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

• Published in: International journal for numerical methods in biomedical engineering Vol. 26; no. 3-4; pp. 290 - 304
• Main Authors: Wang, Tong, Pan, Tsorng-Whay, Glowinski, Roland
• Format: Journal Article
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 01.03.2010
• Subjects: Axisymmetric; Channels; Computer simulation; Constrictions; elastic tube; External pressure; fictitious domain method; fluid-structure interaction; Mathematical models; Pressure drop; stenosis; Tubes
• ISSN: 2040-7939; 2040-7947; 2040-7947
• DOI: 10.1002/cnm.1317

Stenosis of vascular type is an abnormal narrowing in a blood vessel. It is a common cause of some cardiovascular illnesses, such as stroke. A nonlinear mathematical model with a free moving boundary is used to model axisymmetric elastic tube with constriction subjected to a uniform external pressure and a prescribed pressure drop. A distributed Lagrange multiplier based fictitious domain method combined with operator splitting techniques and finite element method has been developed to simulate viscous incompressible flow in the above channel. The motion of the free moving tube wall is obtained by a prediction–relaxation technique. Numerical results and convergence studies are presented in this paper. Copyright © 2009 John Wiley & Sons, Ltd.