A level set projection model of lipid vesicles in general flows

D. Salac; M. Miksis

doi:10.1016/j.jcp.2011.07.019

A level set projection model of lipid vesicles in general flows

D. Salac^*, M. Miksis

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

63 Scopus citations

Abstract

A new numerical method to model the dynamic behavior of lipid vesicles under general flows is presented. A gradient-augmented level set method is used to model the membrane motion. To enforce the volume- and surface-incompressibility constraints a four-step projection method is developed to integrate the full Navier-Stokes equations. This scheme is implemented on an adaptive non-graded Cartesian grid. Convergence results are presented, along with sample two-dimensional results of vesicles under various flow conditions.

Original language	English (US)
Pages (from-to)	8192-8215
Number of pages	24
Journal	Journal of Computational Physics
Volume	230
Issue number	22
DOIs	https://doi.org/10.1016/j.jcp.2011.07.019
State	Published - Sep 10 2011

Keywords

Fluid membrane
Level set
Lipid vesicle
Numerical method
Projection method

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
Physics and Astronomy(all)
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1016/j.jcp.2011.07.019

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title = "A level set projection model of lipid vesicles in general flows",

abstract = "A new numerical method to model the dynamic behavior of lipid vesicles under general flows is presented. A gradient-augmented level set method is used to model the membrane motion. To enforce the volume- and surface-incompressibility constraints a four-step projection method is developed to integrate the full Navier-Stokes equations. This scheme is implemented on an adaptive non-graded Cartesian grid. Convergence results are presented, along with sample two-dimensional results of vesicles under various flow conditions.",

keywords = "Fluid membrane, Level set, Lipid vesicle, Numerical method, Projection method",

author = "D. Salac and M. Miksis",

note = "Funding Information: The authors acknowledge partial support by NSF RTG Grant DMS-0630574 (D.S. and M.J.M.) and by NSF Grant DMS-0616468 (M.J.M.). ",

year = "2011",

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doi = "10.1016/j.jcp.2011.07.019",

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T1 - A level set projection model of lipid vesicles in general flows

AU - Salac, D.

AU - Miksis, M.

N1 - Funding Information: The authors acknowledge partial support by NSF RTG Grant DMS-0630574 (D.S. and M.J.M.) and by NSF Grant DMS-0616468 (M.J.M.).

PY - 2011/9/10

Y1 - 2011/9/10

N2 - A new numerical method to model the dynamic behavior of lipid vesicles under general flows is presented. A gradient-augmented level set method is used to model the membrane motion. To enforce the volume- and surface-incompressibility constraints a four-step projection method is developed to integrate the full Navier-Stokes equations. This scheme is implemented on an adaptive non-graded Cartesian grid. Convergence results are presented, along with sample two-dimensional results of vesicles under various flow conditions.

AB - A new numerical method to model the dynamic behavior of lipid vesicles under general flows is presented. A gradient-augmented level set method is used to model the membrane motion. To enforce the volume- and surface-incompressibility constraints a four-step projection method is developed to integrate the full Navier-Stokes equations. This scheme is implemented on an adaptive non-graded Cartesian grid. Convergence results are presented, along with sample two-dimensional results of vesicles under various flow conditions.

KW - Fluid membrane

KW - Level set

KW - Lipid vesicle

KW - Numerical method

KW - Projection method

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DO - 10.1016/j.jcp.2011.07.019

M3 - Article

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SN - 0021-9991

VL - 230

SP - 8192

EP - 8215

JO - Journal of Computational Physics

JF - Journal of Computational Physics

IS - 22

ER -

A level set projection model of lipid vesicles in general flows

Abstract

Keywords

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