Towards a Geometrical Multiscale Approach to Non-Newtonian Blood Flow Simulations

João Janela (), Alexandra Moura () and Adélia Sequeira ()
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João Janela: Department of Mathematics/ISEG and CEMAT/IST
Alexandra Moura: CEMAT/IST
Adélia Sequeira: Department of Mathematics and CEMAT/IST

A chapter in Advances in Mathematical Fluid Mechanics, 2010, pp 295-309 from Springer

Abstract: Abstract In this paper we address some problems that arise when modelling the human cardiovascular system. On one hand, blood is a complex fluid and in many situations Newtonian models may not be capable of capturing important aspects of blood rheology, for example its shear-thinning viscosity, viscoelasticity or yield stress. On the other hand, the geometric complexity of the cardiovascular system does not permit the use of full three-dimensional (3D) models in large regions. We deal with these problems by using a relatively simple non-Newtonian model capturing the shear-thinning behaviour of blood in a confined region of interest, and coupling it with a zero dimensional (0D) model (also called lumped parameters model) accounting for the remaining circulatory system. More specifically, the 0D system emulates the global circulation, providing proper boundary conditions to the 3D model.

Keywords: Blood rheology; Geometrical multiscale approach; Lumped parameters models; Numerical coupling strategies (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-04068-9_18

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DOI: 10.1007/978-3-642-04068-9_18

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