Generalized finite difference method for 3-D viscous flow in stenotic tubes with large wall deformation and collapse

DOI10.1016/S0168-9274(00)00062-3zbMath1020.76035OpenAlexW1999390196MaRDI QIDQ5939891

Chun Yang, Dalin Tang, Shunichi Kobayashi, David N. Ku

Publication date: 13 October 2003

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(00)00062-3

zbMATH Keywords

collapseNavier-Stokes equationsviscous flowblood flowcarotid arteriesfluid-wall interactionsgeneralized finite differencesincremental boundary iteration techniquelarge wall deformationstenotic elastic tubesthin-shell theory

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Biomechanics (92C10) Physiological flows (76Z05)

Related Items (4)

Pulsatile flow of blood through a 2D double-stenosed channel: effect of stenosis and pulsatility on wall shear stress ⋮ Pulsatile flow of a shear-thinning model for blood through a two-dimensional stenosed channel ⋮ Numerical simulation of physiologically relevant pulsatile flow of blood with shear-rate-dependent viscosity in a stenosed blood vessel ⋮ A generalized finite difference method for modeling cardiac electrical activation on arbitrary, irregular computational meshes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• Equilibrium states of elastic rings
• The finite difference method at arbitrary irregular grids and its application in applied mechanics
• Unsteady flow in a collapsible tube subjected to external pressure or body forces
• Steady viscous flow in constricted elastic tubes subjected to a uniform external pressure
• A 3-D thin-wall model with fluid–structure interactions for blood flow in carotid arteries with symmetric and asymmetric stenoses
• A 3-D thin-wall model with fluid–structure interactions for blood flow in carotid arteries with symmetric and asymmetric stenoses
• Post Buckling Behavior of Elastic Tubes and Rings with Opposite Sides in Contact
• Experiment-based numerical simulation of unsteady viscous flow in stenotic collapsible tubes.

This page was built for publication: Generalized finite difference method for 3-D viscous flow in stenotic tubes with large wall deformation and collapse