A hybrid numerical method for the phase-field model of fluid vesicles in three-dimensional space

Jaemin Shin, Darae Jeong, Yibao Li, Yongho Choi, Junseok Kim

Research output: Contribution to journalArticle

Abstract

We propose an accurate and robust numerical method for the phase-field model of fluid vesicles. An equilibrium shape of fluid vesicle is obtained by minimizing the bending energy with volume and surface area constraints. We propose a hybrid numerical scheme that combines the Lagrange multiplier and penalty methods for two constraints. The numerical method is based on a nonlinearly stabilized splitting scheme and a direct volume correction algorithm. A large penalty constant is generally required; however, it does not guarantee that the surface area converges to a given value. Thus, we propose an adaptive constraint algorithm for the penalty method. Various numerical examples are performed to demonstrate the accuracy and robustness of the proposed method.

Original languageEnglish
Pages (from-to)63-75
Number of pages13
JournalInternational Journal for Numerical Methods in Fluids
Volume78
Issue number2
DOIs
Publication statusPublished - 2015 May 20

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Phase Field Model
Vesicles
Hybrid Method
Numerical methods
Penalty Method
Numerical Methods
Surface area
Fluid
Three-dimensional
Fluids
Lagrange multipliers
Lagrange multiplier Method
Robust Methods
Numerical Scheme
Penalty
Robustness
Converge
Numerical Examples
Energy
Demonstrate

Keywords

  • Fluid vesicles
  • Hybrid method
  • Lagrange multiplier
  • Multigrid method
  • Penalty method
  • Phase-field model

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Mechanics
  • Applied Mathematics
  • Mechanical Engineering
  • Mechanics of Materials

Cite this

A hybrid numerical method for the phase-field model of fluid vesicles in three-dimensional space. / Shin, Jaemin; Jeong, Darae; Li, Yibao; Choi, Yongho; Kim, Junseok.

In: International Journal for Numerical Methods in Fluids, Vol. 78, No. 2, 20.05.2015, p. 63-75.

Research output: Contribution to journalArticle

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