Homepage of the

Defect Free Q-Tensor Approximation CodeFrom this web site you can download a Matlab code that implements the Defect Free Q-Tensor Approximation to find the alignment of a single-elastic constant nematic liquid crystal in a planar cell.

This slides give you an outline of the method.

A complete description of the algorithm is available in

K.R. Daly, G. D'Alessandro and M. Kaczmarekthat you can download from here.

An efficient Q-tensor based algorithm for liquid crystal alignment away from defects

SIAM Journal on Applied Mathematics70(8), 2844-2860 (2010)

DOI: 10.1137/100796467

From the link below you can download a Matlab code that implements the DFQTA. The code is self-contained and will produce Figure 4 of this paper. You are welcome to use this code, but

please include a referenceto the paper above in any work where you use results produced by it.

Author:Keith Daly ( krd103@soton.ac.uk) Dates:

29 June 2010 (Version 1.0) Source:Q3D_PD_ver01.zip Installation:Download Q3D_PD_ver01.zip and unzip it. It creates a directory with all the Matlab M-files required to produce Figure 4 of [1]. Usage:Run the Matlab M-file Q_3D.m to produce Figure 4 of [1]. Description:The file Q_3D.mis the master file: it sets up the problem and integrates the equations for the liquid crystal alignment until convergence is reached. It finishes by producing a stick plot of the liquid crystal director field (Figure 4 of [1]).

The filecomp.mcontains a Matlab function that computes the time derivative of the director field equations.

The other M-files,cheb.m,Comp2Tens.mandTens2Eig.mare service routines.References

[1] K.R. Daly, G. D'Alessandro and M. Kaczmarek

An efficient Q-tensor based algorithm for liquid crystal alignment away from defects

SIAM J. App. Math.70(8), 2844-2860 (2010)

DOI: 10.1137/100796467

Page maintained by G. D'Alessandro. Last updated June 21, 2016.