Reduced computations for nematic-liquid crystals: A timestepper approach for systems with continuous symmetries

Lucia Russo, Constantinos I. Siettos, Ioannis G. Kevrekidis

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

In this work we address the development of a timestepper based computational approach to analyse the dynamics of the Smoluchowski equation directly, bypassing the necessity of finding closures to construct low-order macroscopic models, while at the same time factoring out in a dynamic way the underlying continuous symmetry. This can be thought as a two-tier model reduction methodology for systems with continuous symmetries: going from models with a large numbers of degrees of freedom to more compact models, in terms of a smaller number of dependent variables, while also taking care of the underlying invariance.

Original languageEnglish (US)
Pages (from-to)51-58
Number of pages8
JournalJournal of Non-Newtonian Fluid Mechanics
Volume146
Issue number1-3
DOIs
StatePublished - Oct 25 2007

All Science Journal Classification (ASJC) codes

  • Chemical Engineering(all)
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanical Engineering
  • Applied Mathematics

Keywords

  • Dynamic pinning
  • Equation-free computations
  • Model reduction
  • Nematic-liquid crystals

Fingerprint Dive into the research topics of 'Reduced computations for nematic-liquid crystals: A timestepper approach for systems with continuous symmetries'. Together they form a unique fingerprint.

  • Cite this