Ir al contenido (pulsa Retorno)

Universitat Politècnica de Catalunya

    • Català
    • Castellano
    • English
    • LoginRegisterLog in (no UPC users)
  • mailContact Us
  • world English 
    • Català
    • Castellano
    • English
  • userLogin   
      LoginRegisterLog in (no UPC users)

UPCommons. Global access to UPC knowledge

58.714 UPC E-Prints
You are here:
View Item 
  •   DSpace Home
  • E-prints
  • Departaments
  • Departament de Matemàtiques
  • Articles de revista
  • View Item
  •   DSpace Home
  • E-prints
  • Departaments
  • Departament de Matemàtiques
  • Articles de revista
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

An adaptive meshfree method for phase-field models of biomembranes. Part II: A Lagrangian approach for membranes in viscous fluids

Thumbnail
View/Open
Adaptative meshfree part 2.pdf (5,485Mb) (Restricted access)   Request copy 

Què és aquest botó?

Aquest botó permet demanar una còpia d'un document restringit a l'autor. Es mostra quan:

  • Disposem del correu electrònic de l'autor
  • El document té una mida inferior a 20 Mb
  • Es tracta d'un document d'accés restringit per decisió de l'autor o d'un document d'accés restringit per política de l'editorial
Share:
 
 
10.1016/j.jcp.2013.04.038
 
  View Usage Statistics
Cita com:
hdl:2117/20106

Show full item record
Peco Regales, Christian
Arroyo Balaguer, MarinoMés informacióMés informacióMés informació
Rosolen, Adrian Martin
Document typeArticle
Defense date2013-09
Rights accessRestricted access - publisher's policy
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
ProjectPREDMODSIM - Predictive models and simulations in nano- and biomolecular mechanics: a multiscale approach (EC-FP7-240487)
Abstract
We present a Lagrangian phase-field method to study the low Reynolds number dynamics of vesicles embedded in a viscous fluid. In contrast to previous approaches, where the field variables are the phase-field and the fluid velocity, here we exploit the fact that the phasefield tracks a material interface to reformulate the problem in terms of the Lagrangian motion of a background medium, containing both the biomembrane and the fluid. We discretize the equations in space with maximum-entropy approximants, carefully shown to perform well in phase-field models of biomembranes in a companion paper. The proposed formulation is variational, lending itself to implicit time-stepping algorithms based on minimization of a time-incremental energy, which are automatically nonlinearly stable. The proposed method deals with two of the major challenges in the numerical treatment of coupled fluid/phase-field models of biomembranes, namely the adaptivity of the grid to resolve the sharp features of the phase-field, and the stiffness of the equations, leading to very small time-steps. In our method, local refinement follows the features of the phasefield as both are advected by the Lagrangian motion, and large time-steps can be robustly chosen in the variational time-stepping algorithm, which also lends itself to time adaptivity. The method is presented in the axisymmetric setting, but it can be directly extended to 3D.
CitationPeco, C.; Arroyo, M.; Rosolen, A. An adaptive meshfree method for phase-field models of biomembranes. Part II: A Lagrangian approach for membranes in viscous fluids. "Journal of computational physics", Setembre 2013, vol. 249, núm. 5, p. 320-336. 
URIhttp://hdl.handle.net/2117/20106
DOI10.1016/j.jcp.2013.04.038
ISSN0021-9991
Publisher versionhttps://www.sciencedirect.com/science/article/pii/S0021999113003239?via%3Dihub
Collections
  • Departament de Matemàtiques - Articles de revista [2.971]
  • LaCàN - Mètodes Numèrics en Ciències Aplicades i Enginyeria - Articles de revista [556]
Share:
 
  View Usage Statistics

Show full item record

FilesDescriptionSizeFormatView
Adaptative meshfree part 2.pdfBlocked5,485MbPDFRestricted access

Browse

This CollectionBy Issue DateAuthorsOther contributionsTitlesSubjectsThis repositoryCommunities & CollectionsBy Issue DateAuthorsOther contributionsTitlesSubjects

© UPC Obrir en finestra nova . Servei de Biblioteques, Publicacions i Arxius

info.biblioteques@upc.edu

  • About This Repository
  • Contact Us
  • Send Feedback
  • Inici de la pàgina