High-volume fraction simulations of two-dimensional vesicle suspensions

JOURNAL OF COMPUTATIONAL PHYSICS

卷:274

Article

Quaife, Bryan¹  Biros, George¹ 

[1] Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA

关键词: Stokes flow;    Suspensions;    Particulate flows;    Vesicle simulations;    Boundary integral method;    Fluid membranes;    Semi-implicit algorithms;    Fluid-structure interaction;    Spectral collision detection;    Fast multipole methods;   

DOI  :  10.1016/j.jcp.2014.06.013

来源: Elsevier

【 摘 要 】

We consider numerical algorithms for the simulation of the rheology of two-dimensional vesicles suspended in a viscous Stokesian fluid. The vesicle evolution dynamics is governed by hydrodynamic and elastic forces. The elastic forces are due to local inextensibility of the vesicle membrane and resistance to bending. Numerically resolving vesicle flows poses several challenges. For example, we need to resolve moving interfaces, address stiffness due to bending, enforce the inextensibility constraint, and efficiently compute the (non-negligible) long-range hydrodynamic interactions. Our method is based on the work of Rahimian et al. (2010) [33]. It is a boundary integral formulation of the Stokes equations coupled to the interface mass continuity and force balance. We extend the algorithms presented in that paper to increase the robustness of the method and enable simulations with concentrated suspensions. In particular, we propose a scheme in which both intra-vesicle and inter-vesicle interactions are treated semi-implicitly. In addition we use special integration for near-singular integrals and we introduce a spectrally accurate collision detection scheme. We test the proposed methodologies on both unconfined and confined flows for vesicles whose internal fluid may have a viscosity contrast with the bulk medium. Our experiments demonstrate the importance of treating both intra-vesicle and inter-vesicle interactions accurately. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free