Some numerical approaches to solve fluid structure interaction problems in blood flow
type: Item
instance of: scholarly article
title: Some numerical approaches to solve fluid structure interaction problems in blood flow
zbMATH Open document ID: 1474.74044
DOI: 10.1155/2014/549189
author: Aik Ying Tang
author: Norsarahaida Amin
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: Some numerical approaches to solve fluid structure interaction problems in blood flow are reviewed. Fluid structure interaction is the interaction between a deformable structure with either an internal or external flow. A discussion on why the compliant artery associated with fluid structure interaction should be taken into consideration in favor of the rigid wall model being included. However, only the Newtonian model of blood is assumed, while various structure models which include, amongst others, generalized string models and linearly viscoelastic Koiter shell model that give a more realistic representation of the vessel walls compared to the rigid structure are presented. Since there exists a strong added mass effect due to the comparable densities of blood and the vessel wall, the numerical approaches to overcome the added mass effect are discussed according to the partitioned and monolithic classifications, where the deficiencies of each approach are highlighted. Improved numerical methods which are more stable and offer less computational cost such as the semi-implicit, kinematic splitting, and the geometrical multiscale approach are summarized, and, finally, an appropriate structure and numerical scheme to tackle fluid structure interaction problems are proposed.
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 92C35
Mathematics Subject Classification ID: 76Z05
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 7022605
Wikidata QID: Q59039402
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/549189
OpenAlex ID: W2025699571
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description: scientific article; zbMATH DE number 7022605