Dissipative coupling of fluid and immersed objects for modelling of cells in flow
type: Item
instance of: scholarly article
title: Dissipative coupling of fluid and immersed objects for modelling of cells in flow
zbMATH Open document ID: 1431.92016
DOI: 10.1155/2018/7842857
author: Martin Bušík
author: Martin Slavík
author: Ivan Cimrák
published in: Computational \& Mathematical Methods in Medicine
publication date: 2018-12-18T00:00:00Z
review text: Summary: Modelling of cell flow for biomedical applications relies in many cases on the correct description of fluid-structure interaction between the cell membrane and the surrounding fluid. We analyse the coupling of the lattice-Boltzmann method for the fluid and the spring network model for the cells. We investigate the bare friction parameter of fluid-structure interaction that is mediated via dissipative coupling. Such coupling mimics the no-slip boundary condition at the interface between the fluid and object. It is an alternative method to the immersed boundary method. Here, the fluid-structure coupling is provided by forces penalising local differences between velocities of the object's boundaries and the surrounding fluid. The method includes a phenomenological friction coefficient that determines the strength of the coupling. This work aims at determination of proper values of such friction coefficient. We derive an explicit formula for computation of this coefficient depending on the mesh density assuming a reference friction is known. We validate this formula on spherical and ellipsoidal objects. We also provide sensitivity analysis of the formula on all parameters entering the model. We conclude that such formula may be used also for objects with irregular shapes provided that the triangular mesh covering the object's surface is in some sense uniform. Our findings are justified by two computational experiments where we simulate motion of a red blood cell in a capillary and in a shear flow. Both experiments confirm our results presented in this work.
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 92C35
Mathematics Subject Classification ID: 76Z05
zbMATH DE Number: 6994506
zbMATH Keywords: cell flow modeling
zbMATH Keywords: fluid-structure interaction
zbMATH Keywords: phenomenological friction coefficient
zbMATH Keywords: red blood cell
Wikidata QID: Q58549038
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/7842857
OpenAlex ID: W2892775418
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description: scientific article; zbMATH DE number 6994506