A numerical method for osmotic water flow and solute diffusion with deformable membrane boundaries in two spatial dimension

JOURNAL OF COMPUTATIONAL PHYSICS

卷:350

Article

Yao, Lingxing¹  Mori, Yoichiro² 

[1] Case Western Reserve Univ, Dept Math Appl Math & Stat, Cleveland, OH 44106 USA

[2] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

关键词: Fluid structure interaction;    Osmosis;    Immersed boundary method;    Cartesian grid embedded boundary method;    Advection diffusion;   

DOI  :  10.1016/j.jcp.2017.09.006

来源: Elsevier

【 摘 要 】

Osmotic forces and solute diffusion are increasingly seen as playing a fundamental role in cell movement. Here, we present a numerical method that allows for studying the interplay between diffusive, osmotic and mechanical effects. An osmotically active solute obeys a advection-diffusion equation in a region demarcated by a deformable membrane. The interfacial membrane allows transmembrane water flow which is determined by osmotic and mechanical pressure differences across the membrane. The numerical method is based on an immersed boundary method for fluid-structure interaction and a Cartesian grid embedded boundary method for the solute. We demonstrate our numerical algorithm with the test case of an osmotic engine, a recently proposed mechanism for cell propulsion. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free