Numerical simulation of flow in smectic liquid crystals

Merlin Fallahpour, Sean McKee, Ewa B. Weinmüller

Research output: Contribution to journalArticle

Abstract

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 approximate solution to the nonlinear system. Although, the solution of the nonlinear system has steep boundary layers and therefore is difficult to resolve, we demonstrate that bvpsuite2.0 can cope with the problem and provide an approximation with reasonable accuracy.

Language English 154-162 9 Applied Numerical Mathematics 132 29 May 2018 10.1016/j.apnum.2018.05.014 Published - 31 Oct 2018

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Smectic liquid crystals
Liquid Crystal
Nonlinear systems
Nonlinear Systems
Numerical Simulation
Computer simulation
Analytic Solution
MATLAB
Linear systems
Boundary Layer
Resolve
Boundary layers
Approximate Solution
Linear Systems
Approximation
Demonstrate

Keywords

• boundary value problems in ODEs
• collocation method
• flow dynamics
• smectic A liquid crystals

Cite this

Fallahpour, Merlin ; McKee, Sean ; Weinmüller, Ewa B. / Numerical simulation of flow in smectic liquid crystals. In: Applied Numerical Mathematics. 2018 ; Vol. 132. pp. 154-162.
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Numerical simulation of flow in smectic liquid crystals. / Fallahpour, Merlin; McKee, Sean; Weinmüller, Ewa B.

In: Applied Numerical Mathematics, Vol. 132, 31.10.2018, p. 154-162.

Research output: Contribution to journalArticle

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