Hemorheology: Non-Newtonian constitutive models for blood flow simulations

A Farina, L Fusi, A Mikelić, G Saccomandi… - Non-Newtonian Fluid …, 2018 - Springer
Experimental studies over many years have shown that blood flow exhibits non-Newtonian
characteristics such as shear-thinning, viscoelasticity, yield stress and thixotropy. The …

[HTML][HTML] Temporal artificial stress diffusion for numerical simulations of Oldroyd-B fluid flow

M Pires, T Bodnár - Mathematics, 2022 - mdpi.com
This paper presents a numerical evaluation of two different artificial stress diffusion
techniques for the stabilization of viscoelastic Oldroyd-B fluid flows at high Weissenberg …

Simulation of the three-dimensional flow of blood using a shear-thinning viscoelastic fluid model

T Bodnár, KR Rajagopal, A Sequeira - Mathematical Modelling of …, 2011 - cambridge.org
This paper is concerned with the numerical simulation of a thermodynamically compatible
viscoelastic shear-thinning fluid model, particularly well suited to describe the rheological …

Transient penetration of a viscoelastic fluid in a narrow capillary channel

UR Sumanasekara, MN Azese… - Journal of Fluid …, 2017 - cambridge.org
This article describes an unexplored transport phenomenon where a mildly viscoelastic
medium encroaches a narrow capillary channel under the action of surface-tension force …

Mesoscopic simulations of unsteady shear-thinning flows

AM Artoli, A Sequeira - … Science–ICCS 2006: 6th International Conference …, 2006 - Springer
The capability of the lattice Boltzmann method as an accurate mesoscopic solver for
unsteady non-Newtonian flows is shown by investigating pulsatile shear-thinning blood flow …

Blood flow simulation using traceless variant of Johnson-Segalman viscoelastic model

T Bodnar, M Pires, J Janela - Mathematical Modelling of Natural …, 2014 - cambridge.org
A traceless variant of the Johnson-Segalman viscoelastic model is presented and applied to
blood flow simulations. The viscoelastic extra stress tensor is decomposed into its traceless …

Flows of generalized Oldroyd-B fluids in curved pipes

M Pires, A Sequeira - Parabolic Problems: The Herbert Amann Festschrift, 2011 - Springer
The aim of this work is to present a numerical study of generalized Oldroyd-B flows with
shear-thinning viscosity in a curved pipe of circular cross section and arbitrary curvature …

[PDF][PDF] Numerical tests of vanishing diffusion stabilization in Oldroyd-B fluid flow simulations

M Pires, T Bodnár - Topical Problems of Fluid Mechanics 2021, 2021 - it.cas.cz
This work presents some numerical tests of finite element solution of incompressible Oldroyd-
B fluids flows, using different types of numerical stabilization. In this study the diffusive term …

On the influence of diffusion stabilization in Oldroyd-B fluid flow simulations

M Pires, T Bodnar - 2020 - dspace.uevora.pt
This work presents some numerical tests of finite element solution of incompressible Oldroyd-
B fluid flows. The effect of numerical stabilization using arti cial stress diffusion is …

[PDF][PDF] Numerical approximation of viscoelastic Oldroyd-B flows in curved pipes (Kyoto Conference on the Navier-Stokes Equations and their Applications)

N Arada, M Pires, A Sequeira - 数理解析研究所講究 …, 2007 - repository.kulib.kyoto-u.ac.jp
The aim of this paper is to study a finite element numerical approximation of steady flows of
an incompressible viscoelastic Oldroyd‐B fluid in curved pipes of arbitrary cross‐section and …