Details
| Original language | English |
|---|---|
| Article number | 116063 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 412 |
| Early online date | 10 May 2023 |
| Publication status | Published - 1 Jul 2023 |
Abstract
In this paper, we study the hydrodynamics of a vesicle doublet suspended in an external viscous fluid flow. Vesicles in this study are modeled using the phase-field model. The bending energy and energies associated with enforcing the global volume and area are considered. In addition, the local inextensibility condition is ensured by introducing an additional equation to the system. To prevent the vesicles from overlapping, we deploy an interaction energy definition to maintain a short-range repulsion between the vesicles. The fluid flow is modeled using Navier–Stokes equations under the assumption of incompressible flows, and the vesicle evolution in time is modeled using two advection equations describing the process of advecting each vesicle by the fluid flow. Rather than solving the velocity–pressure saddle point system, we apply the Residual-Based Variational MultiScale (RBVMS) method to Navier–Stokes equations and solve the coupled systems monolithically using isogeometric analysis. We study vesicle doublet hydrodynamics in shear flow, planar extensional flow, and parabolic flow under various configurations and boundary conditions. Based on the fluid flow profile and domain configuration, we have observed various dynamics like tank-threading, locking, doublet separation, sliding, and shape transformation in tubular channels.
Keywords
- Isogeometric analysis, Membrane adhesion, Parallel-computing, Phase-field, Vesicle hydrodynamics, Vesicles interaction
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 412, 116063, 01.07.2023.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Phase-field Navier–Stokes model for vesicle doublets hydrodynamics in incompressible fluid flow
AU - Ashour, Mohammed
AU - Valizadeh, Navid
AU - Rabczuk, Timon
N1 - Funding Information: The first author would like to acknowledge the financial support provided by the DAAD scholarship program. We thank the Digital Bauhaus Lab of Bauhaus-Universität Weimar for providing HPC resources through the ISM Compute Cluster VEGAS that have contributed to the research results reported in this paper.
PY - 2023/7/1
Y1 - 2023/7/1
N2 - In this paper, we study the hydrodynamics of a vesicle doublet suspended in an external viscous fluid flow. Vesicles in this study are modeled using the phase-field model. The bending energy and energies associated with enforcing the global volume and area are considered. In addition, the local inextensibility condition is ensured by introducing an additional equation to the system. To prevent the vesicles from overlapping, we deploy an interaction energy definition to maintain a short-range repulsion between the vesicles. The fluid flow is modeled using Navier–Stokes equations under the assumption of incompressible flows, and the vesicle evolution in time is modeled using two advection equations describing the process of advecting each vesicle by the fluid flow. Rather than solving the velocity–pressure saddle point system, we apply the Residual-Based Variational MultiScale (RBVMS) method to Navier–Stokes equations and solve the coupled systems monolithically using isogeometric analysis. We study vesicle doublet hydrodynamics in shear flow, planar extensional flow, and parabolic flow under various configurations and boundary conditions. Based on the fluid flow profile and domain configuration, we have observed various dynamics like tank-threading, locking, doublet separation, sliding, and shape transformation in tubular channels.
AB - In this paper, we study the hydrodynamics of a vesicle doublet suspended in an external viscous fluid flow. Vesicles in this study are modeled using the phase-field model. The bending energy and energies associated with enforcing the global volume and area are considered. In addition, the local inextensibility condition is ensured by introducing an additional equation to the system. To prevent the vesicles from overlapping, we deploy an interaction energy definition to maintain a short-range repulsion between the vesicles. The fluid flow is modeled using Navier–Stokes equations under the assumption of incompressible flows, and the vesicle evolution in time is modeled using two advection equations describing the process of advecting each vesicle by the fluid flow. Rather than solving the velocity–pressure saddle point system, we apply the Residual-Based Variational MultiScale (RBVMS) method to Navier–Stokes equations and solve the coupled systems monolithically using isogeometric analysis. We study vesicle doublet hydrodynamics in shear flow, planar extensional flow, and parabolic flow under various configurations and boundary conditions. Based on the fluid flow profile and domain configuration, we have observed various dynamics like tank-threading, locking, doublet separation, sliding, and shape transformation in tubular channels.
KW - Isogeometric analysis
KW - Membrane adhesion
KW - Parallel-computing
KW - Phase-field
KW - Vesicle hydrodynamics
KW - Vesicles interaction
UR - http://www.scopus.com/inward/record.url?scp=85158857253&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2023.116063
DO - 10.1016/j.cma.2023.116063
M3 - Article
AN - SCOPUS:85158857253
VL - 412
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
M1 - 116063
ER -