Fast Method for Liquid Crystal Cell Spatial Variations Estimation Based on Modeling the Spectral Transmission

Fast Q-tensor method for modeling the dynamics of defects in a liquid crystal director field.

A fast Q-tensor method, which can model the defect dynamics in a liquid crystal director field, is presented. Conceptually based on the Oseen-Frank approach, we have added temperature energy density terms in addition to the strain energy terms, and an improved normalization method for fast calculations. The method is more compact and allows a larger time step than previous methods. The method i...

Fast Q-Tensor Method for Modeling Liquid Crystal Director Configurations with Defects

A Fast Immersed Boundary Fourier Pseudo-spectral Method for Simulation of the Incompressible Flows

Abstract   The present paper is devoted to implementation of the immersed boundary technique into the Fourier pseudo-spectral solution of the vorticity-velocity formulation of the two-dimensional incompressible Navier-Stokes equations. The immersed boundary conditions are implemented via direct modification of the convection and diffusion terms, and therefore, in contrast to some other similar ...

Fast Defuzzification Method Based on Centroid Estimation

A new fast defuzzification method is presented. It is based on estimating the centroid position by fitting the fuzzy output shape into one single triangle. In regard to the computational time, this method is comparable to the “Bisector” method and provides better dynamical behavior. This new method was tested to control a second order plant and a benchmark Continuous Stirred Tank Reactor (CSTR).

A Preconditioned Nullspace Method for Liquid Crystal Director Modeling

We present a preconditioned nullspace method for the numerical solution of large sparse linear systems that arise from discretizations of continuum models for the orientational properties of liquid crystals. The approach effectively deals with pointwise unit-vector constraints, which are prevalent in such models. The indefinite, saddle-point nature of such problems, which can arise from either ...