A fictitious domain method for simulating viscous flow in a constricted elastic tube subject to a uniform external pressure

DOI10.1002/cnm.1317zbMath1406.76097OpenAlexW2144272716MaRDI QIDQ5305257

Tong Wang, Tsorng-Whay Pan, Roland Glowinski

Publication date: 19 March 2010

Published in: International Journal for Numerical Methods in Biomedical Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.1317

zbMATH Keywords

elastic tubefictitious domain methodfluid-structure interactionaxisymmetricstenosis

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Biomechanical solid mechanics (74L15) Physiological flows (76Z05) Physiological flow (92C35) Fictitious domain methods for initial value and initial-boundary value problems involving PDEs (65M85)

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Cites Work

• Numerical simulation of a multi-store separation phenomenon: a fictitious domain approach
• Distributed Lagrange multiplier methods for incompressible viscous flow around moving rigid bodies
• Added-mass effect in the design of partitioned algorithms for fluid--structure problems
• Product formulas and numerical algorithms
• Steady viscous flow in constricted elastic tubes subjected to a uniform external pressure
• A combined fictitious domain/adaptive meshing method for fluid–structure interaction in heart valves
• A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow.

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