynamic interactions in doubly-periodic geometries in linear time in the number of particles.