Abstract:
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 (DLM/FD) method combined with
operator splitting techniques and finite element method has been
developed to simulate viscous incompressible flow in the above
channel. The movement of the free moving tube wall is obtained by a
prediction-relaxation technique. Numerical results and convergence
analysis are presented in this study.
This is a joint work with Drs. R. Glowinski and T.-W. Pan.
This seminar is easily accessible to persons with disabilities. For more information or for assistance, please contact the Mathematics Department at 743-3500.