A One Dimensional Model for Blood Flow: Application to Vascular Prosthesis

  • Luca Formaggia
  • Fabio Nobile
  • Alfio Quarteroni
Conference paper

DOI: 10.1007/978-3-642-56288-4_10

Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 19)
Cite this paper as:
Formaggia L., Nobile F., Quarteroni A. (2002) A One Dimensional Model for Blood Flow: Application to Vascular Prosthesis. In: Babuška I., Ciarlet P.G., Miyoshi T. (eds) Mathematical Modeling and Numerical Simulation in Continuum Mechanics. Lecture Notes in Computational Science and Engineering, vol 19. Springer, Berlin, Heidelberg

Abstract

We investigate a one dimensional model of blood flow in human arteries. In particular we consider the case when an abrupt variation of the mechanical characteristic of an artery is caused by the presence of a vascular prosthesis (e.g. a stent). The derivation of the model and the numerical scheme adopted for its solution are detailed. Numerical experiments show the effectiveness of the model for the problem at hand.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Luca Formaggia
    • 2
  • Fabio Nobile
    • 2
  • Alfio Quarteroni
    • 1
    • 2
  1. 1.Mathematics DepartmentPolitecnico di MilanoMilanoItaly
  2. 2.Mathematics DepartmentEPFLLausanneSwitzerland

Personalised recommendations