An immersed boundary method for simulating Newtonian vesicles in viscoelastic fluid

Seol, Yunchang; Tseng, Yu-Hau; Kim, Yongsam; Lai, Ming-Chih

doi:10.1016/j.jcp.2018.10.027

Cited by 9 publications

(6 citation statements)

References 43 publications

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“…2016; Seol et al. 2019), thermal fluctuations (Wortis, Jarić & Seifert 1997; Schneider, Jenkins & Webb 1984; Morse & Milner 1994; Michalet, Bensimon & Fourcade 1994; Seifert 1999; Finken et al. 2008; Ahmadpoor & Sharma 2016) and active internal stresses (Gao & Li 2017; Young, Shelley & Stein 2021) are among the many additional physical and biological features that have been considered, and a large body of literature is devoted to suspensions of many deformable particles such as cells and vesicles in flows (Kantsler, Segre & Steinberg 2008; Vlahovska, Podgorski & Misbah 2009; Veerapaneni et al.…”

Section: Introductionmentioning

confidence: 99%

Swinging and tumbling of multicomponent vesicles in flow

2022

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Biological membranes are host to proteins and molecules which may form domain-like structures resulting in spatially varying material properties. Vesicles with such heterogeneous membranes can exhibit intricate shapes at equilibrium and rich dynamics when placed into a flow. Under the assumption of small deformations and a two-dimensional system, we develop a reduced-order model to describe the fluid-structure interaction between a viscous background shear flow and an inextensible membrane with spatially varying bending stiffness and spontaneous curvature. Material property variations of a critical magnitude, relative to the flow rate and internal/external viscosity contrast, can set off a qualitative change in the vesicle dynamics. A membrane of nearly constant bending stiffness or spontaneous curvature undergoes a small amplitude swinging motion (which includes tangential tank-treading), while for large enough material variations the dynamics pass through a regime featuring tumbling and periodic phase-lagging of the membrane material, and ultimately for very large material variation to a rigid-body tumbling behaviour. Distinct differences are found for even and odd spatial modes of domain distribution. Full numerical simulations are used to probe the theoretical predictions, which appear valid even when studying substantially deformed membranes.

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Section: Introductionmentioning

confidence: 99%

Swinging and tumbling of multicomponent vesicles in flow

2022

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“…Phase diagrams for the shapes and dynamics of vesicles in linear flows has now been mapped out by numerous authors (Deschamps et al 2009a,b;Zabusky et al 2011;Abreu et al 2014;Barthes-Biesel 2016). The roles of nearby boundaries , inertia (Salac & Miksis 2012), semi-permeability (Quaife et al 2021), enclosed particles (Veerapaneni et al 2011b), fluid viscoelasticity (Mushenheim et al 2016;Seol et al 2019), thermal fluctuations (Wortis et al 1997;Schneider et al 1984;Morse & Milner 1994;Michalet et al 1994;Seifert 1999;Finken et al 2008;Ahmadpoor & Sharma 2016), and active internal stresses (Gao & Li 2017;Young et al 2021) are among the many additional physical and biological features that have been considered, and a large body of literature is devoted to suspensions of many vesicles in flows (Kantsler et al 2008;Vlahovska et al 2009;Veerapaneni et al 2011a;Zhao et al 2012;Freund 2014;Kumar & Graham 2015;Raffiee et al 2019). The membrane viscosity itself, meanwhile, can be accessed using flow patterns in the membrane driven by viscous stresses and other physical forces (Staykova et al 2008;Honerkamp-Smith et al 2013).…”

Section: Introductionmentioning

confidence: 99%

Swinging and tumbling of multicomponent vesicles in flow

Gera,

Salac,

Spagnolie

2021

Preprint

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Biological membranes are host to proteins and molecules which may form domain-like structures resulting in spatially-varying material properties. Vesicles with such heterogeneous membranes can exhibit intricate shapes at equilibrium and rich dynamics when placed into a flow. Under the assumption of small deformations we develop a reduced order model to describe the fluid-structure interaction between a viscous background shear flow and an inextensible membrane with spatially varying bending stiffness and spontaneous curvature. Material property variations of a critical magnitude, relative to the flow rate and internal/external viscosity contrast, can set off a qualitative change in the vesicle dynamics. A membrane of nearly constant bending stiffness or spontaneous curvature undergoes a small amplitude swinging motion (which includes tangential tank-treading), while for large enough material variations the dynamics pass through a regime featuring tumbling and periodic phase-lagging of the membrane material, and ultimately for very large material variation to a rigid body tumbling behavior. Distinct differences are found for even and odd spatial modes of domain distribution. Full numerical simulations are used to probe the theoretical predictions, which appear valid even when studying substantially deformed membranes.

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“…Nowadays, vesicles play an important role in the expanding field of synthetic biology, for instance, for the delivery of drugs in the treatment of cancer [12,13] and the production of biomolecules [14]. It is therefore unquestionably of some biological importance to better understand the effect of complex hemorheology on the behaviors of the vesicles [15][16][17]. The aim of our work is to present a finite element framework suitable for studying the dynamics of a vesicle in a non-Newtonian power-law flow.…”

Section: Introductionmentioning

confidence: 99%

“…While interface tracking techniques (or Lagrangian) require moving mesh nodes to track the moving interface, interface-capturing approaches (or Eulerian) [24] are usually formulated on fixed meshes (which does not prevent the mesh adaptation) while mesh elements do not adhere to the moving interface; the latter, however, introduce an additional advection equation into the global coupled system to describe implicitly the free interface. Lagragian approaches include, for example, the classical finite element method with a mesh adapting to membrane discretization [25], the boundary element method using a Green kernel for transforming viscous volume integrals into surface integrals [26,27], and the immersed boundary method [15,28]. Eulerian approaches include, among others, the level set method [3,[29][30][31][32][33], the phase field approach [34], and the isogeometric phase field method [35].…”

Section: Introductionmentioning

confidence: 99%

Hydrodynamics simulation of red blood cells: Employing a penalty method with double jump composition of lower order time integrator

Laadhari,

Deeb,

Kaoui

2023

Math Methods in App Sciences

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We propose a numerical framework tailored for simulating the dynamics of vesicles with inextensible membranes, which mimic red blood cells, immersed in a non‐Newtonian fluid environment. A penalty method is proposed to handle the inextensibility constraint by relaxation, allowing a simple computer implementation and an affordable computational load compared to the full mixed formulation. To handle the high‐order derivatives in the stress jump across the membrane, which arise due to the high geometric order of the Helfrich functional, we employ higher degree finite elements for spatial discretization. The time integration scheme relies on the double composition of the Crank–Nicolson scheme to achieve faster fourth‐order convergence behavior. Additionally, an adaptive time‐stepping strategy based on a third‐order temporal integration error estimation is implemented. We address the main features of the proposed method, which is benchmarked against existing numerical and experimental results. Furthermore, we investigate the influence of non‐Newtonian rheology on the system dynamics.

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An immersed boundary method for simulating Newtonian vesicles in viscoelastic fluid

Cited by 9 publications

References 43 publications

Swinging and tumbling of multicomponent vesicles in flow

Swinging and tumbling of multicomponent vesicles in flow

Swinging and tumbling of multicomponent vesicles in flow

Hydrodynamics simulation of red blood cells: Employing a penalty method with double jump composition of lower order time integrator

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