Adaptive grid methods for Q-tensor theory of liquid crystals: a one-dimensional feasibility study

A. Ramage, C.J.P. Newton

Research output: Contribution to journalArticle

6 Citations (Scopus)
142 Downloads (Pure)

Abstract

This paper illustrates the use of moving mesh methods for solving partial differential equation (PDE) problems in Q-tensor theory of liquid crystals. We present the results of an initial study using a simple one-dimensional test problem which illustrates the feasibility of applying adaptive grid techniques in such situations. We describe how the grids are computed using an equidistribution principle, and investigate the comparative accuracy of adaptive and uniform grid strategies, both theoretically and via numerical examples.
Original languageEnglish
Pages (from-to)160-181
Number of pages22
JournalMolecular Crystals and Liquid Crystals
Volume480
Issue number1
DOIs
Publication statusPublished - 1 Jan 2008

Keywords

  • nematic liquid crystals
  • order reconstruction
  • adaptive grids
  • moving meshes
  • statistics

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