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

Department of Mechanical and Aerospace Engineering

Northwestern University

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

68 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
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

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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.",

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AU - Salac, D.

AU - Miksis, M.

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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

UR - https://www.scopus.com/pages/publications/80052679380

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DO - 10.1016/j.jcp.2011.07.019

M3 - Article

AN - SCOPUS:80052679380

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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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