Numerical solution of the Ericksen-Leslie dynamic equations for two-dimensional nematic liquid crystal flows

DOI10.1016/j.jcp.2013.03.061zbMath1349.76447OpenAlexW2067540180MaRDI QIDQ347835

Iain W. Stewart, Sean McKee, Murilo F. Tomé, Pedro A. F. Cruz

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.03.061

zbMATH Keywords

analytic solutionfinite differencenematic liquid crystaltwo-dimensional flowEricksen-Leslie equations

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Liquid crystals (76A15) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (max. 100)

A hybrid particle-mesh method for incompressible active polar viscous gels ⋮ The Ericksen model of liquid crystals with colloidal and electric effects ⋮ A structure-preserving FEM for the uniaxially constrained \(\mathbf{Q} \)-tensor model of nematic liquid crystals ⋮ Error estimates of a sphere-constraint-preserving numerical scheme for Ericksen-Leslie system with variable density ⋮ A finite element method for the generalized Ericksen model of nematic liquid crystals ⋮ The Q-tensor model with uniaxial constraint ⋮ Freedericksz Transition in Nematic Liquid Crystal Flows in Dimension Two

Uses Software

• GENSMAC

Cites Work

• Unnamed Item
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