Mathematical Modeling and Numerical Simulation in Continuum Mechanics

Volume 19 of the series Lecture Notes in Computational Science and Engineering pp 137-153

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

  • Luca FormaggiaAffiliated withMathematics Department, EPFL
  • , Fabio NobileAffiliated withMathematics Department, EPFL
  • , Alfio QuarteroniAffiliated withMathematics Department, Politecnico di MilanoMathematics Department, EPFL

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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.