Adaptive time stepping for vesicle suspensions

JOURNAL OF COMPUTATIONAL PHYSICS

卷:306

Article

Quaife, Bryan¹  Biros, George² 

[1] Florida State Univ, Dept Comp Sci, Tallahassee, FL 32306 USA

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

关键词: Vesicle suspensions;    Adaptive time stepping;    Spectral deferred correction;    Particulate flows;    Stokesian flows;   

DOI  :  10.1016/j.jcp.2015.11.050

来源: Elsevier

【 摘 要 】

We present an adaptive high-order accurate time-stepping numerical scheme for the flow of vesicles suspended in Stokesian fluids. Our scheme can be summarized as an approximate implicit spectral deferred correction (SDC) method. Applying a fully-implicit SDC scheme to vesicle flows is prohibitively expensive. For this reason we introduce several approximations. Our scheme is based on a semi-implicit linearized low-order time stepping method. (Our discretization is spectrally accurate in space.) We expect that the accuracy can be arbitrary-order, but our examples suffer from order reduction which limits the observed accuracy to third-order. We also use invariant properties of vesicle flows, constant area and boundary length in two dimensions, to reduce the computational cost of error estimation for adaptive time stepping. We present results in two dimensions for single-vesicle flows, constricted geometry flows, converging flows, and flows in a Couette apparatus. We experimentally demonstrate that the proposed scheme enables automatic selection of the time step size and high-order accuracy. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free