A 3D non-Newtonian fluid-structure interaction model for blood flow in arteries

DOI10.1016/j.cam.2010.01.032zbMath1192.92014OpenAlexW1987181108MaRDI QIDQ977397

João Janela, Alexandra Moura, Adélia Sequeira

Publication date: 22 June 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.01.032

zbMATH Keywords

non-Newtonian fluidsblood flowfluid-structure interaction (FSI)

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Non-Newtonian fluids (76A05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Physiological flow (92C35)

Related Items (20)

Dynamics of the aortic arch submitted to a shock loading: Parametric study with fluid-structure models ⋮ Immersed boundary method for pulsatile transitional flow in realistic cerebral aneurysms ⋮ Numerical simulations of a 3D fluid-structure interaction model for blood flow in an atherosclerotic artery ⋮ Existence and uniqueness of compressible MHD solutions for non-Newtonian fluids ⋮ Development and application of a volume penalization immersed boundary method for the computation of blood flow and shear stresses in cerebral vessels and aneurysms ⋮ Some numerical approaches to solve fluid structure interaction problems in blood flow ⋮ Kinematic splitting algorithm for fluid-structure interaction in hemodynamics ⋮ Absorbing boundary conditions for a 3D non-Newtonian fluid-structure interaction model for blood flow in arteries ⋮ A matrix-form GSM-CFD solver for incompressible fluids and its application to hemodynamics ⋮ Finite element error estimation for quasi-Newtonian fluid-structure interaction problems ⋮ Effect of magnetic field on the radial pulsations of a gas bubble in a non-Newtonian fluid ⋮ Simulation of blood flow in a sudden expansion channel and a coronary artery ⋮ Numerical Methods for Power-Law Diffusion Problems ⋮ Fully discrete error estimation for a quasi-Newtonian fluid-structure interaction problem ⋮ Mathematical Modeling of Inflammatory Processes ⋮ A nonlinear Stokes–Biot model for the interaction of a non-Newtonian fluid with poroelastic media ⋮ Generalized Navier–Stokes equations with non-standard conditions for blood flow in atherosclerotic artery ⋮ Three-dimensional vibrations of multilayered hollow spheres submerged in a complex fluid ⋮ Fluid structure interaction study of stenosed carotid artery considering the effects of blood pressure ⋮ Mathematical modeling and simulation of the evolution of plaques in blood vessels

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• A new constitutive framework for arterial wall mechanics and a comparative study of material models
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