Contributions to Books:
M. Fallahpour, S. McKee, E. Weinmüller:
"Numerical simulation of flow in smectic liquid crystals";
in: "ASC Report 16/2018",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
Our aim is to simulate a nonlinear system of ODEs describing the ﬂow in smectic liquid crystals. The nonlinear system is ﬁrst linearized. We present a direct approach to compute the exact analytic solution of this linear system and use this solution as a starting proﬁle in the Matlab package bvpsuite2.0 to obtain the ap-proximate solution to the nonlinear system. Although, the solution of the nonlinear system has steep boundary layers and therefore is diﬃcult to resolve, we demon-strate that bvpsuite2.0 can cope with the problem and provide an approximation with reasonable accuracy.
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.