dc.creator | Guillén González, Francisco Manuel | es |
dc.creator | Tierra Chica, Giordano | es |
dc.date.accessioned | 2016-06-29T11:25:32Z | |
dc.date.available | 2016-06-29T11:25:32Z | |
dc.date.issued | 2015-06-15 | |
dc.identifier.citation | Guillén González, F.M. y Tierra Chica, G. (2015). Approximation of Smectic-A liquid crystals. Computer Methods in Applied Mechanics and Engineering, 290, 342-361. | |
dc.identifier.issn | 0045-7825 | es |
dc.identifier.issn | 1879-2138 | es |
dc.identifier.uri | http://hdl.handle.net/11441/42929 | |
dc.description.abstract | In this paper, we present energy-stable numerical schemes for a Smectic-A liquid crystal model.
This model involve the hydrodynamic velocity-pressure macroscopic variables (u, p) and the microscopic
order parameter of Smectic-A liquid crystals, where its molecules have a uniaxial orientational
order and a positional order by layers of normal and unitary vector n.
We start from the formulation given in [E’97] by using the so-called layer variable φ such that
n = ∇φ and the level sets of φ describe the layer structure of the Smectic-A liquid crystal. Then,
a strongly non-linear parabolic system is derived coupling velocity and pressure unknowns of the
Navier-Stokes equations (u, p) with a fourth order parabolic equation for φ.
We will give a reformulation as a mixed second order problem which let us to define some
new energy-stable numerical schemes, by using second order finite differences in time and C
0
-
finite elements in space. Finally, numerical simulations are presented for 2D-domains, showing the
evolution of the system until it reachs an equilibrium configuration.
Up to our knowledge, there is not any previous numerical analysis for this type of models. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.description.sponsorship | Ministry of Education, Youth and Sports of the Czech Republic | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Computer Methods in Applied Mechanics and Engineering, 290, 342-361. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Liquid crystal | es |
dc.subject | Micro-macro model | es |
dc.subject | Second order time scheme | es |
dc.subject | Finite elements | es |
dc.subject | Energy stability | es |
dc.title | Approximation of Smectic-A liquid crystals | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO/MTM2012-32325 | es |
dc.relation.projectID | LL1202 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.cma.2015.03.015 | |
dc.identifier.doi | 10.1016/j.cma.2015.03.015 | es |
dc.contributor.group | Universidad de Sevilla. FQM131: Ec.diferenciales,Simulacion Num.y Desarrollo Software | es |
idus.format.extent | 19 p. | es |
dc.journaltitle | Computer Methods in Applied Mechanics and Engineering | es |
dc.publication.volumen | 290 | es |
dc.publication.initialPage | 342 | es |
dc.publication.endPage | 361 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/42929 | |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | |
dc.contributor.funder | Ministry of Education, Youth and Sports. Czech Republic | |