A well-balanced finite volume scheme for 1D hemodynamic simulations

Details A well-balanced finite volume scheme for 1D hemodynamic simulations A well-balanced finite volume scheme for 1D hemodynamic simulations

2011-08-31

arxiv.org/abs/1108.6210v2

Mathematics

Numerical Analysis

6 pages. R\'esum\'e en fran\c{c}ais : Nous nous int\'eressons \`a la simulation d'\'ecoulements sanguins dans des art\`eres do

Scientific paper

10.1051/proc/201235018

We are interested in simulating blood flow in arteries with variable
elasticity with a one dimensional model. We present a well-balanced finite
volume scheme based on the recent developments in shallow water equations
context. We thus get a mass conservative scheme which also preserves equilibria
of Q=0. This numerical method is tested on analytical tests.

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