TY - JOUR
T1 - Reduced computations for nematic-liquid crystals
T2 - A timestepper approach for systems with continuous symmetries
AU - Russo, Lucia
AU - Siettos, Constantinos I.
AU - Kevrekidis, Ioannis G.
N1 - Funding Information:
The work of I.G.K. was partially supported by NSF and by a Guggenheim Fellowship. C.I.S. acknowledges support by the European Social Fund and National Resources – (EPEAEK II) – Pythagoras II. To this end, we would like also to thank Professor G. Forest and Professor P.L. Maffettone for many helpful discussions.
Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2007/10/25
Y1 - 2007/10/25
N2 - 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.
AB - 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.
KW - Dynamic pinning
KW - Equation-free computations
KW - Model reduction
KW - Nematic-liquid crystals
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U2 - 10.1016/j.jnnfm.2006.10.001
DO - 10.1016/j.jnnfm.2006.10.001
M3 - Article
AN - SCOPUS:34548415352
SN - 0377-0257
VL - 146
SP - 51
EP - 58
JO - Journal of Non-Newtonian Fluid Mechanics
JF - Journal of Non-Newtonian Fluid Mechanics
IS - 1-3
ER -